Properties of the Number 8107

Eight Thousand One Hundred Seven

Basics

Value: 8106 → 8107 → 8108

Parity: odd

Prime: No

Previous Prime: 8101

Next Prime: 8111

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 11 ² × 67

Divisors: 1, 11, 67, 121, 737, 8107

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111110101011

Octal: 17653

Duodecimal: 4837

Hexadecimal: 1fab

Square: 65723449

Square Root: 90.03888049059695

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 of n-step self-avoiding walks on hexagonal lattice from (0,0) to (1,3). A5552

Sum of odd-indexed primes. A77131

Numbers k such that k divides the numerator of B(2k) (the Bernoulli numbers), but gcd(3k, 8^k+1) > 3. A70192

Expansion of ∏_k>=1 (1 + x^2·k+1)^k. A263149

Sum of parts that are visible in one of the three views of the shell model of partitions version "tree" with n shells. A194804

a(n) = floor(n*(n-1)*(n-2)/12). A11894

Denominators of continued fraction convergents to sqrt(951). A42841

Column 8 of triangle A055898. A55904

First of 3 consecutive numbers which are cubefree and not squarefree, i.e., numbers k such that {k, k+1, k+2} are in A067259. A71319

Number of squares in the interior of the square with vertices (n,0), (0,n), (-n,0) and (0,-n) in a square (x,y)-grid. A111746