Properties of the Number 6579

Six Thousand Five Hundred Seventy-Nine

Basics

Value: 6578 → 6579 → 6580

Parity: odd

Prime: No

Previous Prime: 6577

Next Prime: 6581

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 17 × 43

Divisors: 1, 3, 9, 17, 43, 51, 129, 153, 387, 731

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100110110011

Octal: 14663

Duodecimal: 3983

Hexadecimal: 19b3

Square: 43283241

Square Root: 81.11103500757464

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

a(n) = C(n,1) + C(n,2) + C(n,3), or n*(n² + 5)/6. A4006

a(n) = (n³ + 2·n)/3. A6527

a(1) = a(2) = 1, a(3) = 4; thereafter a(n) = a(n-1) + a(n-3). A1609

a(n) = (2·n+1)*(4·n²+4·n+3)/3. A57813

Second 9-gonal (or nonagonal) numbers: a(n) = n*(7·n+5)/2. A179986

a(n) = 3·n² - n - 1. A144390

Number of 4-ary Lyndon words of length n over Z₄ with trace 0 and subtrace 3. A74405

Number of 4-ary Lyndon words of length n over Z₄ with trace 2 and subtrace 0. A74410

One third of product plus sum of three consecutive nonnegative integers; a(n)=(n+1)(n²+2n+3)/3. A167875

Logarithmic derivative of A112934 such that a(n)=(1/2)*A112934(n+1) for n>0, where A112934 equals the INVERT transform of double factorials A001147. A112935