Properties of the Number 1023

One Thousand Twenty-Three

Basics

Value: 1022 → 1023 → 1024

Parity: odd

Prime: No

Previous Prime: 1021

Next Prime: 1031

Digit Sum: 6

Digital Root: 6

Palindrome: No

Factorization: 3 × 11 × 31

Divisors: 1, 3, 11, 31, 33, 93, 341, 1023

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111111111

Octal: 1777

Duodecimal: 713

Hexadecimal: 3ff

Square: 1046529

Square Root: 31.984371183438952

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

Triangle of Stirling numbers of the second kind, S2(n,k), n >= 1, 1 <= k <= n. A8277

a(n) = n*(n+2) = (n+1)² - 1. A5563

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

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

Number of partitions of n into pairwise relatively prime parts. A51424

Numbers of the form 2ⁱ - 2^j with i >= j. A23758

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

Number of 3-dimensional polyominoes (or polycubes) with n cells. A162