Properties of the Number 31746

Thirty-One Thousand Seven Hundred Forty-Six

Basics

Value: 31745 → 31746 → 31747

Parity: even

Prime: No

Previous Prime: 31741

Next Prime: 31751

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 11 × 13 × 37

Divisors: 1, 2, 3, 6, 11, 13, 22, 26, 33, 37

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111110000000010

Octal: 76002

Duodecimal: 16456

Hexadecimal: 7c02

Square: 1007808516

Square Root: 178.1740721878467

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

Hexagonal pyramidal numbers, or greengrocer's numbers. A2412

Number of maximal antichains of subsets of {1..n}. A326358

a(n) = ∑_{k=0..floor(2·n/5)} binomial(k+2,2) * binomial(k,2·n-5·k). A392270

a(0) = 1, a(n) = 31·n² + 2 for n>0. A10020

Even hexagonal pyramidal numbers. A15226

Eighth column (r=7) of FS(5) staircase array A062985. A62990

a(n) is the least value of k such that k·n uses only the digit 2, or a(n) = -1 if no such multiple exists. A216485

Records in A224796. A224719

Number of permutations of [n] in which the length of every increasing run is 0 or 1 (mod 8). A322282

Minimal denominator among the fractions with n-digit numerator and n-digit denominator that best approximate π. A327361