Properties of the Number 13855

Thirteen Thousand Eight Hundred Fifty-Five

Basics

Value: 13854 → 13855 → 13856

Parity: odd

Prime: No

Previous Prime: 13841

Next Prime: 13859

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 5 × 17 × 163

Divisors: 1, 5, 17, 85, 163, 815, 2771, 13855

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11011000011111

Octal: 33037

Duodecimal: 8027

Hexadecimal: 361f

Square: 191961025

Square Root: 117.70726400694224

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

Starts of runs of 3 consecutive numbers with the same total binary weight of their divisors (A093653). A338453

Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of the symmetric matrix A203003; by antidiagonals. A203004

G.f. satisfies A(x) = 1 + x·A(x)*(1 + x⁵*A(x)³). A365733

Denominators of continued fraction convergents to sqrt(844). A42629

Expansion of ∏_k>=1 (1 + x^k) * (1 + x^k²) * (1 + x^k³). A369575

Molien series of 4-dimensional representation of u.g.g.r. #8. A13978

Numbers k such that A144264(k) = A144264(k+1). A144359

Number of 2 X 2 matrices with all elements in {0,1,...,n} and determinant in {-1,0,1}. A209993

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 942", based on the 5-celled von Neumann neighborhood. A273797

Vinogradov's number J_3,2(n). A281391