Properties of the Number 15705

Fifteen Thousand Seven Hundred Five

Basics

Value: 15704 → 15705 → 15706

Parity: odd

Prime: No

Previous Prime: 15683

Next Prime: 15727

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 349

Divisors: 1, 3, 5, 9, 15, 45, 349, 1047, 1745, 3141

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11110101011001

Octal: 36531

Duodecimal: 9109

Hexadecimal: 3d59

Square: 246647025

Square Root: 125.31959144523253

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

Smallest number at distance 2n from nearest prime. A51728

Smallest number at distance n from nearest prime. A51652

Lonely numbers: distance to closest prime sets a new record. A51650

Triangle read by rows: Take a pentagon with all diagonals drawn, as in A331929. Then T(n,k) = number of k-sided polygons in that figure for k = 3, 4, ..., n+5. A331939

Smallest k such that both k-n and k+n are primes and there are no primes between them. A87378

a(n) is the smallest number m, such that m+n is the next prime and m-n is the previous prime. A282690

Midpoints of record gaps between primes: a(n) = (A000101(n) + A002386(n))/2 for n > 1. A354604

Expansion of g.f. A(x) = G( x*(1 + 3·x)*G(x)² )^1/3 = G( x²*(1 + 5·x)*G(x)³ )^1/5, where G(x) is the g.f. of A370533. A370534

a(n) is the smallest number for which the prime distance A051699 is equal to n. A77019

Numbers n for which the numbers 6n+1, 3n+2, 6n+7 are all odd composite squarefree numbers, but none are semiprimes. A263510