Properties of the Number 71712

Seventy-One Thousand Seven Hundred Twelve

Basics

Value: 71711 → 71712 → 71713

Parity: even

Prime: No

Previous Prime: 71711

Next Prime: 71713

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ⁵ × 3 ³ × 83

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10001100000100000

Octal: 214040

Duodecimal: 35600

Hexadecimal: 11820

Square: 5142610944

Square Root: 267.79096325305676

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

Numbers k such that k divides the (left) concatenation of all numbers <= k written in base 25 (most significant digit on right and removing all least significant zeros before concatenation). A29542

T(n,k) = 1/20 of the number of (n+1) X (k+1) 0..4 arrays with every 2 X 2 subblock strictly increasing clockwise or counterclockwise with one decrease. A183719

a(n) = ∑_{k=0..floor(n/3)} 2^k * 3^n-3·k * binomial(k,n-3·k)². A387479

1/20 of the number of (n+1) X 4 0..4 arrays with every 2 X 2 subblock strictly increasing clockwise or counterclockwise with one decrease. A183713

1/20 of the number of (n+1) X 8 0..4 arrays with every 2 X 2 subblock strictly increasing clockwise or counterclockwise with one decrease. A183717

σ(n) is an additive inverse of n modulo φ(n). A235989

Members of A014574 with sum of prime factors (with multiplicity) also in A014574. A349455

Multiplicity of highest weight (or singular) vectors associated with character chi₁₂₂ of Monster module. A34510

The 23-step cycle reached for any initial value k less than 100000, after iterations of sopf(8x+1), where sopf(n) denote the sum of the prime factors of n (sopf(12) = 2+2+3 = 7). A71712