Properties of the Number 19793

Nineteen Thousand Seven Hundred Ninety-Three

Basics

Value: 19792 → 19793 → 19794

Parity: odd

Prime: Yes

Previous Prime: 19777

Next Prime: 19801

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 19793

Divisors: 1, 19793

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100110101010001

Octal: 46521

Duodecimal: B555

Hexadecimal: 4d51

Square: 391762849

Square Root: 140.68759717899798

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 p such that p's set of distinct digits is {1,3,7,9}. A108386

Binomial transform of {b(n)}, where b(n)=1 for prime n and b(n)=0 otherwise. A52467

Let u(1) = x and u(n+1) = (n²/u(n)) + 1 for n >= 1; then a(n) is such that u(n) = (b(n)*x + c(n))/(d(n)*x + a(n)) (in lowest terms) and a(n), b(n), c(n), d(n) are positive integers. A75829

Primes that are the first in a run of exactly 3 emirps. A346023

Prime p1 of consecutive primes p1, p2, where p2 - p1 = 8, and p1, p2 are in different centuries. A287049

a(n) = ceiling(binomial(n,6)/n). A53643

Primes of the form 5·x² - 3·y², where·and y are consecutive numbers. A176470

Primes p such that A179382((p+1)/2) = (p-1)/16. A225759

Primes p such that x⁴⁸ = 2 has no solution mod p, but x²⁴ = 2 has a solution mod p. A59669

Primes congruent to 28 mod 59. A142755