Properties of the Number 2047

Two Thousand Forty-Seven

Basics

Value: 2046 → 2047 → 2048

Parity: odd

Prime: No

Previous Prime: 2039

Next Prime: 2053

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 23 × 89

Divisors: 1, 23, 89, 2047

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11111111111

Octal: 3777

Duodecimal: 1227

Hexadecimal: 7ff

Square: 4190209

Square Root: 45.24378410345447

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

Fermat pseudoprimes to base 2, also called Sarrus numbers or Poulet numbers. A1567

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

10-gonal (or decagonal) numbers: a(n) = n*(4·n-3). A1107

Mersenne numbers: 2^p - 1, where p is prime. A1348

Centered octahedral numbers (crystal ball sequence for cubic lattice). A1845

a(n) = 2·n² - 1. A56220

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

Generalized 10-gonal numbers: m*(4·m - 3) for m = 0, +- 1, +- 2, +- 3, ... A74377

Number of partitions of n into at least two distinct parts. A111133