Properties of the Number 13173

Thirteen Thousand One Hundred Seventy-Three

Basics

Value: 13172 → 13173 → 13174

Parity: odd

Prime: No

Previous Prime: 13171

Next Prime: 13177

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 4391

Divisors: 1, 3, 4391, 13173

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001101110101

Octal: 31565

Duodecimal: 7759

Hexadecimal: 3375

Square: 173527929

Square Root: 114.7736903649961

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 A(n,k) of tilings of a k X k X n box using k·n bricks of shape k X 1 X 1; square array A(n,k), n>=0, k>=1, read by antidiagonals. A233308

Number of tilings of a 4 X 4 X n box using 4n bricks of shape 4 X 1 X 1. A233291

G.f. A(x) satisfies: A(x) = 1 / (1 - 2·x) + x * (1 - 2·x)⁴ * A(x)⁶. A349584

Number of partitions of 3 copies of n into distinct parts. A258281

Where A093316 first equals n. A93319

Rounded value of z(n)*prime(n), where z(n) = imaginary part of n-th nontrivial zero of the ζ function and prime(n) = n-th prime. A342756

Number of unlabeled endofunctions on n points whose self-referencing elements are mapped from another element. A381123

Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 76. A31574

Number of partitions satisfying (cn(0,5) <= cn(2,5) = cn(3,5) and cn(0,5) <= cn(1,5) and cn(0,5) <= cn(4,5)). A36807

Numbers n such that A002088(n) is a triangular number. A276645