Properties of the Number 71776

Seventy-One Thousand Seven Hundred Seventy-Six

Basics

Value: 71775 → 71776 → 71777

Parity: even

Prime: No

Previous Prime: 71761

Next Prime: 71777

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 ⁵ × 2243

Divisors: 1, 2, 4, 8, 16, 32, 2243, 4486, 8972, 17944

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001100001100000

Octal: 214140

Duodecimal: 35654

Hexadecimal: 11860

Square: 5151794176

Square Root: 267.9104327942456

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

Number of compositions (ordered partitions) of n where no pair of adjacent part sizes is relatively prime. A178470

Number of permutations (p(1),p(2),...,p(n)) of (1,2,...,n) such that p(i)-i is in {-2,-1,4} for all i=1,...,n. A376743

The second Zagreb index of the Aztec diamond AZ(n) (see the Ramanes et al. reference, Theorem 2.2). A292345

Expansion of 1/(1-4·x-x³). A52927

Number of (n+2) X (2+2) 0..3 arrays with every 3 X 3 subblock row and diagonal sum equal to 0 3 5 6 or 7 and every 3 X 3 column and antidiagonal sum not equal to 0 3 5 6 or 7. A252378

One half of numbers representable in at least two different ways as sums of four nonvanishing cubes. See A259060 for these numbers and their representations. A261241

a(n) = 2·n³ - 3·n + 1. A377663

Related to Pisano periods: n such that the period of Fibonacci numbers mod n equals 3*(n+2). A71776