Properties of the Number 18546

Eighteen Thousand Five Hundred Forty-Six

Basics

Value: 18545 → 18546 → 18547

Parity: even

Prime: No

Previous Prime: 18541

Next Prime: 18553

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 11 × 281

Divisors: 1, 2, 3, 6, 11, 22, 33, 66, 281, 562

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100100001110010

Octal: 44162

Duodecimal: A896

Hexadecimal: 4872

Square: 343954116

Square Root: 136.1836994650975

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

Array read by antidiagonals: T(m,n) = number of m X n matrices M with entries {0,1,2} that have M_1,1=0, M_m,n=2, are such that the rows and columns are monotonic without jumps of 2, and satisfy M_(i+1),(j+1) = M_i,j + (0 or 1). A323846

Number of asymmetric rooted Greg trees. A52301

Numbers k such that k and 2·k, taken together are pandigital. A115922

Numbers k such that k and 5·k, taken together, are pandigital. A115925

a(n) = [xⁿ] (∑_k=0..n k!*x^k)/(∑_k=0..n k!*(-x)^k). A303565

Number of series-reduced planted trees with n leaves of 2 colors and no symmetries. A31148

a(n) = round(n*φ¹⁴), where φ is the golden ratio, A001622. A4949

Integers n > 7059 such that the 'Reverse and Add!' trajectory of n joins the trajectory of 7059. A63058

Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of the symmetric matrix A202871; by antidiagonals. A202872

Number of symmetrically unique Dyck paths of semilength 2n and height n. A291885