Properties of the Number 31315

Thirty-One Thousand Three Hundred Fifteen

Basics

Value: 31314 → 31315 → 31316

Parity: odd

Prime: No

Previous Prime: 31307

Next Prime: 31319

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 5 × 6263

Divisors: 1, 5, 6263, 31315

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111101001010011

Octal: 75123

Duodecimal: 16157

Hexadecimal: 7a53

Square: 980629225

Square Root: 176.96044755820438

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

Number T(n,k) of permutations p of [n] such that k is the maximum of 0 and the number of elements in any integer interval [p(i)..i+n*[i<p(i)]]; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A324563

Number T(n,k) of permutations p of [n] such that n-k is the maximum of 0 and the number of elements in any integer interval [p(i)..i+n*[i<p(i)]]; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A324564

Expansion of ∑_k>=1 (x/(1 - x))^k*(k+1/2). A280352

Number of permutations p of [2+n] such that n is the maximum of the number of elements in any integer interval [p(i)..i+(2+n)*[i<p(i)]]. A324622

Binomial transform of Thue-Morse sequence A010060. A19302

Number of permutations p of [n] such that seven is the maximum of the number of elements in any integer interval [p(i)..i+n*[i<p(i)]]. A324634

Indices of primes in sequence defined by A(0) = 33, A(n) = 10·A(n-1) + 43 for n > 0. A56255

Number of nX3 0..3 arrays with new values 0..3 introduced in row major order and no element equal to any knight-move neighbor (colorings ignoring permutations of colors). A208348

Number of n X 4 0..1 arrays with no 1 equal to more than two of its king-move neighbors, with the exception of exactly one element. A282556

Number of 4Xn 0..1 arrays with every element equal to 1, 2, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302729