Properties of the Number 18784

Eighteen Thousand Seven Hundred Eighty-Four

Basics

Value: 18783 → 18784 → 18785

Parity: even

Prime: No

Previous Prime: 18773

Next Prime: 18787

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 ⁵ × 587

Divisors: 1, 2, 4, 8, 16, 32, 587, 1174, 2348, 4696

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100100101100000

Octal: 44540

Duodecimal: AA54

Hexadecimal: 4960

Square: 352838656

Square Root: 137.05473359209452

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

E.g.f.: exp(4·x*G(x)³) / G(x)³ where G(x) = 1 + x·G(x)⁴ is the g.f. of A002293. A251574

Composites whose prime factorization in base 3 is an anagram of the number in base 3. A260047

Number (undirected) Hamiltonian paths in the 5 X n knight graph. A83386

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays colored with the sum of the maximum and minimum values of each 2X2 subblock. A236018

Number of (undirected) Hamiltonian paths on the 6 X n knight graph. A306281

Self-convolution 8th power equals A113668, where a(n) = n·A113668(n-1) for n>=1, with a(0)=1. A113674

Triangle version of the array w(N,L) of the average number of round trips of length L on Laguerre graphs L_N. A201198

Number of (undirected) Hamiltonian paths on the first n cells of the 6 X ceiling(n/6) knight graph. A389756

Number of 2Xn 0..1 arrays with every element equal to 0, 1, 2 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302323

Irregular triangle read by rows: row n consists of the coefficients in the expansion of the polynomial x*(x² - 2) + x*(((v - w)/2)ⁿ + ((v + w)/2)ⁿ), where v = 3 + 2·x and w = sqrt(5 + 4·x). A316659