Properties of the Number 18757

Eighteen Thousand Seven Hundred Fifty-Seven

Basics

Value: 18756 → 18757 → 18758

Parity: odd

Prime: Yes

Previous Prime: 18749

Next Prime: 18773

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 18757

Divisors: 1, 18757

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100100101000101

Octal: 44505

Duodecimal: AA31

Hexadecimal: 4945

Square: 351825049

Square Root: 136.95619737711763

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

Positions of records in A240606. A240619

Largest prime below prime(n)² (A001248). A54270

Number of partitions of n such that 2*(number of distinct parts) = number of parts. A239959

Primes of the form abs(3n³ - 183n² + 3318n - 18757) in order of increasing nonnegative n. A272401

Nonnegative numbers n such that abs(3n³ - 183n² + 3318n - 18757) is prime. A272302

Quadruple Hex-primes: let f(n) = A102489(n); then sequence lists primes p such that f(p), f(f(p)). f(f(f(p))) and f(f(f(f(p)))) are also primes. A237440

Number of unlabeled rooted trees with n nodes where the outdegrees (branching factors) of adjacent nodes differ by exactly one. A257654

Primes that remain prime through 3 iterations of function f(x) = 2x + 3. A23273

Take A163498(n) written in binary, insert a 0 before every 1. a(n) is the decimal equivalent of the result. A163499

a(n) is the least k such that A261865(k) = A005117(n). A262036