Properties of the Number 52903

Fifty-Two Thousand Nine Hundred Three

Basics

Value: 52902 → 52903 → 52904

Parity: odd

Prime: Yes

Previous Prime: 52901

Next Prime: 52919

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 52903

Divisors: 1, 52903

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100111010100111

Octal: 147247

Duodecimal: 26747

Hexadecimal: cea7

Square: 2798727409

Square Root: 230.00652164666982

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

Primes of the form k² + 3. A49423

Numbers that are the sum of ten fifth powers in three or more ways. A345635

Numbers that are the sum of ten fifth powers in exactly three ways. A346348

Number of binary words of length n with exactly 3 (possibly overlapping) occurrences of the subword given by the binary expansion of n. A236232

Primes arising in A073946. A113943

Duplicate of A049423. A121825

Odd numbers n such that 2n is a term in A247665. A249556

a(n) is the number of digits in the concatenation of a(0) to a(n-1) that are equal to the corresponding digit in the concatenation of all integers >= 0, with a(0) = 0. A331162

Expansion of (1-x³)/(1-2x-x³+x⁴). A52903