Monday, June 25, 2018

Number of the day: 7435

Properties of the number 7435:

7435 is a cyclic number.
7435 = 5 × 1487 is semiprime and squarefree.
7435 has 2 distinct prime factors, 4 divisors, 5 antidivisors and 5944 totatives.
7435 has a prime digit sum 19 in base 10.
7435 has an oblong digit product 420 in base 10.
Reversing the decimal digits of 7435 results in a prime.
7435 = 43 + 83 + 193 is the sum of 3 positive cubes in 1 way.
7435 = 37182 - 37172 = 7462 - 7412 is the difference of 2 nonnegative squares in 2 ways.
7435 is the sum of 2 positive triangular numbers.
7435 is the difference of 2 positive pentagonal numbers in 2 ways.
7435 = 212 + 552 + 632 is the sum of 3 positive squares.
74352 = 44612 + 59482 is the sum of 2 positive squares in 1 way.
74352 is the sum of 3 positive squares.
7435 is a proper divisor of 11743 - 1.
7435 = '743' + '5' is the concatenation of 2 prime numbers.
7435 = '74' + '35' is the concatenation of 2 semiprime numbers.
7435 is an emirpimes in (at least) the following bases: 6, 7, 8, 9, 18, 19, 20, 21, 28, 33, 36, 43, 49, 51, 52, 53, 64, 65, 66, 67, 70, 72, 73, 75, 77, 79, 80, 81, 86, 91, 95, 97, and 100.
7435 is palindromic in (at least) the following bases: 27, and 63.
7435 in base 9 = 11171 and consists of only the digits '1' and '7'.
7435 in base 26 = app and consists of only the digits 'a' and 'p'.
7435 in base 27 = a5a and consists of only the digits '5' and 'a'.
7435 in base 38 = 55P and consists of only the digits '5' and 'P'.
7435 in base 62 = 1vv and consists of only the digits '1' and 'v'.

The number 7435 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A051258: Fibocyclotomic numbers: numbers formed from cyclotomic polynomials and Fibonacci numbers (A000045).
A051673: Cubic star numbers: a(n) = n^3 + 4*Sum_{i=0..n-1} i^2.
A063704: Cyclotomic polynomials Phi_n at x=phi divided by sqrt(5) and floored down (where phi = tau = (sqrt(5)+1)/2).
A063706: Cyclotomic polynomials Phi_n at x=phi, divided by sqrt(5) and rounded to nearest integer (where phi = tau = (sqrt(5)+1)/2).
A122795: Connell (5,3)-sum sequence (partial sums of the (5,3)-Connell sequence)
A124502: a(1)=a(2)=1; thereafter, a(n+1) = a(n) + a(n-1) + 1 if n is a multiple of 5, otherwise a(n+1) = a(n) + a(n-1).
A138134: a(n) = sum(k=0..n, Fibonacci(5*k) ).
A157999: 338n - 1.
A158393: 676n - 1.
A158628: 44n^2-1.

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