Properties of the Number 87111

Eighty-Seven Thousand One Hundred Eleven

Basics

Value: 87110 → 87111 → 87112

Parity: odd

Prime: No

Previous Prime: 87107

Next Prime: 87119

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 9679

Divisors: 1, 3, 9, 9679, 29037, 87111

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101010001000111

Octal: 252107

Duodecimal: 424B3

Hexadecimal: 15447

Square: 7588326321

Square Root: 295.14572671817564

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

Expansion of (1-x)/(1 - x - x³ - 2·x⁴ + 2·x⁵). A52914

a(n)² is a triangular number: a(n) = 6·a(n-1) - a(n-2) with a(0)=0, a(1)=1. A1109

a(0) = 1, a(1) = 3; for n > 1, a(n) = 6·a(n-1) - a(n-2). A1541

This table shows the coefficients of combinatorial formulas needed for generating the sequential sums of p-th powers of binomial coefficients C(n,7). The p-th row (p>=1) contains a(i,p) for i=1 to 7·p-6, where a(i,p) satisfies ∑_i=1..n C(i+6,7)^p = 8·C(n+7,8) * ∑_i=1..7·p-6 a(i,p) * C(n-1,i-1)/(i+7). A87111