Properties of the Number 71310

Seventy-One Thousand Three Hundred Ten

Basics

Value: 71309 → 71310 → 71311

Parity: even

Prime: No

Previous Prime: 71293

Next Prime: 71317

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 5 × 2377

Divisors: 1, 2, 3, 5, 6, 10, 15, 30, 2377, 4754

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001011010001110

Octal: 213216

Duodecimal: 35326

Hexadecimal: 1168e

Square: 5085116100

Square Root: 267.0393229470147

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 nXk arrays of occupancy after each element stays put or moves to some horizontal, diagonal or antidiagonal neighbor, with every occupancy equal to zero or two. A221728

Smallest number which requires n² steps in the 3x+1 problem. A66773

G.f.: [∑_n>=0 x^n*(n+1/2) * (1+x)ⁿ ]³. A182152

Number of nX4 arrays of occupancy after each element stays put or moves to some horizontal, diagonal or antidiagonal neighbor, with every occupancy equal to zero or two. A221727

a(n) = (1/4) * (number of n X n 0..11 matrices with MM' mod 12 = I). A71310