Properties of the Number 18142

Eighteen Thousand One Hundred Forty-Two

Basics

Value: 18141 → 18142 → 18143

Parity: even

Prime: No

Previous Prime: 18133

Next Prime: 18143

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 × 47 × 193

Divisors: 1, 2, 47, 94, 193, 386, 9071, 18142

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100011011011110

Octal: 43336

Duodecimal: A5BA

Hexadecimal: 46de

Square: 329132164

Square Root: 134.69224179588073

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

a(n) is the number of ways to partition an n X n X n cube into 4 noncongruent cuboids. A384311

a(n) = A026626(2·n, n). A26627

a(n) = A026626(n, floor(n/2)). A26632

Number of ordered triples (w,x,y) with all terms in {1,...,n} and w²<x²+y². A211635

Numbers for which the cube of the sum of the digits is equal to the square of the product of their digits. A241846

a(n) is the permanent of the n X n matrix M(n) that is defined by M[i,j] = ceiling(i·j/3). A358161

Table T(n,k) counts the involutions of n with longest increasing contiguous subsequence of length k. A178249

Expansion of 1/(1 - ∑_j>=1 x^{∑_i=1..j prime(i})). A282906

a(n) is the sum of distinct sums of all subsets with two or more elements of {1, 2, ..., n}. A375764

Sum{T(i,n-i): i=0,1,...,n}, array T as in A047089. A47090