Properties of the Number 8142

Eight Thousand One Hundred Forty-Two

Basics

Value: 8141 → 8142 → 8143

Parity: even

Prime: No

Previous Prime: 8123

Next Prime: 8147

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 23 × 59

Divisors: 1, 2, 3, 6, 23, 46, 59, 69, 118, 138

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111111001110

Octal: 17716

Duodecimal: 4866

Hexadecimal: 1fce

Square: 66292164

Square Root: 90.23303164584463

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

Square array A(n,k), n >= 1, k >= 1, read by antidiagonals, where A(n,k) is the number of permutations of n copies of 1..k introduced in order 1..k with no element equal to another within a distance of 1. A322013

T(n,k)=Number of length n+4 0..k arrays with every five consecutive terms having the maximum of some two terms equal to the minimum of the remaining three terms. A254698

Number of permutations of n copies of 1..3 introduced in order 1..3 with no element equal to another within a distance of 1. A190917

Number of ways to write n as an ordered sum of 8 primes. A340964

Expansion of 1/(1 - ∑_k>=1 k!*x^k*(k+1/2) / ∏_j=1..k (1 - x^j)). A307068

Numbers k such that σ(k+1) divides σ(k), where σ(k) is the sum of positive divisors of k. A58073

Number of permutations of 6 copies of 1..n introduced in order 1..n with no element equal to another within a distance of 1. A190835

G.f.: ∑_n>=0 xⁿ * (xⁿ⁺¹ + i)ⁿ / (1 + i·xⁿ⁺¹)ⁿ⁺¹. A324300

Number A(n,k) of initially rising meander words, where each letter of the cyclic k-ary alphabet occurs n times; square array A(n,k), n>=0, k>=0, read by antidiagonals. A209349

Smallest sum of n consecutive odd primes which is a multiple of n. A132810