Properties of the Number 8075

Eight Thousand Seventy-Five

Basics

Value: 8074 → 8075 → 8076

Parity: odd

Prime: No

Previous Prime: 8069

Next Prime: 8081

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 5 ² × 17 × 19

Divisors: 1, 5, 17, 19, 25, 85, 95, 323, 425, 475

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111110001011

Octal: 17613

Duodecimal: 480B

Hexadecimal: 1f8b

Square: 65205625

Square Root: 89.86100377805714

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) = 20·a(n-1) - 64·a(n-2) - 225 for n > 2; a(0) = 106, a(1) = 8075, a(2) = 114235. A166912

Odd interprimes divisible by 17. A124620

Odd interprimes divisible by 19. A126231

S₁₃ sequence in partition of integers > 1 described in A240521. A241025

Nonsquarefree "year numbers" (numbers n such that φ(n) = 2*φ(σ(n)): A137815). A137816

Numbers k such that there are exactly four biquadratefree powerful numbers (A338325) between k² and (k+1)². A338391

G.f. satisfies: A(x) = 1/(1 - x·A(x)³/(1 - x²*A(x)³/(1 - x³*A(x)³/(1 - x⁴*A(x)³/(1 - ...))))), a recursive continued fraction. A192730

a(n) = (12·n+1)*(12·n+11). A1538

Logarithm of triangular matrix A102220, which equals [2·I - A008459]^-1. A102222

Numerators of continued fraction transform of e; see Comments. A229595