Properties of the Number 13853

Thirteen Thousand Eight Hundred Fifty-Three

Basics

Value: 13852 → 13853 → 13854

Parity: odd

Prime: No

Previous Prime: 13841

Next Prime: 13859

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 7 × 1979

Divisors: 1, 7, 1979, 13853

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11011000011101

Octal: 33035

Duodecimal: 8025

Hexadecimal: 361d

Square: 191905609

Square Root: 117.69876804792818

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

Triangle P, read by rows, such that P² transforms column k of P into column k+1 of P, so that column k of P equals column 0 of P^2·k+1, where P² denotes the matrix square of P. A113340

Numbers k such that prime(k+3)-(k+3)*τ(k+3) = prime(k-3)-(k-3)*τ(k-3) where τ(k) = A000005(k) is the number of divisors of k. A67355

Number of integer partitions of n without a nonempty initial consecutive subsequence summing to n/2. A362558

Column 3 of triangle A113340, also equals column 0 of A113340⁷. A113343

Number of integer partitions of 2n without a nonempty initial consecutive subsequence summing to n. A362051

a(n) = ∑_k=1..n k·floor(n/k)³. A350108

Number of Dyck paths of semilength n such that the number of peaks in each level is a Fibonacci number. A288388

a(0) = 1, a(n) = 19·n² + 2 for n>0. A10009

Triangle, read by rows, given by the product Q²*P^-1, where the triangular matrices involved are P = A113340 and Q = A113350. A113369

Number of n X 2 0..3 arrays with no element equal to one plus the sum of elements to its left or zero plus the sum of elements above it or zero plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4. A240756