Properties of the Number 715

Seven Hundred Fifteen

Basics

Value: 714 → 715 → 716

Parity: odd

Prime: No

Previous Prime: 709

Next Prime: 719

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 5 × 11 × 13

Divisors: 1, 5, 11, 13, 55, 65, 143, 715

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011001011

Octal: 1313

Duodecimal: 4B7

Hexadecimal: 2cb

Square: 511225

Square Root: 26.739483914241877

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

Pentagonal numbers: a(n) = n*(3·n-1)/2. A326

Binomial coefficient binomial(n,4) = n*(n-1)*(n-2)*(n-3)/24. A332

The squarefree numbers ordered lexicographically by their prime factorization (with factors written in decreasing order). a(n) = ∏_{k in I} prime(k+1), where I is the set of indices of nonzero binary digits in n = ∑_{k in I} 2^k. A19565

Generalized pentagonal numbers: m*(3·m - 1)/2, m = 0, +-1, +-2, +-3, .... A1318

Set partitions without singletons: number of partitions of an n-set into blocks of size > 1. Also number of cyclically spaced (or feasible) partitions. A296

Hexagonal pyramidal numbers, or greengrocer's numbers. A2412

Expansion of 1/((1-x)⁴*(1+x)). A2623

Generalized 10-gonal numbers: m*(4·m - 3) for m = 0, +- 1, +- 2, +- 3, ... A74377

Triangular array formed by taking every other term of each row of Pascal's triangle. A34839

11-gonal (or hendecagonal) numbers: a(n) = n*(9·n-7)/2. A51682