Properties of the Number 31298

Thirty-One Thousand Two Hundred Ninety-Eight

Basics

Value: 31297 → 31298 → 31299

Parity: even

Prime: No

Previous Prime: 31277

Next Prime: 31307

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 × 15649

Divisors: 1, 2, 15649, 31298

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111101001000010

Octal: 75102

Duodecimal: 16142

Hexadecimal: 7a42

Square: 979564804

Square Root: 176.91240770505613

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

a(n) = ∑_i=0..n-1 (1 + (-1)^n-1-i)/2 * ∑_j=0..i a(j)*a(i-j) for n > 0, with a(0) = 1. A85139

Number of non-equivalent (mod D₃) ways to place 4 indistinguishable points on a triangular grid of side n so that no two of them are adjacent. A239574

Semiprimes in A103377. A103397

a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (odd natural numbers), t = (primes). A25117

Number of 4Xn arrays containing n copies of 0..4-1 with every element equal to or 1 greater than any north, west or northeast neighbors modulo 4 and the upper left element equal to 0. A267397

Number of partitions satisfying cn(1,5) + cn(4,5) <= cn(2,5) + cn(3,5). A39894

Triangle T(n,k): write n in base 10, reverse order of digits. A31298

T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with every element equal to or 1 greater than any north, west or northeast neighbors modulo n and the upper left element equal to 0. A267392