Properties of the Number 15670

Fifteen Thousand Six Hundred Seventy

Basics

Value: 15669 → 15670 → 15671

Parity: even

Prime: No

Previous Prime: 15667

Next Prime: 15671

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 × 5 × 1567

Divisors: 1, 2, 5, 10, 1567, 3134, 7835, 15670

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11110100110110

Octal: 36466

Duodecimal: 909A

Hexadecimal: 3d36

Square: 245548900

Square Root: 125.17987058628876

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(1)=1, a(n)=a(n-1)+n⁰ if n odd, a(n)=a(n-1)+ n⁴ if n is even. A140142

Where records occur in A169784. A175437

Number of 3 X n 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 1 1 and 1 0 1 vertically. A207270

Engel expansion of ∑_k>=0 1/(7 + k)^k. A63190

Records in A181159. A306332

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 1 1 and 1 0 1 vertically. A207269

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 1 1 and 1 1 0 vertically. A207488

a(n) = n⁸ - n⁴ + 1. A60893

Number of permutations of 1..n with displacements restricted to {-6,-5,-4,0,1,2,3}. A189599

Inverse of 1661st cyclotomic polynomial. A15670