Number of the day: 2372

Niels Henrik Abel was born on this day 216 years ago.

Properties of the number 2372:

2372 = 2² × 593 is the 2020^th composite number and is not squarefree.
2372 has 2 distinct prime factors, 6 divisors, 17 antidivisors and 1184 totatives.
2372 has a semiprime digit sum 14 in base 10.
2372 = 594² - 592² is the difference of 2 nonnegative squares in 1 way.
2372 is the difference of 2 positive pentagonal numbers in 1 way.
2372 = 16² + 46² is the sum of 2 positive squares in 1 way.
2372 = 2² + 8² + 48² is the sum of 3 positive squares.
2372² = 1472² + 1860² is the sum of 2 positive squares in 1 way.
2372² is the sum of 3 positive squares.
2372 is a proper divisor of 1187² - 1.
2372 is palindromic in (at least) the following bases: 30, -6, and -17.
2372 in base 7 = 6626 and consists of only the digits '2' and '6'.
2372 in base 16 = 944 and consists of only the digits '4' and '9'.
2372 in base 29 = 2nn and consists of only the digits '2' and 'n'.
2372 in base 30 = 2j2 and consists of only the digits '2' and 'j'.
2372 in base 48 = 11K and consists of only the digits '1' and 'K'.

The number 2372 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A002104: Logarithmic numbers.
A025048: Ascending wiggly sums: number of sums adding to n in which terms alternately increase and decrease.
A046716: Coefficients of a special case of Poisson-Charlier polynomials.
A094816: Triangle read by rows: T(n,k), 0<=k<=n, = coefficients of Charlier polynomials: A046716 transposed.
A097812: Numbers n such that n^2 is the sum of two or more consecutive positive squares.
A134619: Numbers such that the arithmetic mean of the cubes of their prime factors (taken with multiplicity) is a prime.
A194434: D-toothpick sequence of the second kind starting with a X-shaped cross formed by 4 D-toothpicks.
A198632: Triangle version of the array of the number of closed paths of even length on the graph P_n (n vertices, n-1 edges).
A220063: Decades whose semiprime pattern is the same as semiprime pattern in the previous decade.
A232908: T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally or antidiagonally