Properties of the Number 20393

Twenty Thousand Three Hundred Ninety-Three

Basics

Value: 20392 → 20393 → 20394

Parity: odd

Prime: Yes

Previous Prime: 20389

Next Prime: 20399

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 20393

Divisors: 1, 20393

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100111110101001

Octal: 47651

Duodecimal: B975

Hexadecimal: 4fa9

Square: 415874449

Square Root: 142.80406156688963

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

T(n,k)=Number of length n 1..(k+2) arrays with no leading partial sum equal to a prime. A254539

Smallest·such that Floor[A000040(x)/A002808(x)]=n. A73459

Primes p, with index k, such that p-k and p+k are both prime. A143794

Denominators of continued fraction convergents to sqrt(313). A41591

McKay-Thompson series of class 29A for Monster. A58611

The smallest prime p that makes the pair p+/-6n both primes while no other pair of p+/-6k+6·n, 0<k<n both primes. A139602

Primes of the form 2n²-9. A155702

Expansion of (1/x) * Series_Reversion( x/(x+1/(1-x+x³)) ). A370800

McKay-Thompson series of class 29A for the Monster group with a(0) = 2. A136570

Primes congruent to 19 mod 61. A142817