Properties of the Number 13842

Thirteen Thousand Eight Hundred Forty-Two

Basics

Value: 13841 → 13842 → 13843

Parity: even

Prime: No

Previous Prime: 13841

Next Prime: 13859

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 769

Divisors: 1, 2, 3, 6, 9, 18, 769, 1538, 2307, 4614

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11011000010010

Octal: 33022

Duodecimal: 8016

Hexadecimal: 3612

Square: 191600964

Square Root: 117.65202930676547

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

Numbers n that raised to the powers from 1 to k (with k>=1) are multiple of the sum of their digits (n raised to k+1 must not be a multiple). Case k=8. A135193

Coefficients of the '6th-order' mock θ function λ(q). A53272

Smallest number m such that σ(m) = A002110(n) where A002110(n) is the product of the first n primes. A153076

Consider the trajectory of n under the iteration of a map which sends·to 3x - σ(x) if this is >= 0; otherwise the iteration stops. The sequence gives values of n which eventually reach 0. A37159

Rectangular array: (row n) = b**c, where b(h) = -1 + 2^h, c(h) = b(n-1+h), n>=1, h>=1, and ** = convolution. A213747

Smallest sets of 6 consecutive abundant numbers in arithmetic progression. The initial abundant number is listed. A228963

a(n+1) = a(n) converted to base 10 from base 12. A55983

Number of (w,x,y,z) with all terms in {1,...,n} and 3w = x + y + z + n + 1. A212251

Smallest sets of 7 consecutive abundant numbers in arithmetic progression. The initial abundant number is listed. A228964

Number of edges in a hexagon when n internal hexagons are drawn between the 6n points that divide each side into n+1 equal parts. A357198