Properties of the Number 6342

Six Thousand Three Hundred Forty-Two

Basics

Value: 6341 → 6342 → 6343

Parity: even

Prime: No

Previous Prime: 6337

Next Prime: 6343

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 7 × 151

Divisors: 1, 2, 3, 6, 7, 14, 21, 42, 151, 302

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100011000110

Octal: 14306

Duodecimal: 3806

Hexadecimal: 18c6

Square: 40220964

Square Root: 79.63667496825819

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 multisets of exactly n nonempty binary words with a total of 2n letters such that no word has a majority of 0's. A292549

G.f. satisfies A(x) = 1 + x*(1 + x·A(x)²)⁶. A137968

Squarefree kernel of A255334: a(n) = A007947(A255334(n)). A255424

T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no element 1 greater than its north, west, southeast or southwest neighbor modulo n and the upper left element equal to 0. A266632

Numbers with exactly 4 distinct palindromic prime factors. A46402

a(n) = 15·n² - 13·n. A263226

G.f. A(x) satisfies A(x)² = A(x²) + 2·A(x³). A377255

a(n) = ∑_{k=0..floor(n/2)} binomial(n,k) * binomial(n+k-1,n-2·k). A389325

Antidiagonal sums of square array A093541, in which column (k+1) equals the self-convolution of row k. A93542

Array read by antidiagonals: T(n,k) is the number of unlabeled posets with n elements together with a function rk mapping each element to a rank between 1 and k such that whenever v covers w in the poset then rk(v) = rk(w) + 1. A361952