Properties of the Number 23801

Twenty-Three Thousand Eight Hundred One

Basics

Value: 23800 → 23801 → 23802

Parity: odd

Prime: Yes

Previous Prime: 23789

Next Prime: 23813

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 23801

Divisors: 1, 23801

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101110011111001

Octal: 56371

Duodecimal: 11935

Hexadecimal: 5cf9

Square: 566487601

Square Root: 154.27572718998928

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 p such that 1 + product of primes up to p is prime. A5234

a(n) = ∑_k=1..n k*σ(k). A143128

Primes p for which the period of reciprocal = (p-1)/8. A56213

Centered 40-gonal numbers. A195317

Least prime in A031930 (lesser of 12-twins) whose distance to the next 12-twin is 2·n. A52355

Square array read by antidiagonals: T(n,k) = (k*(2·k+3)ⁿ + 1)/(k+1). A83075

E.g.f.: A(x,y) = (cosh(x)*cosh(y) + sinh(x) + sinh(y)) / (1 - sinh(x)*sinh(y)), where A(x,y) = ∑_n>=0 ∑_k>=0 T(n,k) * xⁿ*y^k/(n!*k!), as a square table of coefficients T(n,k) read by antidiagonals. A322190

Primes that become squares when prefixed with a 4. A167737

Septic artiads: primes p congruent to 1 mod 14 for which all solutions of the congruence x³ + x² - 2x - 1 == 0 (mod p) are 7th power residues. A270800

First subdiagonal of number array A083075. A83082