Properties of the Number 12823

Twelve Thousand Eight Hundred Twenty-Three

Basics

Value: 12822 → 12823 → 12824

Parity: odd

Prime: Yes

Previous Prime: 12821

Next Prime: 12829

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 12823

Divisors: 1, 12823

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 11001000010111

Octal: 31027

Duodecimal: 7507

Hexadecimal: 3217

Square: 164429329

Square Root: 113.23868596906271

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

5-Ramanujan primes; the interval (x/2,x] has at least n 4-Ramanujan primes for x >= a(n) but not for x = a(n)-1. A192823

Boustrophedon transform of factorials beginning with 1, cf. A000142. A230961

Primes p that divide Fibonacci[(p+1)/7]. A125252

G.f.: ∑_k>=1 (k² * x^k² / ∏_j=1..k (1 - x^j)). A333141

Number of anti-runs of length n covering an initial interval of positive integers with strictly decreasing multiplicities. A386576

Numerators of continued fraction convergents to cosh(1). A78983

Primes of the form 210n + 13. A140841

Primes congruent to 21 mod 37. A142130

Primes p such that A001175(p) = 2*(p+1)/7. A308785

Primes that remain prime through 3 iterations of function f(x) = 8x + 9. A23295