Properties of the Number 71710

Seventy-One Thousand Seven Hundred Ten

Basics

Value: 71709 → 71710 → 71711

Parity: even

Prime: No

Previous Prime: 71707

Next Prime: 71711

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 × 5 × 71 × 101

Divisors: 1, 2, 5, 10, 71, 101, 142, 202, 355, 505

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001100000011110

Octal: 214036

Duodecimal: 355BA

Hexadecimal: 1181e

Square: 5142324100

Square Root: 267.787228971062

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

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with the difference of the upper and lower median value of each 2X2 subblock in lexicographically nondecreasing order rowwise and columnwise. A235573

a(n) = 12 + floor((1 + ∑_j=1..n-1 a(j))/4). A120169

Number of (n+1)X(2+1) 0..1 arrays with the difference of the upper and lower median value of each 2X2 subblock in lexicographically nondecreasing order rowwise and columnwise. A235567

Number of (n+1)X(6+1) 0..1 arrays with the difference of the upper and lower median value of each 2X2 subblock in lexicographically nondecreasing order rowwise and columnwise. A235571

Highly Wilsonian primes: smallest primes p such that w(p)=n where w(n) denote the number of nonnegative integers k such that k! = +1 or -1 (mod n). A71710