Properties of the Number 13856

Thirteen Thousand Eight Hundred Fifty-Six

Basics

Value: 13855 → 13856 → 13857

Parity: even

Prime: No

Previous Prime: 13841

Next Prime: 13859

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ⁵ × 433

Divisors: 1, 2, 4, 8, 16, 32, 433, 866, 1732, 3464

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11011000100000

Octal: 33040

Duodecimal: 8028

Hexadecimal: 3620

Square: 191988736

Square Root: 117.71151175649729

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 separable integer partitions of n without an alternating permutation. A345166

T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having index change (+-,+-) 0,2 1,1 or 1,0. A263973

Rounded total surface area of a regular icosahedron with edge length n. A71398

G.f. A(x,y) satisfies: A(x,y) = x·y + A(x,x·y)², with A(0,y) = 1. A275670

G.f.: 1 = ∑_n>=0 a(n)*xⁿ*(1-x)/(1+x)^2ⁿ. A137160

Coefficient of q² in ν(n), where ν(0)=1, ν(1)=b and, for n>=2, ν(n)=b*ν(n-1)+λ*(1+q+q²+...+q^n-2)*ν(n-2) with (b,λ)=(2,2). A74359

Expansion of ∏_k>=1 ((1 + x^k) * (1 + 3·x^k)). A266822

Number of (w,x,y,z) with all terms in {0,...,n} and |w-x|=max{w,x,y,z}-min{w,x,y,z}. A212755

a(n) = 1·t(n) + 2·t(n-1) + ... + k·t(n+1-k), where k=floor((n+1)/2) and t is A000201 (lower Wythoff sequence). A23866

Indices where A138554 requires only squares < floor(sqrt(n))². A138555