Properties of the Number 13784

Thirteen Thousand Seven Hundred Eighty-Four

Basics

Value: 13783 → 13784 → 13785

Parity: even

Prime: No

Previous Prime: 13781

Next Prime: 13789

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ³ × 1723

Divisors: 1, 2, 4, 8, 1723, 3446, 6892, 13784

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010111011000

Octal: 32730

Duodecimal: 7B88

Hexadecimal: 35d8

Square: 189998656

Square Root: 117.40528097151338

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

Expansion of 1/(1 - x - x² + x³ - x⁷ + x⁹ - x¹¹). A147663

a(n) = 2·a(n-1) + 10·a(n-2), a(0)=1, a(1)=1. A133294

Number of compositions of n into parts 3,4 where both parts are always present. A245487

Number of ways writing n² as a sum of four squares: a(n) = A000118(n²). A267326

a(n) = 2·a(n-1) + 10·a(n-2), with a(0) = 1, a(1) = 12. A83101

Number of (w,x,y,z) with all terms in {1,...,n} and 3w=x+y+z+n. A212247

Total number of 1's in the binary expansion of parts in all partitions of n into distinct parts. A347060

McKay-Thompson series of class 34a for the Monster group. A58639

Expansion of 1/((1 - x³ - x⁴)*(1 + x)). A175790

Number of ordered triples (w,x,y) with all terms in {-n,...-1,1,...,n} and w²>x²+y². A211631