Properties of the Number 10187

Ten Thousand One Hundred Eighty-Seven

Basics

Value: 10186 → 10187 → 10188

Parity: odd

Prime: No

Previous Prime: 10181

Next Prime: 10193

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 61 × 167

Divisors: 1, 61, 167, 10187

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011111001011

Octal: 23713

Duodecimal: 5A8B

Hexadecimal: 27cb

Square: 103774969

Square Root: 100.93066927351666

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

a(n) = n³ - 4·n² + 6·n - 2. A188377

Triangle read by rows where T(n,k) is the number of unlabeled connected multigraphs with loops with n edges and k vertices. A322115

T(n,k) = 2·A046802(n,k) - A007318(n,k), triangle read by rows (0 <= k <= n). A168287

Sum over all partitions of n of the bitwise AND of the parts. A306901

G.f.: ( 1 - x² - sqrt( 1 - 2·x² - 4·x³ - 3·x⁴ ) ) / ( 2·x³ ). A50253

Row sums of triangle A132623. A208678

a(n) = ∑_i=0..n digsum₆(i)⁴, where digsum₆(i) = A053827(i). A231675

Total number of parts that are neither the smallest part nor the largest part in all partitions of n. A182977

The largest number m such that σ(m) = A007368(n), where A007368(n) = the smallest k such that σ(x) = k has exactly n solutions. A184394

Number of strict partitions of 2n + 1 having 1 more even part than odd, so that there is at least one ordering of the parts in which the even and odd parts alternate, and the first and last terms are even. A239873