Properties of the Number 31901

Thirty-One Thousand Nine Hundred One

Basics

Value: 31900 → 31901 → 31902

Parity: odd

Prime: No

Previous Prime: 31891

Next Prime: 31907

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 19 × 23 × 73

Divisors: 1, 19, 23, 73, 437, 1387, 1679, 31901

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111110010011101

Octal: 76235

Duodecimal: 16565

Hexadecimal: 7c9d

Square: 1017673801

Square Root: 178.60851043553328

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 plane regions after drawing (in general position) a convex n-gon and all its diagonals. A27927

Starting index of a string of exactly 4 consecutive equal digits in decimal expansion of π. A49520

G.f.: -1 + ∏_k>=1 (1 + prime(k)*x^prime(k)). A2099

Starting index of a string of 4 or more consecutive equal digits in decimal expansion of π. A49516

Analog of A006684 for the 5x+1 problem (cf. A133419). A133423

a(n) = n⁴/6 - 2·n³/3 - n²/6 + 5·n/3 + 1. A299198

Pentagonal numbers which are products of three distinct primes. A381650

Number of 2 X n 0..2 arrays with antidiagonals unimodal and rows and diagonals nondecreasing. A224000

Number of nondecreasing -n..n vectors of length 5 whose dot product with some other -n..n vector equals 5. A226344

Floor(compositorial(n) / n!), that is, floor(A036691(n) / A000142(n)). A233447