Properties of the Number 14781

Fourteen Thousand Seven Hundred Eighty-One

Basics

Value: 14780 → 14781 → 14782

Parity: odd

Prime: No

Previous Prime: 14779

Next Prime: 14783

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 13 × 379

Divisors: 1, 3, 13, 39, 379, 1137, 4927, 14781

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11100110111101

Octal: 34675

Duodecimal: 8679

Hexadecimal: 39bd

Square: 218477961

Square Root: 121.57713600837947

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

T(n,k) = number of (n+1) X (k+1) 0..2 arrays with the number of clockwise edge increases in 2 X 2 subblocks nondecreasing, and counterclockwise edge increases nonincreasing, rightwards and downwards. A206542

a(n) = ∑_{k=0..floor(n/2)} Stirling2(n-k,k) * 3^k. A97342

G.f. is the cube of the g.f. of A006950. A273226

Number of (n+1) X 3 0..2 arrays with the number of clockwise edge increases in 2 X 2 subblocks nondecreasing, and counterclockwise edge increases nonincreasing, rightwards and downwards. A206536

Number of (n+1) X 4 0..2 arrays with the number of clockwise edge increases in 2 X 2 subblocks nondecreasing, and counterclockwise edge increases nonincreasing, rightwards and downwards. A206537

Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 80. A31578

Number of partitions of n with equal nonzero number of parts congruent to each of 0 and 2 (mod 4). A35547

Number of acyclic digraphs (or DAGs) with n labeled nodes. A3024

Seidel's triangle, read by rows. A14781

G.f. A(x) satisfies A(x) = 1/A(-x·A(x)) such that [x^2·n-1] A(x)ⁿ = 0 for n >= 2, with A(0) = A'(0) = 1. A377250