Properties of the Number 8127

Eight Thousand One Hundred Twenty-Seven

Basics

Value: 8126 → 8127 → 8128

Parity: odd

Prime: No

Previous Prime: 8123

Next Prime: 8147

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 7 × 43

Divisors: 1, 3, 7, 9, 21, 27, 43, 63, 129, 189

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111110111111

Octal: 17677

Duodecimal: 4853

Hexadecimal: 1fbf

Square: 66048129

Square Root: 90.14987520790032

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 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

Triangle read by rows: T(n,k) = number of lattice paths from (0,0) to (n,k) that do not go below the line y=0 and consist of steps U=(1,1), D=(1,-1) and three types of steps H=(1,0) (left factors of 3-Motzkin steps). A91965

9 times the triangular numbers A000217. A27468

Numbers k such that k divides 4^k - 1. A14945

Numbers k such that k | 5^k + 1. A15951

Binary palindromic numbers with only one 0 bit. A129868

Matrix cube of triangle A113340. A113360

Greatest number (in decimal representation) with n nonprime substrings in binary representation (substrings with leading zeros are considered to be nonprime). A217112

a(n) = 8·n² + 14·n + 5. A181890

Number of primitive (aperiodic) palindromic structures of length n using a maximum of two different symbols. A56476