Tuesday, March 29, 2016

Number of the day: 98596

Properties of the number 98596:

98596 = 22 × 1572 is the 89129th composite number and is not squarefree.
98596 has 2 distinct prime factors, 9 divisors, 6 antidivisors and 48984 totatives.
98596 = 3142 is a perfect power of an emirpimes.
98596 has an emirp digit sum 37 in base 10.
Reversing the decimal digits of 98596 results in a sphenic number.
98596 = 3142 is a perfect square.
98596 = (313 × 314)/2 + (314 × 315)/2 is the sum of at least 2 consecutive triangular numbers in 1 way.
98596 = 246502 - 246482 = 3142 - 02 is the difference of 2 nonnegative squares in 2 ways.
98596 is the sum of 2 positive triangular numbers.
98596 is the difference of 2 positive pentagonal numbers in 2 ways.
98596 is the sum of 3 positive squares.
98596 = 1702 + 2642 is the sum of 2 positive squares in 1 way.
985962 is the sum of 2 positive squares in 2 ways.
98596 is a divisor of 23378 - 1.
98596 in base 55 = WWa and consists of only the digits 'W' and 'a'.

The number 98596 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A017462: (11*n+6)^2.
A017546: (12n+2)^2.
A028941: Denominator of X-coordinate of n*P where P is generator for rational points on curve y^2+y = x^3-x.
A028945: A006720(n)^2 (squared terms of Somos-4 sequence).
A067178: Smallest square whose sum of digits is A056991(n).
A069262: a(n) = 4*prime(n)^2.
A112735: Exclusionary squares.
A182678: a(n) = the largest n-digit number with exactly 9 divisors, a(n) = 0 if no such number exists.
A192689: Squares for which no final group of decimal digits less than the total forms a square.
A225151: Squares which are a decimal concatenation of triprimes.

No comments:

Post a Comment