Properties of the Number 71152

Seventy-One Thousand One Hundred Fifty-Two

Basics

Value: 71151 → 71152 → 71153

Parity: even

Prime: No

Previous Prime: 71147

Next Prime: 71153

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ⁴ × 4447

Divisors: 1, 2, 4, 8, 16, 4447, 8894, 17788, 35576, 71152

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10001010111110000

Octal: 212760

Duodecimal: 35214

Hexadecimal: 115f0

Square: 5062607104

Square Root: 266.74332231566734

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 binary arrays without the pattern 0 0 diagonally or vertically. A188706

Number of nX6 binary arrays without the pattern 0 0 diagonally or vertically. A188703

Number of 4 X n binary arrays without the pattern 0 0 diagonally or vertically. A188708

Augmentation of the triangle given by p(n,k)=(3+(-1)^k)/2 for 0<=k<=n. See Comments. A193631

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 525", based on the 5-celled von Neumann neighborhood. A272740

Number of nX3 0..1 arrays with every element unequal to 1, 2, 4, 6, 7 or 8 king-move adjacent elements, with upper left element zero. A316752

E.g.f. A(x) satisfies: [x^n-1] A(x)^n³ = [xⁿ] A(x)^n³ for n>=1. A296172

Łukasiewicz words for the rooted plane binary trees (interpretation d in Stanley's exercise 19) with the last leaf implicit, i.e., these words are given without the last trailing zero, except for the null tree which is encoded as 0. A71152