Sunday, October 28, 2018

Number of the day: 24323

Properties of the number 24323:

24323 is a cyclic number.
24323 = 13 × 1871 is semiprime and squarefree.
24323 has 2 distinct prime factors, 4 divisors, 25 antidivisors and 22440 totatives.
24323 has a semiprime digit sum 14 in base 10.
24323 has a Fibonacci digit product 144 in base 10.
Reversing the decimal digits of 24323 results in a sphenic number.
24323 = 121622 - 121612 = 9422 - 9292 is the difference of 2 nonnegative squares in 2 ways.
24323 is the difference of 2 positive pentagonal numbers in 2 ways.
24323 = 32 + 172 + 1552 is the sum of 3 positive squares.
243232 = 93552 + 224522 is the sum of 2 positive squares in 1 way.
243232 is the sum of 3 positive squares.
24323 is a proper divisor of 148311 - 1.
24323 is an emirpimes in (at least) the following bases: 2, 3, 4, 8, 16, 17, 18, 22, 23, 26, 31, 33, 35, 39, 41, 42, 43, 47, 48, 49, 50, 56, 57, 58, 59, 69, 73, 75, 79, 82, 84, 85, 86, 88, 91, 96, and 98.
24323 is palindromic in (at least) the following bases: 80, -83, and -95.

The number 24323 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A009939: Coordination sequence for MgZn2, Mg position.
A068055: Partial sums of A066425.
A075288: Interprimes (A024675) which are of the form s*prime, s=13.
A075461: Sorted list of solutions to the n-term Znam problem.
A156635: 144*n^2 - n.
A158550: a(n) = 169*n^2 - 13.
A217924: Row sums of triangle A217537.
A274075: Sum of n-th powers of the roots of x^3 + x^2 - 9*x - 1.
A292754: Numerators of coefficients in an asymptotic expansion of the Wallis sequence in inverse powers of n.

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