Properties of the Number 36670

Thirty-Six Thousand Six Hundred Seventy

Basics

Value: 36669 → 36670 → 36671

Parity: even

Prime: No

Previous Prime: 36653

Next Prime: 36671

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 5 × 19 × 193

Divisors: 1, 2, 5, 10, 19, 38, 95, 190, 193, 386

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000111100111110

Octal: 107476

Duodecimal: 1927A

Hexadecimal: 8f3e

Square: 1344688900

Square Root: 191.49412523625887

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 of n in which the smallest part is equal to the number of parts. A98133

Row 3 of array in A047666. A47667

a(n) is the sum, over all overpartitions of n, of the overlined parts. A335666

Number of partitions of n such that 3*(least part) <= greatest part. A363211

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 0), (0, -1, 1), (1, 0, -1), (1, 1, 0)}. A149266

Number of independent generators of degree n of the algebra of Free quasi-symmetric functions (or Malvenuto-Reutenauer algebra of permutations) as a dendriform dialgebra (i.e., number of totally primitive elements). A122827

Number of nX3 0..3 arrays with values 0..3 introduced in row major order and each element equal to one or two horizontal and vertical neighbors. A199144

G.f.: A(x) = x·cycle_index(S5, B(x)-1), where B(x) is g.f. for A000598. A36670