Properties of the Number 18413

Eighteen Thousand Four Hundred Thirteen

Basics

Value: 18412 → 18413 → 18414

Parity: odd

Prime: Yes

Previous Prime: 18401

Next Prime: 18427

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 18413

Divisors: 1, 18413

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100011111101101

Octal: 43755

Duodecimal: A7A5

Hexadecimal: 47ed

Square: 339038569

Square Root: 135.69450983735487

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

Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 21. A51962

Values of n such that L(20) and N(20) are both prime, where L(k) = (n²+n+1)*2^2·k + (2·n+1)*2^k + 1, N(k) = (n²+n+1)*2^k + n. A227523

Number of integer partitions of n whose product is divisible by the sum of primes of their parts. A330954

a(1) = 2; a(n) is the smallest prime > a(n-1) such that a(n) + a(n-1) is a square. A62064

Number of legal Go positions on a 1 X n board (for which 3ⁿ is a trivial upper bound). A102620

Number of partitions of n such that (least part) <= (multiplicity of greatest part). A240179

Primes that remain prime through 3 iterations of function f(x) = 2x + 7. A23275

Primes congruent to 5 mod 59. A142732

Numbers k such that the continued fraction for sqrt(k) has period 57. A20396

Smallest prime with "n²" as central digit(s). A38370