Wednesday, October 18, 2017

Number of the day: 586159

Properties of the number 586159:

586159 is a cyclic number.
586159 = 7 × 83737 is semiprime and squarefree.
586159 has 2 distinct prime factors, 4 divisors, 17 antidivisors and 502416 totatives.
586159 has a semiprime digit sum 34 in base 10.
586159 has a Fibonacci digit sum 34 in base 10.
Reversing the decimal digits of 586159 results in a sphenic number.
586159 = 2930802 - 2930792 = 418722 - 418652 is the difference of 2 nonnegative squares in 2 ways.
586159 is the sum of 2 positive triangular numbers.
586159 is the difference of 2 positive pentagonal numbers in 2 ways.
586159 is not the sum of 3 positive squares.
5861592 = 2958552 + 5060162 is the sum of 2 positive squares in 1 way.
5861592 is the sum of 3 positive squares.
586159 is a proper divisor of 7972326 - 1.
586159 = '5861' + '59' is the concatenation of 2 prime numbers.
586159 = '58' + '6159' is the concatenation of 2 semiprime numbers.
586159 is an emirpimes in (at least) the following bases: 2, 5, 11, 14, 17, 18, 20, 24, 26, 30, 32, 33, 37, 41, 43, 44, 47, 51, 53, 54, 58, 59, 63, 65, 67, 73, 74, 78, 83, 86, 87, 91, 97, and 98.
586159 is palindromic in (at least) base -100.

The number 586159 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequence (among others):

Sequence number and description below are taken from OEIS.
A148295: Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, 0, 1), (-1, 1, 1), (0, 1, 0), (1, -1, 0)}

Tuesday, October 17, 2017

Number of the day: 94234

Properties of the number 94234:

94234 = 2 × 7 × 53 × 127 is the 85144th composite number and is squarefree.
94234 has 4 distinct prime factors, 16 divisors, 19 antidivisors and 39312 totatives.
94234 has a semiprime digit sum 22 in base 10.
Reversing the decimal digits of 94234 results in a semiprime.
94234 is the difference of 2 positive pentagonal numbers in 5 ways.
94234 = 602 + 972 + 2852 is the sum of 3 positive squares.
942342 = 497842 + 800102 is the sum of 2 positive squares in 1 way.
942342 is the sum of 3 positive squares.
94234 is a proper divisor of 1073 - 1.
94234 is palindromic in (at least) the following bases: -51, and -87.
94234 in base 50 = bYY and consists of only the digits 'Y' and 'b'.

The number 94234 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A191490: Triangle generated by the recurrence T(n+1,k+1) = T(n,k+1) + n * T(n,k) + delta(n,k) with the initial values T(n,0) = 1 and T(0,k) = delta(k,0), where delta(n,k) is the Kronecker delta.
A231262: Number of (n+1)X(7+1) 0..2 arrays with no element unequal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..2 introduced in row major order
A231263: T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no element unequal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..2 introduced in row major order
A231265: Number of (3+1)X(n+1) 0..2 arrays with no element unequal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..2 introduced in row major order
A238868: Number of partitions of n where the difference between consecutive parts is at most 8.

Monday, October 16, 2017

Number of the day: 467661421

Properties of the number 467661421:

467661421 = 192 × 43 × 47 × 641 is the 442922698th composite number and is not squarefree.
467661421 has 4 distinct prime factors, 24 divisors, 39 antidivisors and 422876160 totatives.
467661421 has an emirp digit sum 37 in base 10.
467661421 = 743 + 5413 + 6763 is the sum of 3 positive cubes in 1 way.
467661421 is the difference of 2 nonnegative squares in 12 ways.
467661421 is the sum of 2 positive triangular numbers.
467661421 is the difference of 2 positive pentagonal numbers in 10 ways.
467661421 = 5142 + 9152 + 216002 is the sum of 3 positive squares.
4676614212 = 1459162002 + 4443148292 is the sum of 2 positive squares in 1 way.
4676614212 is the sum of 3 positive squares.
467661421 is a proper divisor of 12837866 - 1.
467661421 = '467' + '661421' is the concatenation of 2 prime numbers.

Sunday, October 15, 2017

Number of the day: 6715453888

Properties of the number 6715453888:

6715453888 = 26 × 11 × 13 × 23 × 61 × 523 is the 6404212721th composite number and is not squarefree.
6715453888 has 6 distinct prime factors, 224 divisors, 65 antidivisors and 2645913600 totatives.
6715453888 has a semiprime digit sum 55 in base 10.
6715453888 has a Fibonacci digit sum 55 in base 10.
6715453888 has a triangular digit sum 55 in base 10.
6715453888 is the difference of 2 nonnegative squares in 80 ways.
6715453888 is the difference of 2 positive pentagonal numbers in 14 ways.
6715453888 is not the sum of 3 positive squares.
67154538882 = 25828668802 + 61988805122 = 14226938882 + 65630224002 = 36583557122 + 56314966402 = 12109834882 + 66053644802 is the sum of 2 positive squares in 4 ways.
67154538882 is the sum of 3 positive squares.
6715453888 is a proper divisor of 463660 - 1.
6715453888 is palindromic in (at least) base 7.

