Properties of the Number 18461

Eighteen Thousand Four Hundred Sixty-One

Basics

Value: 18460 → 18461 → 18462

Parity: odd

Prime: Yes

Previous Prime: 18457

Next Prime: 18481

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 18461

Divisors: 1, 18461

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100100000011101

Octal: 44035

Duodecimal: A825

Hexadecimal: 481d

Square: 340808521

Square Root: 135.8712625980932

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

a(n) = prime(n²). A11757

Lower prime of a difference of 20 between consecutive primes. A31938

Least prime in A031938 (lesser of primes differing by 20) whose distance to the next 20-twin is 6·n. A52359

Floor(X/Y) where X = concatenation of (2n), (2n-1), ... down to n+1 and Y = concatenation of n, n-1, n-2, ... down to 1. A67089

"Convex" primes: extremal primes in the sense of Tutaj. A246033

Primes p such that 2p+1, 4p+3, 6p+5 are all primes. A107020

a(n) is the position of the last two-tuple within the reverse lexicographic set of partitions of 2n and 2n+1, with a(1)-a(n) representing the positions of every 2-tuple partition of 2n and 2n+1. A216053

Primes p2 such that p1² + p2³ is an average of twin primes and p1 < p2 are consecutive primes. A138716

Sum of proper divisors minus the number of proper divisors of Catalan number A000108(n). A152988

Odd primes p for which there are exactly as many primes in the range [prevprime(p)², prevprime(p)*p] as there are in the range [prevprime(p)*p, p²], where prevprime(p) gives the previous prime before prime p. A256473