Properties of the Number 37687

Thirty-Seven Thousand Six Hundred Eighty-Seven

Basics

Value: 37686 → 37687 → 37688

Parity: odd

Prime: No

Previous Prime: 37663

Next Prime: 37691

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 13 ² × 223

Divisors: 1, 13, 169, 223, 2899, 37687

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 1001001100110111

Octal: 111467

Duodecimal: 19987

Hexadecimal: 9337

Square: 1420309969

Square Root: 194.13139879988503

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 compositions (ordered partitions) of n into distinct odd parts. A32021

Numbers m that generate rotationally symmetrical XOR-triangles T(m) that have central triangles of zeros. A334769

Number of partitions of prime(n) into n primes. A259254

Positive numbers y such that y² is of the form x²+(x+223)² with integer x. A159809

a(n) = smallest m that generates a rotationally symmetrical XOR-triangle T(m) with a central triangle of zeros with side length n. A334771

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 581", based on the 5-celled von Neumann neighborhood. A273071

Recip transform of 2*(1 + x³ + x⁵ + x⁶)-1/(1-x). A49168

a(n) = (A070939(A334769(n)) - A334770(n))/3. A334796

Decimal expansion of a(n) is given by the first n terms of the periodic sequence with initial period 1,0,3,2. A37687