Properties of the Number 51893

Fifty-One Thousand Eight Hundred Ninety-Three

Basics

Value: 51892 → 51893 → 51894

Parity: odd

Prime: Yes

Previous Prime: 51871

Next Prime: 51899

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 51893

Divisors: 1, 51893

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100101010110101

Octal: 145265

Duodecimal: 26045

Hexadecimal: cab5

Square: 2692883449

Square Root: 227.80035118497952

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 of the form 6n² - 1. A90686

McKay-Thompson series of class 23A for Monster. A58570

McKay-Thompson series of class 23A for the Monster group with a(0) = 1. A134781

a(n) = 54·n² - 1. A158656

Numbers k such that prime(prime(k)) + 2 == 0 (mod prime(k)), where prime(p)=A000040(p) is the p-th prime. A156148

Primes p such that the period of the continued fraction of (1-sqrt(p))/2 has length 3 and p is not of the form k²+1. A188136

Primes p such that the polynomial x⁷ - 7·x + 3 (mod p) is the product of seven linear factors. A358147

a(n) = ∑_i=1..n-1 i²*a(i), a(1) = 1. A51893

E.g.f.: (1-x) / (exp(-x) - x). A305133

a(n) is the smallest prime p greater than all previous terms such that the product of the previous terms plus p is prime. A387687