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Properties of the Number 5304

Five Thousand Three Hundred Four

Basics

Value: 5303 → 5304 → 5305

Parity: even

Prime: No

Previous Prime: 5303

Next Prime: 5309

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 3 × 3 × 13 × 17

Divisors: 1, 2, 3, 4, 6, 8, 12, 13, 17, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 1010010111000

Octal: 12270

Duodecimal: 30A0

Hexadecimal: 14b8

Square: 28132416

Square Root: 72.8285658241325

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

Number of partitions of n such that the successive differences of consecutive parts are nondecreasing. A240026
a(n) = 2·det(M(n; -1))/det(M(n; 0)), where M(n; m) is the n X n matrix with (i,j)-th element equal to 1/binomial(n + i + j + m, n). A7226
a(n) = n*(7·n - 1)/2. A22264
4 times hexagonal numbers: a(n) = 4·n*(2·n-1). A85250
Expansion of (1-4·x)3/2 in powers of x. A2421
a(n) = lcm(p-1, p+1) where p is the n-th prime. A84921
T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 3 5 6 or 8 and every 3X3 column and antidiagonal sum not equal to 0 3 5 6 or 8. A252615
Number of bracelets (turnover necklaces) of n beads of 2 colors, 5 of them black. A32279
T(n,k)=Number of nXk binary arrays without the pattern 0 0 1 antidiagonally or horizontally. A188992
T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4. A241435