Properties of the Number 66380

Sixty-Six Thousand Three Hundred Eighty

Basics

Value: 66379 → 66380 → 66381

Parity: even

Prime: No

Previous Prime: 66377

Next Prime: 66383

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 5 × 3319

Divisors: 1, 2, 4, 5, 10, 20, 3319, 6638, 13276, 16595

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 10000001101001100

Octal: 201514

Duodecimal: 324B8

Hexadecimal: 1034c

Square: 4406304400

Square Root: 257.64316408552355

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 arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor, without move-in move-out straight through or left turns. A221817

Expansion of (ψ(-x³) / f(x))² in powers of·where ψ(), f() are Ramanujan θ functions. A261369

Numbers k such that k and k² use only the digits 0, 3, 4, 6 and 8. A136931

Number of 2 X n arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor, without move-in move-out straight through or left turns. A221818

a(n) is the number of ways to split [n] = {1,2,...,n} into two (possibly empty) complementary intervals {1,2,...,i} and {i+1,i+2,...,n} and then, if both intervals are nonempty, select 2 nonempty blocks/cells (i.e., subintervals) from each of them, or if one of the intervals is empty, select 2 nonempty blocks/cells from the nonempty interval. A353232

a(n) is the least k such that (k·prime(n)#)² + 1, ((k+1)*prime(n)#)² + 1 and ((k+2)*prime(n)#)² + 1 are 3 primes, where prime(n)# is the n-th primorial. A98765

a(n) = ∑_k=0..n binomial(3·n,k). A66380

Number of (unlabeled) 7-paths with n vertices. A345207