Properties of the Number 37531

Thirty-Seven Thousand Five Hundred Thirty-One

Basics

Value: 37530 → 37531 → 37532

Parity: odd

Prime: No

Previous Prime: 37529

Next Prime: 37537

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 13 × 2887

Divisors: 1, 13, 2887, 37531

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001001010011011

Octal: 111233

Duodecimal: 19877

Hexadecimal: 929b

Square: 1408575961

Square Root: 193.72919243108407

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

Triangle read by rows: T(n,w) is the number of n-step self avoiding walks on a 3D cubic lattice confined inside a tube of cross section 2w X 2w where the walk starts at the center of the tube's side. A337401

a(n) = ∑_{i=1..n, j=1..n, gcd(i,j)=1} i. A333297

a(n) = T(3n,n), where T is the array defined in A026082. A26090

Revert transform of 2·x*(1 - x + x⁶)-x/(1+x). A49182

Triangle read by rows: T(n,w) is the number of n-step self avoiding walks on a 3D cubic lattice confined between two infinite horizontal planes a distance 2w apart and an orthogonal plane on the y-z axes, where the walk starts at the middle point between the planes on the y-z plane. A338127

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 2 or 3 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A317741

Number of 5 X n binary arrays with rows and columns lexicographically nondecreasing and column sums nonincreasing. A266472

Base 6 digits are, in order, the first n terms of the periodic sequence with initial period 1,1,2. A37531