Properties of the Number 51324

Fifty-One Thousand Three Hundred Twenty-Four

Basics

Value: 51323 → 51324 → 51325

Parity: even

Prime: No

Previous Prime: 51307

Next Prime: 51329

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 7 × 13 × 47

Divisors: 1, 2, 3, 4, 6, 7, 12, 13, 14, 21

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100100001111100

Octal: 144174

Duodecimal: 25850

Hexadecimal: c87c

Square: 2634152976

Square Root: 226.54800815721157

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

G.f. A(x) satisfies 1/x = ∑_n=-oo..+oo A(x)ⁿ * (A(x)ⁿ + 2)ⁿ⁺¹. A379202

Fixed points of the function A260529(n) = concatenation of the positions of digits 9, 8,..., 0 in the decimal representation of n, using 1 for the rightmost digit etc., skipping digits which don't occur. A260275

Decimal encoding T(n,k) of the k-th non-averaging permutation of [n]; triangle T(n,k), n >= 0, k = 1..A003407(n), read by rows. A292523

Number of partitions of 3n with same number of parts == 1 (mod 3) and == 2 (mod 3). A35592

Measures of entanglement in 3-qbits. A129548

a(n) = n*(n+1)*(n+2)*(n+3)*(2·n²+6·n+7)/360. A259181

Number of lines through exactly 3 points of an n X n grid of points. A18810

Number of partitions of n with equal number of parts congruent to each of 1 and 2 (mod 3). A35536

Number of n X 6 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 1 1 and 1 1 1 vertically. A208778

Expansion of ∑_k>=1 prime(k)*x^prime(k)/(1 - x^prime(k)) * ∏_k>=1 1/(1 - x^prime(k)). A276560