Properties of the Number 71760

Seventy-One Thousand Seven Hundred Sixty

Basics

Value: 71759 → 71760 → 71761

Parity: even

Prime: No

Previous Prime: 71741

Next Prime: 71761

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ⁴ × 3 × 5 × 13 × 23

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 13

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10001100001010000

Octal: 214120

Duodecimal: 35640

Hexadecimal: 11850

Square: 5149497600

Square Root: 267.8805704040515

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

a(n) = floor(n*(n-1)*(n-2)*(n-3)/5). A11915

a(n) = ∑_{k=0..floor(n/2)} binomial(k,2*(n-2·k)). A392250

Numbers with prime factorization p·q*r·s*t⁴ (where p, q, r, s, t are distinct primes). A190110

Integer areas A of integer-sided cyclic quadrilaterals such that the circumradius is of prime length. A230136

Number of compositions of 5·n-3 into parts 4 and 5. A369851

a(n) = A000203(n) * A024916(n). A143238

a(n) = 4·a(n-1) - 6·a(n-2) + 4·a(n-3) - a(n-4) + a(n-5) with a(1) = a(2) = a(3) = 0, a(4) = 1, and a(5) = 3. A385142

Triangle read by rows: row n gives coefficients of expansion of polynomial p(k,n) in powers of k, defined by p(k, 0) = 1, p(k, 1) = 1+2·k; for n>1, p(k,n) = If[Mod[n, 2] == 0, (1 + 2·k)*p(k, n - 1) + n·Binomial[n + 1, n - 1]*k*(k + 1)*p(k, n - 2), (1 + 2·k)*(1 + 3*(p(k, n - 1) - 1))]. A167883

Numbers k such that R_k+2 + 5·10^k is prime, where R_k = 11...1 is the repunit (A002275) of length k. A256931

G.f. A(x) satisfies the condition that both G(x) = A(x/G(x)) and H(x) = A(x·H(x)) have zeros for every other coefficient after initial terms; g.f. of dual sequence A157306 satisfies the same condition. A157303