Properties of the Number 2053

Two Thousand Fifty-Three

Basics

Value: 2052 → 2053 → 2054

Parity: odd

Prime: Yes

Previous Prime: 2039

Next Prime: 2063

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2053

Divisors: 1, 2053

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100000000101

Octal: 4005

Duodecimal: 1231

Hexadecimal: 805

Square: 4214809

Square Root: 45.31004303683677

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

Centered 12-gonal numbers, or centered dodecagonal numbers: numbers of the form 6·k*(k-1) + 1. A3154

Primes p such that the decimal expansion of its base-9 conversion is also prime. A65727

Next prime after 2ⁿ. A14210

Concentric hexagonal numbers: floor(3·n²/2). A32528

The slowest increasing sequence of primes such that difference of successive terms is unique. A84758

Smallest prime >= 2ⁿ. A104080

Number of partitions of n such that if the length is k then k is not a part. A229816

Numbers that are the sum of 9 positive 9th powers. A3398

Numbers that are the sum of 7 positive 10th powers. A4807

Numbers that are the sum of 6 positive 11th powers. A4817