Properties of the Number 6705

Six Thousand Seven Hundred Five

Basics

Value: 6704 → 6705 → 6706

Parity: odd

Prime: No

Previous Prime: 6703

Next Prime: 6709

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 149

Divisors: 1, 3, 5, 9, 15, 45, 149, 447, 745, 1341

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1101000110001

Octal: 15061

Duodecimal: 3A69

Hexadecimal: 1a31

Square: 44957025

Square Root: 81.88406438373708

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

Triangle T(n,k) represents the coefficients of (x⁹*d/dx)ⁿ, where n=1,2,3,...;generalization of Stirling numbers of second kind A008277, Lah-numbers A008297. A223511

a(n) = n*(3·n+14). A140679

O.g.f. A(x) satisfies: A(x) = 1 + Integral (x/A(x)⁵)' / (x/A(x)⁹)' dx. A338163

Number of distinct values of ∑_i=0..n x(i)*binomial(n,i), where the x(i) have values in 0..4. A205539

Irregular triangle read by rows T(n,k) (n>=1, 0<=k<=n(n-1)/2) giving the total number of connected components in all subgraphs (V,E') with |E'|=k of the complete labeled graph K_n=(V,E). A125205

Triangular array T(n,k) (n>=1, 0<=k<=n(n-1)/2) giving the total number of connected components in all subgraphs obtained from the complete labeled graph K_n by removing k edges. A125206

Numbers of undirected cycles in the complete tripartite graph K_n,n,n. A234616

Average of terms in n-th row of A077316. A77319

a(n) = 3·n*(5·n-1)/2. A167469

Numerators of continued fraction convergents to sqrt(223). A41416