Saturday, October 14, 2017

Number of the day: 3265527765

Properties of the number 3265527765:

3265527765 = 3 × 5 × 217701851 is a sphenic number and squarefree.
3265527765 has 3 distinct prime factors, 8 divisors, 59 antidivisors and 1741614800 totatives.
3265527765 = 16327638832 - 16327638822 = 5442546292 - 5442546262 = 3265527792 - 3265527742 = 1088509332 - 1088509182 is the difference of 2 nonnegative squares in 4 ways.
3265527765 is the sum of 2 positive triangular numbers.
3265527765 is the difference of 2 positive pentagonal numbers in 2 ways.
3265527765 = 3052 + 4762 + 571422 is the sum of 3 positive squares.
32655277652 = 19593166592 + 26124222122 is the sum of 2 positive squares in 1 way.
32655277652 is the sum of 3 positive squares.
3265527765 is a proper divisor of 13214354037 - 1.

Thursday, October 12, 2017

Number of the day: 874427

Properties of the number 874427:

874427 is a cyclic number.
874427 is the 69406th prime.
874427 has 25 antidivisors and 874426 totatives.
Reversing the decimal digits of 874427 results in a sphenic number.
874427 = 4372142 - 4372132 is the difference of 2 nonnegative squares in 1 way.
874427 is the difference of 2 positive pentagonal numbers in 1 way.
874427 = 92 + 112 + 9352 is the sum of 3 positive squares.
8744272 is the sum of 3 positive squares.
874427 is a proper divisor of 4162459 - 1.
874427 = '87' + '4427' is the concatenation of 2 semiprime numbers.
874427 is an emirp in (at least) the following bases: 8, 11, 14, 19, 23, 27, 38, 47, 48, 54, 61, 69, 78, 81, 83, 88, 92, 93, and 97.

The number 874427 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequence (among others):

Sequence number and description below are taken from OEIS.
A245466: a(n) = sigma_1(1) + sigma_2(2) + sigma_3(3) + ... + sigma_n-1(n-1) + sigma_n(n).

Wednesday, October 11, 2017

Number of the day: 2108

Properties of the number 2108:

2108 = 22 × 17 × 31 is the 1790th composite number and is not squarefree.
2108 has 3 distinct prime factors, 12 divisors, 9 antidivisors and 960 totatives.
2108 has a prime digit sum 11 in base 10.
2108 has sum of divisors equal to 4032 which is an oblong number.
2108 = 22 + … + 182 is the sum of at least 2 consecutive positive squares in 1 way.
2108 = 5282 - 5262 = 482 - 142 is the difference of 2 nonnegative squares in 2 ways.
2108 is the sum of 2 positive triangular numbers.
2108 is the difference of 2 positive pentagonal numbers in 2 ways.
2108 is not the sum of 3 positive squares.
21082 = 9922 + 18602 is the sum of 2 positive squares in 1 way.
21082 is the sum of 3 positive squares.
2108 is a proper divisor of 3732 - 1.
2108 is palindromic in (at least) the following bases: 5, 27, 43, 61, 67, -6, -39, and -49.
2108 in base 3 = 2220002 and consists of only the digits '0' and '2'.
2108 in base 14 = aa8 and consists of only the digits '8' and 'a'.
2108 in base 20 = 558 and consists of only the digits '5' and '8'.
2108 in base 26 = 332 and consists of only the digits '2' and '3'.
2108 in base 27 = 2o2 and consists of only the digits '2' and 'o'.
2108 in base 42 = 188 and consists of only the digits '1' and '8'.
2108 in base 43 = 161 and consists of only the digits '1' and '6'.
2108 in base 45 = 11c and consists of only the digits '1' and 'c'.

The number 2108 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A003106: Number of partitions of n into parts 5k+2 or 5k+3.
A028884: a(n) = (n + 3)^2 - 8.
A034327: Triangle of numbers of connected regular (k X n)-matrix matroids of dimension k.
A092945: Group the natural numbers so that the n-th group contains n numbers whose sum as well as the group product + 1 is prime. Sequence contains the last term of each group.
A105142: Positive integers n such that n^12 + 1 is semiprime.
A135789: Positive numbers of the form x^4 - 6 * x^2 * y^2 + y^4 (where x,y are integers).
A139570: 2n(n+3).
A229645: Cogrowth function of the group Baumslag-Solitar(3,3).
A238864: Number of partitions of n where the difference between consecutive parts is at most 4.
A260573: Numbers n such that (n^97+1)/(n+1) is prime.