Properties of the Number 18797

Eighteen Thousand Seven Hundred Ninety-Seven

Basics

Value: 18796 → 18797 → 18798

Parity: odd

Prime: Yes

Previous Prime: 18793

Next Prime: 18803

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 18797

Divisors: 1, 18797

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100100101101101

Octal: 44555

Duodecimal: AA65

Hexadecimal: 496d

Square: 353327209

Square Root: 137.10215169719257

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

Shiraishi numbers: a parametrized family of solutions c to the Diophantine equation a³ + b³ + c³ = d³ with d = c+1. A226903

Smaller member p of a pair (p,p+6) of consecutive primes in different centuries. A160370

Primes with digit sum = 32. A106768

Smallest prime p such that the multiplicative order of 8 modulo p is n, or 0 if no such prime exists. A372798

Triangle read by rows: T(n,k) is the number of skew Dyck paths of semilength n and having k primitive Dyck factors (n >= 0; 0 <= k <= n). A129154

Primes p such that p mod A001414(p-1) = p mod A001414(p+1). A339180

Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 9. A31422

Number of skew Dyck paths of semilength n that have no primitive Dyck factors. A129155

Primes p such that q = p mod A001414(p-1) = p mod A001414(p+1) is prime. A339182

E.g.f.: exp( exp(x) * (exp(x) - 1 - x) ). A347432