Properties of the Number 19609

Nineteen Thousand Six Hundred Nine

Basics

Value: 19608 → 19609 → 19610

Parity: odd

Prime: Yes

Previous Prime: 19603

Next Prime: 19661

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 19609

Divisors: 1, 19609

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100110010011001

Octal: 46231

Duodecimal: B421

Hexadecimal: 4c99

Square: 384512881

Square Root: 140.03213916812098

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

Primes (lower end) with record gaps to the next consecutive prime: primes p(k) where p(k+1) - p(k) exceeds p(j+1) - p(j) for all j < k. A2386

Numbers k such that 5^k - 4^k is prime. A59802

a(0)=2; for n>=1, a(n) = smallest prime p such that there is a gap of exactly 2n between p and next prime, or -1 if no such prime exists. A230

Primes that are palindromic in base 2 (but written here in base 10). A16041

Prime p with prime gap q - p of n-th record merit, where q is smallest prime larger than p and the merit of a prime gap is (q-p)/log(p). A111870

Prime islands: for n >= 2, a(n) = least prime whose adjacent primes are exactly 2n apart; a(1) = 3 by convention. A46931

Array A read by diagonals; n-th difference of (A(k,n), A(k,n-1),..., A(k,0)) is (k+2)^n-1, for n=1,2,3,...; k=0,1,2,... A47848

prime(k) for those k where floor((2*(prime(k+1)-prime(k))*PrimePi(k) mod (8·k))/k) = m with m = 15. A109569

Primes dividing nonzero terms in A003095: the iterates of x² + 1 starting at 0. A247981

Primes for which the weight as defined in A117078 is 53 and the gap as defined in A001223 is 52. A118924