Properties of the Number 18032

Eighteen Thousand Thirty-Two

Basics

Value: 18031 → 18032 → 18033

Parity: even

Prime: No

Previous Prime: 18013

Next Prime: 18041

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ⁴ × 7 ² × 23

Divisors: 1, 2, 4, 7, 8, 14, 16, 23, 28, 46

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100011001110000

Octal: 43160

Duodecimal: A528

Hexadecimal: 4670

Square: 325153024

Square Root: 134.28328265275616

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

Nonnegative values·of solutions (x, y) to the Diophantine equation x²+(x+217)² = y². A198294

Numbers m such that the GCD of the x's that satisfy σ(x) = m is 3. A241648

a(n) = 23·n². A244632

Sum of proper divisors minus the number of proper divisors of Fibonacci number A000045(n). A152990

G.f.: A(q) = exp( ∑_n>=1 A002129(n) * 2·A006519(n) * qⁿ/n ). A161800

Partial sums of (A006899, prefixed by a 1). A170804

Coefficient of X² in expansion of (1 + n·X + n·X²)ⁿ. A92365

G.f. is Q₁(q) where q·Q₁(q⁴) is a series quadrisection of the g.f. of A161800. A161802

Numbers k such that 51·2^k+1 is prime. A32375

Number of nX6 0..1 arrays with every element equal to 0, 2, 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero. A299559