Properties of the Number 18132

Eighteen Thousand One Hundred Thirty-Two

Basics

Value: 18131 → 18132 → 18133

Parity: even

Prime: No

Previous Prime: 18131

Next Prime: 18133

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 1511

Divisors: 1, 2, 3, 4, 6, 12, 1511, 3022, 4533, 6044

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 100011011010100

Octal: 43324

Duodecimal: A5B0

Hexadecimal: 46d4

Square: 328769424

Square Root: 134.65511501610328

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

Number T(n,k) of Dyck paths of semilength n having exactly k (possibly overlapping) occurrences of the consecutive steps UDUUUDDDUD (with U=(1,1), D=(1,-1)); triangle T(n,k), n>=0, 0<=k<=max(0,floor((n-1)/4)), read by rows. A243881

Number of numbers in row n of the array at A243851. A243853

The array of A063179 read by diagonals in direction of creation. A63180

The array of A063179 read by diagonals in the 'up' direction. A63181

Number of Dyck paths of semilength n having exactly 2 (possibly overlapping) occurrences of the consecutive steps UDUUUDDDUD (with U=(1,1), D=(1,-1)). A243872

Expansion of e.g.f. 1/(1 - x)^log(1 - x). A308346

Coordination sequence for octagonal tiling is a(n) + A103908(n)*sqrt(2). A103909

a(n) = ∑_k=0..n F(k+1)²*F(n-k+1)² where F = Fibonacci numbers (A000045). A136429

Length of period of continued fraction expansion of sqrt(3·2ⁿ). A294226

(n,4,1) difference families over Z_n. A10893