Properties of the Number 13785

Thirteen Thousand Seven Hundred Eighty-Five

Basics

Value: 13784 → 13785 → 13786

Parity: odd

Prime: No

Previous Prime: 13781

Next Prime: 13789

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 919

Divisors: 1, 3, 5, 15, 919, 2757, 4595, 13785

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010111011001

Octal: 32731

Duodecimal: 7B89

Hexadecimal: 35d9

Square: 190026225

Square Root: 117.40953964648699

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

a(n) = a(n-3) + a(n-4), with a(0)=1, a(1)=a(2)=0, a(3)=1. A17817

a(n) = ∑_k=0..n C(n-k,3k). A3522

Number of compositions of n such that two adjacent parts are not equal modulo 2. A62200

T(n,k) = Number of length n 0..k arrays with each partial sum starting from the beginning no more than two standard deviations from its mean. A244832

Number of unordered pairs of partitions of n with no common parts. A260669

a(n) = ∑_{k=0..floor(n/2)} binomial(2·n-k,3·k). A392400

T(n,k)=Number of black square subarrays of (n+1)X(k+1) binary arrays with no element equal to a strict majority of its diagonal and antidiagonal neighbors, with upper left element zero. A231070

E.g.f. A(x) satisfies A(x) = exp(x·A(x)²) / (1 - x·A(x)²). A380723

Numbers n such that 6ⁿ+5 is prime. A145106

Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 601", based on the 5-celled von Neumann neighborhood. A283220