Properties of the Number 18747

Eighteen Thousand Seven Hundred Forty-Seven

Basics

Value: 18746 → 18747 → 18748

Parity: odd

Prime: No

Previous Prime: 18743

Next Prime: 18749

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 2083

Divisors: 1, 3, 9, 2083, 6249, 18747

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100100100111011

Octal: 44473

Duodecimal: AA23

Hexadecimal: 493b

Square: 351450009

Square Root: 136.91968448692833

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

Given the infinite continued fraction i+(i/(i+(i/(i+...)))), where i is the square root of (-1), this is the numerator of the real part of the convergents. A91806

Smallest positive number that requires n iterations of f(k) to reach a single digit, where f(k) is the product of the two numbers formed from the alternating digits of k. A87473

Expansion of x/(x⁴-x³-2x²-x+1). A92886

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1)*b(n-2), where a(0) = 1, a(1) = 3, b(0) = 2, b(1) = 4, and (a(n)) and (b(n)) are increasing complementary sequences. A295363

Numbers k such that 6!*(2·k-7)!/(k!*(k-1)!) is an integer. A4786

a(n) is the greatest integer such that binomial(a(n),n)*2^{1 - binomial(n,2}) < 1. A279032

Numbers k such that 7!*(2k-8)!/(k!*(k-1)!) is an integer. A4787

Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite RTE = RUB-3 [Si24O48].2R starting with a T2 atom. A19224

a(n+1) is the Hankel transform of C(n)+C(n+2), where C(n) = A000108(n). A138269

Divisors of 964. A18747