Properties of the Number 13782

Thirteen Thousand Seven Hundred Eighty-Two

Basics

Value: 13781 → 13782 → 13783

Parity: even

Prime: No

Previous Prime: 13781

Next Prime: 13789

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 2297

Divisors: 1, 2, 3, 6, 2297, 4594, 6891, 13782

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010111010110

Octal: 32726

Duodecimal: 7B86

Hexadecimal: 35d6

Square: 189943524

Square Root: 117.39676315810415

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

Numbers k such that 2·3^k + 1 is prime. A3306

Numbers k such that k, k+1, k+2 and k+3 have the same number of divisors. A6601

Numbers k such that k through k+4 all have the same number of divisors. A49051

G.f. satisfies A(x) = (1 + x²)*(1 + x·A(x)²). A215576

Number of numbers with 6 decimal digits and sum of digits = n. A90581

a(n) = 1 + (the n-th term in sequence A_n, ignoring the offset), or a(n) = -1 if A_n has fewer than n terms. A102288

Total area of the shadows of the three views of the shell model of partitions, version "Tree", with n shells. A210980

Number of partitions where the number of 1's and 2's are equal. A174455

a(n) = 7 + floor((1 + ∑_j=1..n-1 a(j))/4). A120165

Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=3, r=3, I={0,1,2}. A79988