Properties of the Number 37009

Thirty-Seven Thousand Nine

Basics

Value: 37008 → 37009 → 37010

Parity: odd

Prime: No

Previous Prime: 37003

Next Prime: 37013

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 7 × 17 × 311

Divisors: 1, 7, 17, 119, 311, 2177, 5287, 37009

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000010010001

Octal: 110221

Duodecimal: 19501

Hexadecimal: 9091

Square: 1369666081

Square Root: 192.3772335802758

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

Partial sums of A299255. A299261

First term of the n-th differences of the powers of primes. Inverse zero-based binomial transform of A000961. A377054

Diagonal sums of number array A082046. A82047

Expansion of ∏_k>=0 (1-x^4·k+1)^4·k+1. A285070

Expansion of ∏_k>=0 (1 + x^4·k+1)^4·k+1. A285288

Number of partitions of n such that (greatest part) > (multiplicity of least part). A240184

Total number of parts of multiplicity 5 in all partitions of n. A222705

Expansion of x*(1+2·x+8·x²+4·x³+3·x⁴) / ( (1+x)²*(x-1)⁴ ). A178947

Consider an n X n board with a knight's path, not necessarily closed, that visits every square exactly once; number the squares [ 1..n² ] along the path; a(n) = maximal number of prime numbered squares that can be attacked by a queen. A37009