Properties of the Number 8130

Eight Thousand One Hundred Thirty

Basics

Value: 8129 → 8130 → 8131

Parity: even

Prime: No

Previous Prime: 8123

Next Prime: 8147

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 5 × 271

Divisors: 1, 2, 3, 5, 6, 10, 15, 30, 271, 542

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111111000010

Octal: 17702

Duodecimal: 4856

Hexadecimal: 1fc2

Square: 66096900

Square Root: 90.1665126307988

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

Square array, read by antidiagonals, where row n equals the coordination sequence of B_n lattice, for n >= 0. A108998

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 1 3 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 1 3 6 or 7. A252305

Numbers divisible by prime(d) for each digit d in their base-9 representation, none of which may be zero. A256879

a(n)² is the least square base-n doublet (base-n representation is the concatenation of 2 identical strings). A20339

a(n) is the total number of points (both boundary and interior points) in the n-th figure shown in A255011 (meaning the figure with 4n points on the perimeter), where the interior points are counted with multiplicity. A334698

Numbers m such that the largest digit in the decimal expansion of 1/m is 3. A350814

a(n) = 9·n² + n. A154517

Coordination sequence for root lattice B₅. A22147

Number of Fibonacci binary words of length n having no 0110 subword. A Fibonacci binary word is a binary word having no 00 subword. A130137

G.f.: 1/(1 - x/(1 - x³/(1 - x⁶/(1 - x¹⁰/(1 - x¹⁵/(1 - x²¹/(1 -...- x^n*(n+1/2)/(1 -...))))))), a continued fraction. A206740