Properties of the Number 17913

Seventeen Thousand Nine Hundred Thirteen

Basics

Value: 17912 → 17913 → 17914

Parity: odd

Prime: No

Previous Prime: 17911

Next Prime: 17921

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 7 × 853

Divisors: 1, 3, 7, 21, 853, 2559, 5971, 17913

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100010111111001

Octal: 42771

Duodecimal: A449

Hexadecimal: 45f9

Square: 320875569

Square Root: 133.83945606584032

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

Triangle of generalized Stirling numbers of the first kind read by rows: T(n, k) = (-1)^n+k*∑_m=0..n Stirling1(n, m) * binomial(m, k), where Stirling1 is A048994. A94645

Number T(n,k) of permutations of [n] having k cycles of the form (c1, c2, ..., c_m) where c1 = min_i>=1 c_i and c_j = min_i>=j c_i or c_j = max_i>=j c_i; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A344855

Expansion of ∏_k>=1 (1 + x^3·k-1)^3·k-1 * (1 + x^3·k-2)^3·k-2. A262924

Expansion of e.g.f. (1 + y)^{1 + x}. A105793

L.g.f.: ∑_n>=1 xⁿ/n * ∑_k=0..n binomial(n², k*(n-k))*x^k = ∑_n>=1 a(n)*xⁿ/n. A207138

Bond percolation series for directed cubic lattice. A6804

a(n)=floor(3·n²*(2+sqrt(3))). A172526

Monotonic ordering of set S generated by these rules: if·and y are in S and x²-y²>0 then x²-y² is in S, and 2 and 3 are in S. A192648

Number of permutations of [n] having five cycles of the form (c1, c2, ..., c_m) where c1 = min_i>=1 c_i and c_j = min_i>=j c_i or c_j = max_i>=j c_i. A346320

Seventh column (m=6) of convolution triangle A059594(n,m). A59595