Properties of the Number 35966

Thirty-Five Thousand Nine Hundred Sixty-Six

Basics

Value: 35965 → 35966 → 35967

Parity: even

Prime: No

Previous Prime: 35963

Next Prime: 35969

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 × 7 ² × 367

Divisors: 1, 2, 7, 14, 49, 98, 367, 734, 2569, 5138

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000110001111110

Octal: 106176

Duodecimal: 18992

Hexadecimal: 8c7e

Square: 1293553156

Square Root: 189.64704057801694

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 of vertices in a complete bipartite graph where the vertices in the two parts are placed on opposite sides of a parabola at integer·coordinates |x| = 1, 2, ...n. A392425

a(n) = ∑_k=0..3 f(n+k)² where f=A130519. A238604

Number of partitions of n into parts not of the form 17k, 17k+5 or 17k-5. Also number of partitions with at most 4 parts of size 1 and differences between parts at distance 7 are greater than 1. A35966

Integers k equal to the sum over A003415(t) mod t, for some steps, starting with t = k and then using the result to feed the next calculation. A379898