Number of the day: 10312

David Hilbert was born on this day 159 years ago.

Properties of the number 10312:

10312 is the 2443^th totient number.
10312 = 2³ × 1289 is the 9047^th composite number and is not squarefree.
10312 has 2 distinct prime factors, 8 divisors, 21 antidivisors and 5152 totatives.
10312 has a prime digit sum 7 in base 10.
Reversing the decimal digits of 10312 results in a sphenic number.
10312 = 2579² - 2577² = 1291² - 1287² is the difference of 2 nonnegative squares in 2 ways.
10312 is the difference of 2 positive pentagonal numbers in 2 ways.
10312 = 54² + 86² is the sum of 2 positive squares in 1 way.
10312 = 40² + 66² + 66² is the sum of 3 positive squares.
10312² = 4480² + 9288² is the sum of 2 positive squares in 1 way.
10312² is the sum of 3 positive squares.
10312 is a proper divisor of 479⁴ - 1.
10312 = '1031' + '2' is the concatenation of 2 prime numbers.
10312 is palindromic in (at least) the following bases: -26, and -61.
10312 in base 25 = gcc and consists of only the digits 'c' and 'g'.
10312 in base 58 = 33k and consists of only the digits '3' and 'k'.

The number 10312 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A064837: a(n) = (6*n^4 + 30*n^3 - 20*n^2 + 14)*n/30 + (n mod 2).
A087439: Expansion of (1-4x)/((1-x)(1-3x)(1-5x)).
A089396: Smallest n-digit member of A089395.
A116042: n+phi(n)+phi(phi(n)) is a cube.
A157159: Infinite product representation of series 1 - log(1-x)= 1 + sum((j-1)!*(x^j)/j!, j=1..infinity).
A207625: Triangle of coefficients of polynomials u(n,x) jointly generated with A207626; see the Formula section.
A215746: Numerator of sum(i=0..n, (-1)^i*4/(2*i + 1)).
A290892: p-INVERT of the positive integers, where p(S) = 1 - S^4.
A291817: G.f. A(x) satisfies: A(x - 3*x*A(x)) = x + x*A(x).
A326472: Sum of the second largest parts of the partitions of n into 9 parts.