Properties of the Number 13706

Thirteen Thousand Seven Hundred Six

Basics

Value: 13705 → 13706 → 13707

Parity: even

Prime: No

Previous Prime: 13697

Next Prime: 13709

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 7 × 11 × 89

Divisors: 1, 2, 7, 11, 14, 22, 77, 89, 154, 178

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010110001010

Octal: 32612

Duodecimal: 7B22

Hexadecimal: 358a

Square: 187854436

Square Root: 117.07262703125782

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

Number of (w,x,y) with all terms in {0,...,n} and |w-x| < |x-y| < |y-w|. A212964

Number of terms in 5th derivative of a function composed with itself n times. A22815

Sums of the products of n consecutive pairs of numbers. A135036

Numbers n such that if x=σ(n)-τ(n)-n then n=σ(x)-τ(x)-x. A238227

Expansion of (1/x) * Series_Reversion( x / (1 + x³ / (1 - x)⁵) ). A389252

a(n) = 686·n - 14. A157363

G.f. satisfies: A(x) = exp( ∑_n>=1 [∑_k=0..2·n A027907(n,k)² * x^k * A(x)^k]* xⁿ/n ), where A027907 is the triangle of trinomial coefficients. A199248

Consider any concatenation of the type n = concat(a,b). Sequence lists numbers that are the sum of the products of some of such couples a and b. A265737

G.f.: ∏_n>=1 (1 + Lucas(n)*xⁿ + (-1)ⁿ*x^2·n) where Lucas(n) = A000204(n). A203801

Digitally balanced numbers (A031443) whose squares and cubes are also digitally balanced. A353140