Properties of the Number 18746

Eighteen Thousand Seven Hundred Forty-Six

Basics

Value: 18745 → 18746 → 18747

Parity: even

Prime: No

Previous Prime: 18743

Next Prime: 18749

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 × 7 × 13 × 103

Divisors: 1, 2, 7, 13, 14, 26, 91, 103, 182, 206

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100100100111010

Octal: 44472

Duodecimal: AA22

Hexadecimal: 493a

Square: 351412516

Square Root: 136.91603266235842

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 ways to place 2 nonattacking wazirs on an n X n board. A172225

Expansion of ∏_k>=2 (1 + x^k)/(1 - x^k). A300415

Triangle T(n,k) read by rows: coefficients of polynomials P_n(t) defined in Formula section. . A286798

Dirichlet g.f.: ∏_k>=2 1 / (1 - k^-s)^binomial(k+5,6). A344206

Partial sums of icosahedral numbers (A006564). A302560

Number of 5-gonal compositions of n into positive parts. A69983

Total volume of all rectangular prisms with dimensions r X s X t where r, s and t are the smallest, middle and largest parts in each partition of n into 3 parts. A307684

Erroneous version of A140763. A159579

Number of binary strings of length n with equal numbers of 00000 and 11011 substrings. A164190

Number of (w,x,y) with all terms in {0,...,n} and w ≠ max(|w-x|, |x-y|). A213501