Properties of the Number 12706

Twelve Thousand Seven Hundred Six

Basics

Value: 12705 → 12706 → 12707

Parity: even

Prime: No

Previous Prime: 12703

Next Prime: 12713

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 × 6353

Divisors: 1, 2, 6353, 12706

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000110100010

Octal: 30642

Duodecimal: 742A

Hexadecimal: 31a2

Square: 161442436

Square Root: 112.72089424769483

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

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with nondecreasing min(x(i,j),x(i,j-1)) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction. A250797

Beach-Williams Pell numbers of type 2p (p prime). A212074

Expansion of ∏_{i>=1, j>=0} (1 + x^{i·6^j}). A373220

Least positive integer k such that prime(k·n)+2 = prime(i·n)*prime(j·n) for some 0 < i < j. A257926

Square array T(n,k), n >= 1, k >= 2, read by antidiagonals, where T(n,k) is the number of self-avoiding walks in the n X k grid graph which start at any of the n vertices on left side of the graph and terminate at any of the n vertices on the right side. A333509

Coefficient of xⁿ in the expansion of ((1+x) * (1+x⁴))ⁿ. A387125

Semiprimes which are the sum of three distinct positive cubes in two or more distinct ways. A180089

Row sums of A325433. A325434

Trajectory of 48 under the map x -> A289667(x). A290350

Number of (n+1) X (3+1) 0..1 arrays with nondecreasing min(x(i,j),x(i,j-1)) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction. A250792