Properties of the Number 15304

Fifteen Thousand Three Hundred Four

Basics

Value: 15303 → 15304 → 15305

Parity: even

Prime: No

Previous Prime: 15299

Next Prime: 15307

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 1913

Divisors: 1, 2, 4, 8, 1913, 3826, 7652, 15304

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11101111001000

Octal: 35710

Duodecimal: 8A34

Hexadecimal: 3bc8

Square: 234212416

Square Root: 123.70933675353692

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

Consider the base-3 Kaprekar map n->K(n) defined in A164993. Sequence gives numbers belonging to cycles, including fixed points. A164998

Consider the base-3 Kaprekar map n->K(n) defined in A164993. Sequence gives numbers belonging to cycles of length greater than 1. A165000

Smallest member of cycle corresponding to n-th term of A165009. A165010

Consider the base-3 Kaprekar map n->K(n) defined in A164993. Sequence gives least elements of each cycle, including fixed points. A165002

Consider the base-3 Kaprekar map n->K(n) defined in A164993. Sequence gives least elements of each cycle of length > 1. A165004

T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 3, 4 or 6 king-move adjacent elements, with upper left element zero. A298063

Number of ways 1/n can be expressed as the sum of five distinct unit fractions: 1/n = 1/p + 1/q + 1/r + 1/s + 1/t, with 0 < p < q < r < s < t. A347566

The number of five-term Egyptian fractions of rational numbers, x/y, 0 < x/y < 1, ordered as below. The sequence is the number of (p,q,r,s,t) such that x/y = 1/p + 1/q + 1/r + 1/s + 1/t where p, q, r, s, and t are integers with p < q < r < s < t. A349085

Number of -n..n arrays x(0..3) of 4 elements with sum zero and with zeroth through 3rd differences all nonzero. A200040

Number of (n+2) X 9 0..2 arrays with every 3 X 3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally exactly three ways, and new values 0..2 introduced in row major order. A204283