Properties of the Number 18937

Eighteen Thousand Nine Hundred Thirty-Seven

Basics

Value: 18936 → 18937 → 18938

Parity: odd

Prime: No

Previous Prime: 18919

Next Prime: 18947

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 29 × 653

Divisors: 1, 29, 653, 18937

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100100111111001

Octal: 44771

Duodecimal: AB61

Hexadecimal: 49f9

Square: 358609969

Square Root: 137.6117727521886

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 preferential arrangements for the set partitions of the n-set [1,2,3,...,n]. A83355

Array read by antidiagonals of higher order Fubini numbers. A153278

a(n+1) = 1 + a( floor(n/1) ) + a( floor(n/2) ) + ... + a( floor(n/n) ). A3318

Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of e.g.f. 1/(1 - f^k(x)), where f(x) = exp(x) - 1. A363007

Numbers n such that the numerator of ∑_i=1..n (1/i²), in reduced form, is prime. A111354

Number of n X 2 binary arrays with every 1 having exactly one king-move neighbor equal to 1. A183435

Numbers k such that the continued fraction for sqrt(k) has period 93. A20432

Numbers whose base-5 representation contains exactly three 1's and three 2's. A45232

a(n) = 6 + floor((1 + ∑_j=1..n-1 a(j))/3). A120152

Number of arrays of -4..4 integers x(1..n) with every x(i) in a subsequence of length 1 or 2 with sum zero. A193644