Properties of the Number 18541

Eighteen Thousand Five Hundred Forty-One

Basics

Value: 18540 → 18541 → 18542

Parity: odd

Prime: Yes

Previous Prime: 18539

Next Prime: 18553

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 18541

Divisors: 1, 18541

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100100001101101

Octal: 44155

Duodecimal: A891

Hexadecimal: 486d

Square: 343768681

Square Root: 136.1653406708183

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

Partial sums of A299259. A299265

Increasing gaps among twin primes: the largest prime of the starting twin pair. A36061

Primes p of Erdos-Selfridge class 5+ with largest prime factor of p+1 not of class 4+. A129473

G.f.: ∑_k>=0 x^k * ∏_j=1..4·k (1 + x^j)/(1 - x^j). A385090

Primes congruent to 15 mod 59. A142742

Primes p such that p - 2 and p³ - 2 are also prime. A240126

Greater of twin primes p such that 3·p-2 is also greater of twin primes. A177336

Primes p such that p-2 and q are primes, where q is concatenation of binary representations of p and p-2: q = p·2^L + p-2, where L is the length of binary representation of p-2: L=A070939(p-2). A232237

Expansion of e.g.f. exp( x·C(x)³ ) where C(x) = (1 - sqrt(1-4·x))/(2·x) is the g.f. of the Catalan numbers, A000108. A250917

The maximal norm of an additively indecomposable element in Shanks' simplest cubic field Q[x]/(x³ - n·x² - (n+3)*x - 1). A387575