Properties of the Number 6729

Six Thousand Seven Hundred Twenty-Nine

Basics

Value: 6728 → 6729 → 6730

Parity: odd

Prime: No

Previous Prime: 6719

Next Prime: 6733

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 2243

Divisors: 1, 3, 2243, 6729

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101001001001

Octal: 15111

Duodecimal: 3A89

Hexadecimal: 1a49

Square: 45279441

Square Root: 82.03048213926333

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

Third row of Pascal-(1,3,1) array A081578. A81585

a(n) = ∑_k=1..n gcd(k, n)⁴. A343498

Matula-Goebel numbers of semi-lone-child-avoiding rooted identity trees. A331963

a(n) = T(n,n-4), array T as in A055818. A55821

a(n) is the ratio of the sum of the squares of the bends (curvatures) of the n-th generation of an Apollonian packing to the sum of the squares of the bends of the initial four-circle configuration. A137246

T(n,k)=Number of length-(n+1) 0..k arrays with new values introduced in sequential order, and with new repeated values introduced in sequential order, both starting with zero. A268327

Numbers n such that the decimal number concat(7,n) is a square. A273362

Numbers k such that the digits of k joined to the digits of 2k contain each of the digits from 1 to 9 once. A64160

Nested floor product of n and fractions (k+1)/k for all k>0 (mod 3), divided by 3. A73360

Averages of four consecutive odd squares. A173960