Properties of the Number 71552

Seventy-One Thousand Five Hundred Fifty-Two

Basics

Value: 71551 → 71552 → 71553

Parity: even

Prime: No

Previous Prime: 71551

Next Prime: 71563

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ⁷ × 13 × 43

Divisors: 1, 2, 4, 8, 13, 16, 26, 32, 43, 52

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10001011110000000

Octal: 213600

Duodecimal: 354A8

Hexadecimal: 11780

Square: 5119688704

Square Root: 267.4920559568078

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

Numbers whose prime indices and prime signature have the same mean. A359903

a(n) = Fibonacci(n)*A000143(n) for n>=1 with a(0)=1, where A000143(n) is the number of ways of writing n as a sum of 8 squares. A205964

Number of ways to place n nonattacking composite pieces queen + rider[1,5] on an n X n chessboard. A189875

Indices of records in A245203 (= least k>=0 such that 4n+3 is the mean of primes 4(n-k)+3 and 4(n+k)+3). A245205

E.g.f.: exp(∑_k>=1 binomial(2·k,k) * x^k). A370326

a(0) = 1, a(1) = 0; a(n) = a(n-2) + ∑_k=0..n-1 k·a(k) * a(n-1-k). A385287

a(n) = (10n)!/n!¹⁰. A71552

G.f. F₁(x) satisfies: x = ∑_n>=1 F_n(x)ⁿ, where the n-th iteration of the g.f. is defined by: F_n(x) = F_n-1( F₁(x) ) with F₀(x) = x. A171780

Number of nX3 0..2 arrays with no element equal to exactly two horizontal and vertical neighbors, with new values 0..2 introduced in row major order. A241126