Properties of the Number 6335

Six Thousand Three Hundred Thirty-Five

Basics

Value: 6334 → 6335 → 6336

Parity: odd

Prime: No

Previous Prime: 6329

Next Prime: 6337

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 5 × 7 × 181

Divisors: 1, 5, 7, 35, 181, 905, 1267, 6335

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100010111111

Octal: 14277

Duodecimal: 37BB

Hexadecimal: 18bf

Square: 40132225

Square Root: 79.59271323431561

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 k such that 2·3^k - 1 is prime. A3307

Triangle read by rows: row n is the first row of the matrix M[n]^n-1, where M[n] is the n X n tridiagonal matrix with main diagonal (2,3,3,...) and super- and subdiagonals (1,1,1,...). A124733

Table in which the g.f. of row n, R(n,x), satisfies ∑_k=-oo..+oo (x^k - n·R(n,x))^k = 1 - (n-2)*∑_k>=1 x^k², for n >= 1, as read by antidiagonals. A370030

Expansion of g.f. A(x) satisfying ∑_n=-oo..+oo (xⁿ - 6·A(x))ⁿ = 1 - 4*∑_n>=1 x^n². A370036

Number of integer partitions of n whose parts are all equal or whose distinct parts are pairwise coprime. A304712

Related to enumeration of edge-rooted catafusenes. A39919

First member of the Diophantine pair (m, k) that satisfies 8*(m² + m) = k² + k; a(n) = m. A336623

Triangle T(n, k) = T(n-1, k) + T(n-1, k-1) + (n² +n -1)*T(n-2, k-1), read by rows. A154233

Integers of the form 8k+7 that can be written as a sum of four distinct 'almost consecutive' squares. A243577

Integers of the form 8k+7 that can be written as a sum of four distinct squares of the form m, m+2, m+4, m+5, where m == 1 (mod 4). A243579