Properties of the Number 66576

Sixty-Six Thousand Five Hundred Seventy-Six

Basics

Value: 66575 → 66576 → 66577

Parity: even

Prime: No

Previous Prime: 66571

Next Prime: 66587

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ⁴ × 3 × 19 × 73

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 19, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000010000010000

Octal: 202020

Duodecimal: 32640

Hexadecimal: 10410

Square: 4432363776

Square Root: 258.0232547659222

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 T(n,k) of permutations p of [n] such that the up-down signature of 0,p has nonnegative partial sums with a maximal value of k; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A258829

Base-2 digits are, in order, the first n terms of the periodic sequence with initial period 1,0,0,0,0,0. A195904

Base-4 digits are, in order, the first n terms of the periodic sequence with initial period 1,0,0. A33140

a(n) = n²*sigma₆(n). A386777

Number of alternating polynomials of degree 3n in GF(2)[X], n>0. A165912

Column 2 of triangle A258829. A259213

Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 43. A31721

Sum of products of n-bit numbers with their n-bit reverse. A327961

Numbers k such that 115·2^k+1 is prime. A32407

Composite Euclid numbers: numbers of the form p# + 1, where p# denotes the primorial of the prime p. A66576