Properties of the Number 31507

Thirty-One Thousand Five Hundred Seven

Basics

Value: 31506 → 31507 → 31508

Parity: odd

Prime: No

Previous Prime: 31489

Next Prime: 31511

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 7 ² × 643

Divisors: 1, 7, 49, 643, 4501, 31507

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111101100010011

Octal: 75423

Duodecimal: 16297

Hexadecimal: 7b13

Square: 992691049

Square Root: 177.50211266348353

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

Starts of runs of 3 consecutive numbers that have an equal number of even and odd exponents in their prime factorization (A187039). A348077

Starts of runs of 3 consecutive numbers that have an equal number of unitary and nonunitary prime divisors (A348097). A348099

Number of nodes (or order) of a graph model obtained using an automata scheme on sets of order prime(n) >= 5 and in which all not halt states are linked by arcs (edges). A160772

Number of n X n binary arrays symmetric under 90 degree rotation with all ones connected only in a 01000-11111-00010 pattern in any orientation. A147017

Number of excursions of length n with Motzkin-steps avoiding the consecutive steps UU, HH, DU and DD. A329690

a(n) = smallest k>0 such that the elliptic curve y² = x³ + k has rank n, or -1 if no such k exists. A31507

T(n,k)=Number of 0..k arrays x(0..n) of n+1 elements with zero n-1st differences. A200082