Properties of the Number 6345

Six Thousand Three Hundred Forty-Five

Basics

Value: 6344 → 6345 → 6346

Parity: odd

Prime: No

Previous Prime: 6343

Next Prime: 6353

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 5 × 47

Divisors: 1, 3, 5, 9, 15, 27, 45, 47, 135, 141

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100011001001

Octal: 14311

Duodecimal: 3809

Hexadecimal: 18c9

Square: 40259025

Square Root: 79.65550828411052

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 compositions of n with equal differences up to sign. A325557

a(n) = 3·n² + 6·n. A67725

a(n) = sum of absolute values of coefficients of (1+x-3x²)ⁿ. A84615

Expansion of g.f.: exp( ∑_n>=1 σ(5·n)*xⁿ/n ). A182821

20-gonal (or icosagonal) numbers: a(n) = n*(9·n-8). A51872

Square array T(n,d) read by antidiagonals: number of structurally-different guillotine partitions of a d-dimensional box in R^d by n hyperplanes. A103209

Composite numbers k that divide 3^k - 2^k - 1, excluding powers of 2, 3 and 7. A127073

Position of first appearance of n in the run-lengths (differing by 0) of the run-lengths (differing by 2) of the odd primes. A373825

a(n) = (1/n)*∑_i=0..n-1 C(n,i)*C(n,i+1)*4ⁱ*5^n-i, a(0) = 1. A133305

Row 5 of A277710: Positions of 5's in A264977; positions of 10's in A277330. A277715