Properties of the Number 36009

Thirty-Six Thousand Nine

Basics

Value: 36008 → 36009 → 36010

Parity: odd

Prime: No

Previous Prime: 36007

Next Prime: 36011

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 4001

Divisors: 1, 3, 9, 4001, 12003, 36009

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000110010101001

Octal: 106251

Duodecimal: 18A09

Hexadecimal: 8ca9

Square: 1296648081

Square Root: 189.76037521042164

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

E.g.f.: A(x) = exp( ∑_n>=1 x^n*(n+1/2) / (n*(n+1)/2) ). A193374

Number of non-isomorphic connected multiset partitions of weight n into singletons or strict pairs. A368727

Number of trees on n nodes with 3 forbidden limbs of size 4, 5 and 6. A14278

Number of n X 5 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 1 0 vertically. A207108

Number of n X 2 (0,1,2) arrays of permanents of 2 X 2 subblocks of some (n+1) X 3 binary array with rows and columns of the latter in lexicographically nondecreasing order. A227021

Number of partitions satisfying cn(1,5) <= cn(0,5) + cn(2,5) + cn(3,5) and cn(4,5) <= cn(0,5) + cn(2,5) + cn(3,5). A39870

Fourier coefficients of the modular form (1/t_6a³) * (1-12·sqrt(-3)/t_6a)^3/2 * F_6a¹⁸. A341573

Number of genus 3 partitions of the n-set. A370237

Number of partitions of n into parts not of the form 25k, 25k+10 or 25k-10. Also number of partitions with at most 9 parts of size 1 and differences between parts at distance 11 are greater than 1. A36009