Properties of the Number 12404

Twelve Thousand Four Hundred Four

Basics

Value: 12403 → 12404 → 12405

Parity: even

Prime: No

Previous Prime: 12401

Next Prime: 12409

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 7 × 443

Divisors: 1, 2, 4, 7, 14, 28, 443, 886, 1772, 3101

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11000001110100

Octal: 30164

Duodecimal: 7218

Hexadecimal: 3074

Square: 153859216

Square Root: 111.37324633860683

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

T(n,k)=Number of nXk 0..2 arrays with no element having a strict majority of its horizontal and antidiagonal neighbors equal to itself plus one mod 3, with upper left element zero (rock paper and scissors drawn positions). A231855

a(n) is the number of binary strings of length n such that no subsequence of length 4 contains 3 or more ones. A118647

Numbers that are the sum of nine fourth powers in nine or more ways. A345593

Numbers that are the sum of nine fourth powers in exactly nine ways. A345851

Coefficients in the expansion of C/B⁷, in Watson's notation of page 118. A160539

Number of partitions of n such that the absolute value of the difference between the number of odd parts and the number of even parts is <=1. A239835

a(n) = 4·n*(n² + 2)/3. A217873

L.g.f.: ∑_n=-oo..+oo (x - x^2·n-1)^2·n-1 / (2·n-1). A293129

Sum of the fourth largest parts in the partitions of n into 5 parts. A308824

a(n) = least m such that if r and s in {1/1, 1/3, 1/5, ..., 1/(2n-1)} satisfy r < s, then r < k/m < (k+3)/m < s for some integer k. A24844