Properties of the Number 4095

Four Thousand Ninety-Five

Basics

Value: 4094 → 4095 → 4096

Parity: odd

Prime: No

Previous Prime: 4093

Next Prime: 4099

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 7 × 13

Divisors: 1, 3, 5, 7, 9, 13, 15, 21, 35, 39

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111111111111

Octal: 7777

Duodecimal: 2453

Hexadecimal: fff

Square: 16769025

Square Root: 63.99218702310463

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) = 2ⁿ - 1. (Sometimes called Mersenne numbers, although that name is usually reserved for A001348.) A225

Number of 2n-bead balanced binary necklaces of fundamental period 2n, equivalent to reversed complement; also Dirichlet convolution of b_n=2^n-1 with μ(n); also number of components of Mandelbrot set corresponding to Julia sets with an attractive n-cycle. A740

Second hexagonal numbers: a(n) = n*(2·n + 1). A14105

Numbers of the form 2^n-1*(2^n·m-1)/(2ⁿ-1), n >= 1, m >= 1. A272919

Odd abundant numbers (odd numbers m whose sum of divisors exceeds 2m). A5231

a(1) = 0; for n > 1, a(n) = A000203(A156552(n)). A323243

Permutation of nonnegative integers: a(1) = 0, a(2) = 1, a(2n) = 2·a(n), a(2n+1) = 1 + 2·a(A064989(2n+1)). A243071

a(2n) = 2·2ⁿ - 1, a(2n+1) = 3·2ⁿ - 1. A52955

a(n) = 4·n² - 1. A466

a(n) = 4ⁿ - 1. A24036