Properties of the Number 23209

Twenty-Three Thousand Two Hundred Nine

Basics

Value: 23208 → 23209 → 23210

Parity: odd

Prime: Yes

Previous Prime: 23203

Next Prime: 23227

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 23209

Divisors: 1, 23209

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101101010101001

Octal: 55251

Duodecimal: 11521

Hexadecimal: 5aa9

Square: 538657681

Square Root: 152.34500319997372

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

Mersenne exponents: primes p such that 2^p - 1 is prime. Then 2^p - 1 is called a Mersenne prime. A43

Degrees of primitive irreducible trinomials: n such that 2ⁿ - 1 is a Mersenne prime and xⁿ + x^k + 1 is a primitive irreducible polynomial over GF(2) for some k with 0 < k < n. A1153

Decimal expansion of 2²³²⁰⁹ - 1, the 26th Mersenne prime A000668(26). A275983

Primes p = p_n+1 such that p_n + p_n+2 = 2·p_n+1 + 12. A95673

Numbers m such that 2^m + (-1)^m is prime. A285929

Mersenne prime indices that are not Gaussian primes. A112634

Zeros in Cald's sequence: positions k such that A006509(k) = 0. A112877

Primes p (A000043) such that 2^p-1 is prime (A000668) and congruent to 271 mod 6!. A145044

Odd Mersenne exponents. A174265

Numbers k such that exactly one of 2^k - 1 and 2^k + 1 is a prime. A174269