Properties of the Number 35997

Thirty-Five Thousand Nine Hundred Ninety-Seven

Basics

Value: 35996 → 35997 → 35998

Parity: odd

Prime: No

Previous Prime: 35993

Next Prime: 35999

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 3 × 13 ² × 71

Divisors: 1, 3, 13, 39, 71, 169, 213, 507, 923, 2769

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1000110010011101

Octal: 106235

Duodecimal: 189B9

Hexadecimal: 8c9d

Square: 1295784009

Square Root: 189.72875375124352

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 partitions of n such that 2*(least part) < number of parts. A237758

Numbers k such that 216·k+108 is a term of A097703 and A007494 and A098240. A98241

a(n) = 3·a(n-1) - 5·a(n-2), with a(0)=0, a(1)=1. A190959

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 393", based on the 5-celled von Neumann neighborhood. A271604

Numbers k such that (56·10^k + 367)/9 is prime. A294231

Index of record values of A339082. A339173

Number of partitions of n into parts not of the form 23k, 23k+9 or 23k-9. Also number of partitions with at most 8 parts of size 1 and differences between parts at distance 10 are greater than 1. A35997

Array read by antidiagonals: Costs E[m,N] of m-ary Huffman trees of maximum height with N internal nodes (non-leaves) for minimizing absolutely ordered sequences of size n=2N+1; m > 1, N > 0. A98810