Properties of the Number 71264

Seventy-One Thousand Two Hundred Sixty-Four

Basics

Value: 71263 → 71264 → 71265

Parity: even

Prime: No

Previous Prime: 71263

Next Prime: 71287

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ⁵ × 17 × 131

Divisors: 1, 2, 4, 8, 16, 17, 32, 34, 68, 131

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10001011001100000

Octal: 213140

Duodecimal: 352A8

Hexadecimal: 11660

Square: 5078557696

Square Root: 266.95317941541737

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

Let p(n) be the n-th prime congruent to 1 mod 4. Then a(n) = the least m for which m²+1=p(n)*k² has a solution. A94048

Row sums in A083175. A83175

Numerators of continued fraction convergents to sqrt(353). A41668

Numbers n such that n² + 1 has two distinct prime divisors less than n. A263876

Number of nonisomorphic ordered triples of involutions on a (2n)-set that pairwise commute. A362904

Number of n X 3 arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random 0..1 n X 3 array. A218079

A255475(2ⁿ-1). A255476

Nonunitary near-perfect numbers: k such that nusigma(k) = k + d where d is a nonunitary divisor of k. A362969

E.g.f. is 1/E(x) where E(x) is e.g.f. for [1,0,1,1,2,3,5,8,...] with o.g.f. (1-x)/(1-x-x²). A57596

T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random 0..1 nXk array. A218084