Properties of the Number 36004

Thirty-Six Thousand Four

Basics

Value: 36003 → 36004 → 36005

Parity: even

Prime: No

Previous Prime: 35999

Next Prime: 36007

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 9001

Divisors: 1, 2, 4, 9001, 18002, 36004

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1000110010100100

Octal: 106244

Duodecimal: 18A04

Hexadecimal: 8ca4

Square: 1296288016

Square Root: 189.74720024284943

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

Sum of the largest parts of the partitions of n into 9 squarefree parts. A326532

Row sums of triangle A135858. A135859

Number of partitions of n into 8 parts such that every i-th smallest part (counted with multiplicity) is different from i. A244244

Number of 9-element subsets of [n] having a prime element sum. A320684

Becomes prime after exactly 8 iterations of f(x) = sum of prime factors of x. A47827

Number of (3+1)X(n+1) arrays of permutations of 0..n·4+3 with each element having directed index change -2,0 -1,0 0,-1 or 1,1. A264630

Number of nX4 0..1 arrays with every element equal to 0, 1 or 3 horizontally or vertically adjacent elements, with upper left element zero. A301537

Number of partitions of n into parts not of the form 25k, 25k+5 or 25k-5. Also number of partitions with at most 4 parts of size 1 and differences between parts at distance 11 are greater than 1. A36004