Properties of the Number 37124

Thirty-Seven Thousand One Hundred Twenty-Four

Basics

Value: 37123 → 37124 → 37125

Parity: even

Prime: No

Previous Prime: 37123

Next Prime: 37139

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 9281

Divisors: 1, 2, 4, 9281, 18562, 37124

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001000100000100

Octal: 110404

Duodecimal: 19598

Hexadecimal: 9104

Square: 1378191376

Square Root: 192.67589366602144

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

Expansion of f(-x, x²) / f(-x, -x³)³ in powers of·where f(, ) is Ramanujan's general θ function. A263993

Expansion of f(x, x²) / ψ(x)³ in powers of·where ψ(), f(, ) are Ramanujan θ functions. A258092

Intersection of A361073 and 2·A361611. A361215

Number of 8-step one space leftwards or up, two space rightwards or down asymmetric rook's tours on an n X n board summed over all starting positions. A187303

Number of (2+1) X (n+1) 0..1 arrays with every 2 X 2 subblock ne-sw antidiagonal difference nondecreasing horizontally and nw+se diagonal sum nondecreasing vertically. A258555

Indices of records of A070266. A353243

Numbers that are the sum of a positive square and a positive fifth power in more than one way. A363715

Number of nX3 1..2 arrays containing at least one of each value, all equal values connected, and rows considered as a single number in nondecreasing order. A166781

Numbers that contain only one nonzero digit. A37124

T(n,k)=Number of n-step one space leftwards or up, two space rightwards or down asymmetric rook's tours on a kXk board summed over all starting positions. A187296