Properties of the Number 66179

Sixty-Six Thousand One Hundred Seventy-Nine

Basics

Value: 66178 → 66179 → 66180

Parity: odd

Prime: Yes

Previous Prime: 66173

Next Prime: 66191

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 66179

Divisors: 1, 66179

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000001010000011

Octal: 201203

Duodecimal: 3236B

Hexadecimal: 10283

Square: 4379660041

Square Root: 257.25279395956034

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

Residues of the Lucas - Lehmer primality test for M(17) = 131071. A129222

Primes equal to a heptagonal number plus 1. A285791

Primes that remain prime through 4 iterations of function f(x) = 9x + 2. A23324

G.f. satisfies: A(x) = ∑_n>=0 A(x)ⁿ * x^n² * (1 - x^2·n+1)/(1 - x). A199409

Let m = 5 and set M = {{0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1}, {-1, m, (m + 1), -m*(m + 1), -m, (m + 2)}}. Let v[0] = {0, 1, 1, 2, 3, 5}, v[n] = M.v[n - 1]. Then a = Abs[v[n][[1]]. A107451

Primes p such that (p-1)/2 and (p-3)/4 are also prime. A66179

a(n) = ∑_k=0..n ( binomial(n,k) - binomial(n,k-1) )⁴. A382434