Number of the day: 5203

Properties of the number 5203:

5203 = 11² × 43 is the 4510^th composite number and is not squarefree.
5203 has 2 distinct prime factors, 6 divisors, 9 antidivisors and 4620 totatives.
5203 has a semiprime digit sum 10 in base 10.
5203 has a triangular digit sum 10 in base 10.
5203 has sum of divisors equal to 5852 which is an oblong number.
5203 = 2602² - 2601² = 242² - 231² = 82² - 39² is the difference of 2 nonnegative squares in 3 ways.
5203 is the sum of 2 positive triangular numbers.
5203 is the difference of 2 positive pentagonal numbers in 3 ways.
5203 = 3² + 35² + 63² is the sum of 3 positive squares.
5203² is the sum of 3 positive squares.
5203 is a proper divisor of 1291⁵ - 1.
5203 is palindromic in (at least) the following bases: 7, 40, -22, and -50.
5203 in base 7 = 21112 and consists of only the digits '1' and '2'.
5203 in base 17 = 1101 and consists of only the digits '0' and '1'.
5203 in base 18 = g11 and consists of only the digits '1' and 'g'.
5203 in base 21 = bgg and consists of only the digits 'b' and 'g'.
5203 in base 25 = 883 and consists of only the digits '3' and '8'.
5203 in base 39 = 3GG and consists of only the digits '3' and 'G'.
5203 in base 40 = 3A3 and consists of only the digits '3' and 'A'.
5203 in base 41 = 33b and consists of only the digits '3' and 'b'.

The number 5203 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A045940: Numbers n such that the factorizations of n through n+3 have the same number of primes (including multiplicities).
A098547: a(n) = n^3 + n^2 + 1.
A124057: Numbers n such that n, n+1, n+2 and n+3 are products of exactly 3 primes.
A126230: Odd interprimes divisible by 11.
A165463: Numbers of the form 12n+7 for which Sum_{i=0..(4n+2)} J(i,12n+7) = 0, where J(i,m) is the Jacobi symbol.
A182260: Number of ordered triples (w,x,y) with all terms in {1,...,n} and 2w<x+y.
A195047: Concentric 17-gonal numbers.
A217725: Numbers n such that 5n is a partition number.
A219051: Numbers n such that 3^n - 34 is prime.
A232467: Triangle read by rows: T(n,k) = number of fully connected (n,k) corner designs (n >= 0, 1 <= k <= n+1).