Properties of the Number 18743

Eighteen Thousand Seven Hundred Forty-Three

Basics

Value: 18742 → 18743 → 18744

Parity: odd

Prime: Yes

Previous Prime: 18731

Next Prime: 18749

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 18743

Divisors: 1, 18743

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100100100110111

Octal: 44467

Duodecimal: AA1B

Hexadecimal: 4937

Square: 351300049

Square Root: 136.90507660419317

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

Numbers n such that (13ⁿ - 1)/12 is prime. A16054

Non-palindromic balanced primes. A256076

Supersafe primes. A181841

Eigenvector of the triangle of distinct partitions (A008289), so that: a(n) = ∑_k=1..tri(n) A008289(n,k)*a(k) for n>=1 with a(1)=1, where tri(n) = floor((sqrt(8·n+1)-1)/2). A118399

P(n,k) is an array read by rows, with n > 0 and k=1..5, where row n gives the chain of 5 consecutive primes {p(i), p(i+1), p(i+2), p(i+3), p(i+4)} having the symmetrical property p(i) + p(i+4) = p(i+1) + p(i+3) = 2·p(i+2) for some index i. A267028

Triangle T(n,k) read by rows, where the n-th row is the vector of n consecutive primes with minimum first element, such that the components of the sum of this vector and of this vector arranged in reverse order are all the same. A391880

Numbers k such that 69·2^k+1 is prime. A32384

Euclid-Mullin sequence (A000945) with initial value a(1)=131071 instead of a(1)=2. A51331

a(n) = r-th prime of the form (p-q)/(q-r) with r=prime(n+1), q=prime(n+2), and primes p > q. A89577

Prime differences of Lucas 4-step numbers. A113295