Properties of the Number 18301

Eighteen Thousand Three Hundred One

Basics

Value: 18300 → 18301 → 18302

Parity: odd

Prime: Yes

Previous Prime: 18289

Next Prime: 18307

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 18301

Divisors: 1, 18301

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 100011101111101

Octal: 43575

Duodecimal: A711

Hexadecimal: 477d

Square: 334926601

Square Root: 135.28118864054971

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

Number of partitions of n such that 2*(greatest part) >= (number of parts). A237755

Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[6, 4,2]; short d-string notation of pattern = [642]. A78855

Primes of the form 5k² + 5k + 1. A90562

Primes of the form p = prime(k) = (prime(k+3)+prime(k-1))/2. A126238

a(n) is the number of distinct solution sets to the quadratic equations u·x² + v·x + w = 0 with integer coefficients u, v, w, abs(u) + abs(v) + abs(w) <= n having a negative discriminant. A381710

Primes p such that x⁶¹ = 2 has no solution mod p. A59230

Primes p = prime(i) such that p(i)# - p(i+1) is prime. A93078

Primes congruent to 11 mod 59. A142738

Prime(r) for r such that prime(r) - prime(r-1) = 12 and prime(r-1) - prime(r-2) = 2. A299110

Number of labeled T₀-hypergraphs with n hyperedges (empty hyperedges and multiple hyperedges included). A59586