Properties of the Number 75132

Seventy-Five Thousand One Hundred Thirty-Two

Basics

Value: 75131 → 75132 → 75133

Parity: even

Prime: No

Previous Prime: 75109

Next Prime: 75133

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 2087

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 36, 2087

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010010101111100

Octal: 222574

Duodecimal: 37590

Hexadecimal: 1257c

Square: 5644817424

Square Root: 274.10217073201005

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

n! times the average number of comparisons required by an insertion sort of n (distinct) elements. A159324

G.f.: exp( ∑_n>=1 σ(n)*A002203(n)*xⁿ/n ) where A002203 is the companion Pell numbers. A203534

Expansion of g.f. A(x) satisfying A(x) = 1 + 3·x*A(x)² - 2·x*A(-x)². A368635

a(0)=1; for n > 0, a(n)=sum(binomial(n,k)*binomial(n+k,k+1)*binomial(n+k+1,k),k=0..n)/n. A75132