Properties of the Number 8175

Eight Thousand One Hundred Seventy-Five

Basics

Value: 8174 → 8175 → 8176

Parity: odd

Prime: No

Previous Prime: 8171

Next Prime: 8179

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 ² × 109

Divisors: 1, 3, 5, 15, 25, 75, 109, 327, 545, 1635

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111111101111

Octal: 17757

Duodecimal: 4893

Hexadecimal: 1fef

Square: 66830625

Square Root: 90.41570660012562

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 numerical semigroups with Frobenius number n; that is, numerical semigroups for which the largest integer not belonging to them is n. A124506

Number of 3·n binary matrices without unit columns up to row and column permutations. A57524

Generalized Stirling number triangle of first kind read by rows: T(n, k) = [x^k] ∏_m=1..n (x - m - r), with r = 4. A49460

The ED3 array read by antidiagonals. A167572

3 times 11-gonal (or hendecagonal) numbers: a(n) = 3·n*(9·n-7)/2. A153783

Numbers y such that 19·y² + 81 is a square. A167709

Number of permutations of {1..n} with all distinct lengths of maximal runs (increasing by 1). A384891

Expansion of (1 - x - x⁴)/((1 - x - x⁴)² - 4·x⁵). A375282

Numbers n such that ((n-1)²+1)/2 and n²+1 and ((n+1)²+1)/2 are prime if n is even or (n-1)²+1 and (n²+1)/2 and (n+1)²+1 are prime if n is odd. A82612

Start with two vertices and draw a circle around each whose radius is the distance between the vertices. The sequence gives the number of regions constructed after n iterations of drawing circles with this same radius around every new vertex created from all circles' intersections. A374337