Properties of the Number 8145

Eight Thousand One Hundred Forty-Five

Basics

Value: 8144 → 8145 → 8146

Parity: odd

Prime: No

Previous Prime: 8123

Next Prime: 8147

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 181

Divisors: 1, 3, 5, 9, 15, 45, 181, 543, 905, 1629

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111111010001

Octal: 17721

Duodecimal: 4869

Hexadecimal: 1fd1

Square: 66341025

Square Root: 90.24965373894794

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) = n*(4·n+1). A7742

Number of compositions into sums of cubes. A23358

Numbers k such that p(k), p(k)+6, p(k)+12, p(k)+18 are consecutive primes, where p(k) denotes k-th prime. A90832

Sum of the quadratic residues of prime(n). A76409

Nearest integer to (n/2)⁴. A11863

Let F(x) = 1 + x + 4x² + 10x³ + ... = g.f. for A000293 (solid partitions) and expand (1-x)(1-x²)(1-x³)...*F(x) in powers of x. A2836

a(n) = floor((n + 1/2)⁴). A219086

Start with a single square; at n-th generation add a square at each expandable vertex; a(n) is the sum of all label values at n-th generation. (See comment for construction rules.) A247618

Sum of the quadratic nonresidues of prime(n). A125615

Numbers n such that p(n),p(n)+6,p(n)+12,p(n)+18 are consecutive primes and p(n)=6·k+1 for some k, where p(n) denotes n-th prime. A90838