Properties of the Number 57409

Fifty-Seven Thousand Four Hundred Nine

Basics

Value: 57408 → 57409 → 57410

Parity: odd

Prime: No

Previous Prime: 57397

Next Prime: 57413

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 11 × 17 × 307

Divisors: 1, 11, 17, 187, 307, 3377, 5219, 57409

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1110000001000001

Octal: 160101

Duodecimal: 29281

Hexadecimal: e041

Square: 3295793281

Square Root: 239.6017529151237

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

Absolute value of coefficient of X² in the characteristic polynomial of the n-th power of the matrix M = {{1,1,1,1,1}, {1,0,0,0,0}, {0,1,0,0,0}, {0,0,1,0,0}, {0,0,0,1,0}}. A123126

Absolute value of determinant of n X n matrix where the element a(i,j) = if i + j > n then 2*(i + j -n) - 1, else 2*(n + 1 - i - j). A83877

The number of ordered ways to achieve a score of n in American football. A160993

a(0)=0, a(1)=1, a(n) = min{3 a(k) + (3^n-k-1)/2, k=0..(n-1)} for n>=2. A259653

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 513", based on the 5-celled von Neumann neighborhood. A272703

G.f. A(x) satisfies A(x) = 1/A(-x·A(x)) such that [x^2·n-1] A(x)ⁿ = 0 for n >= 2, with A(0) = A'(0) = 1. A377250

Number of self-avoiding polygons of area n with any number of (self-avoiding polygon) holes on square lattice (not allowing rotations). A57409