Properties of the Number 66637

Sixty-Six Thousand Six Hundred Thirty-Seven

Basics

Value: 66636 → 66637 → 66638

Parity: odd

Prime: No

Previous Prime: 66629

Next Prime: 66643

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 37 × 1801

Divisors: 1, 37, 1801, 66637

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000010001001101

Octal: 202115

Duodecimal: 32691

Hexadecimal: 1044d

Square: 4440489769

Square Root: 258.14143410154054

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) = ((n+1)ⁿ + (n-1)ⁿ)/2. A62024

6th binomial transform of (1,0,1,0,1,.....), A059841. A81188

Square number array read by antidiagonals. A84061

a(n) is the denominator of the relativistic sum of n velocities of 1/n, in units where the speed of light is 1. A348132

a(n) = ∑_k=1..n (-1)^k-1 * binomial(k+3,4) * floor(n/k). A366939

Numbers z such that x² + y⁶ = z² (with positive integers·and y) and gcd(x, y, z) = 1. A293691

Array read by ascending antidiagonals: A(n, k) = n!*[xⁿ] Li(-k, 1 - exp(-4·x))/(4·sinh(x)), where Li(n, z) is the polylogarithm function. A345394

Sum of terms of even index in the binomial decomposition of n^n-1. A345632

Total number of elements in all factorizations of n with all factors > 1. A66637

a(n) is the numerator of the relativistic sum of n velocities of 1/n, in units where the speed of light is 1. A348131