Properties of the Number 6706

Six Thousand Seven Hundred Six

Basics

Value: 6705 → 6706 → 6707

Parity: even

Prime: No

Previous Prime: 6703

Next Prime: 6709

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 × 7 × 479

Divisors: 1, 2, 7, 14, 479, 958, 3353, 6706

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101000110010

Octal: 15062

Duodecimal: 3A6A

Hexadecimal: 1a32

Square: 44970436

Square Root: 81.89017035029296

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

Square array T(n,k), n >= 1, k >= 1, read by antidiagonals, where T(n,k) is the number of Hamiltonian paths in an n X k grid starting at the lower left corner and finishing in the upper right corner. A333580

Number of representations of n as a sum of products of pairs of positive integers, n = ∑_k=1..m i_k*j_k with i_k<=j_k, i_k<=i_k+1, j_k<=j_k+1, i_k*j_k<=i_k+1*j_k+1. A212214

Number of Hamiltonian paths in a 5 X n grid starting at the lower left corner and finishing in the upper right corner. A14584

Third accumulation array, T, of the natural number array A000027, by antidiagonals. A185508

5-untouchable numbers. A284187

a(n) = ∑_{k=0..floor(n/3)} (n-2·k)!/(n-3·k)!. A357532

T(n,k) is the number of (n+1) X (k+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 2 (constant-stress 1 X 1 tilings). A234245

Number of partitions of n that do not contain 4 as a part. A27338

Numbers k such that k! is divisible by the square of (f+d)!² for d = 0, 1 and 2 (and possibly larger d), where f = floor(k/2). A56068

Sum over all partitions of n into distinct parts of the bitwise OR of the parts. A306924