Properties of the Number 15184

Fifteen Thousand One Hundred Eighty-Four

Basics

Value: 15183 → 15184 → 15185

Parity: even

Prime: No

Previous Prime: 15173

Next Prime: 15187

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ⁴ × 13 × 73

Divisors: 1, 2, 4, 8, 13, 16, 26, 52, 73, 104

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11101101010000

Octal: 35520

Duodecimal: 8954

Hexadecimal: 3b50

Square: 230553856

Square Root: 123.2233744059949

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

The Franel number a(n) = ∑_{k = 0..n} binomial(n,k)³. A172

Multiply a(n-1) by 2 and drop all 0's. A242350

Square array A(n, k) = ∑_j=0..n binomial(n,j)^k, n >= 0, k >= 0, read by antidiagonals. A309010

Inverse Moebius transform of the shifted tetrahedral numbers. A116963

Number of partitions p of n such that (number of numbers of the form 5k + 2 in p) is a part of p. A241551

Square array A(n,k) = (n!)³ [xⁿ] hypergeom([], [1, 1], z)^k read by antidiagonals. A287698

Array read by antidiagonals: Solutions to Schmidt's Problem. A94424

T(n,k) = Number of n X k nonnegative integer arrays with each row and column an ascent sequence (interior element no greater than one plus up-steps preceding it). A202549

5-untouchable numbers. A284187

Square array read by antidiagonals: T(n,k) is the number of derangements of a multiset comprising n repeats of a k-element set. A372307