Properties of the Number 37216

Thirty-Seven Thousand Two Hundred Sixteen

Basics

Value: 37215 → 37216 → 37217

Parity: even

Prime: No

Previous Prime: 37201

Next Prime: 37217

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ⁵ × 1163

Divisors: 1, 2, 4, 8, 16, 32, 1163, 2326, 4652, 9304

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001000101100000

Octal: 110540

Duodecimal: 19654

Hexadecimal: 9160

Square: 1385030656

Square Root: 192.9144888285999

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 of Dyck paths of semilength n with no DUUU's starting at level 1. A135337

Number of conjugacy classes in the group GL(3,Z_n). A86768

Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n having k DUUU's starting at level 1. A135331

Number of even Ulam numbers <= 10ⁿ. A382861

Expansion of -x*(x⁶+3·x⁵+2·x⁴-2·x³-4·x²+4·x-1)/((1-x)²*(1-2·x-x²)²). A111109

Expansion of ( ∑_k>=0 k·q^k² )⁴. A37216

a(n) = 14·binomial(n,8). A88625

a(n) = binomial(n+4,4) * binomial(n+8,4). A104475