Properties of the Number 8493

Eight Thousand Four Hundred Ninety-Three

Basics

Value: 8492 → 8493 → 8494

Parity: odd

Prime: No

Previous Prime: 8467

Next Prime: 8501

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 19 × 149

Divisors: 1, 3, 19, 57, 149, 447, 2831, 8493

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000100101101

Octal: 20455

Duodecimal: 4AB9

Hexadecimal: 212d

Square: 72131049

Square Root: 92.15747392371387

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

Numbers n such that P(4n) is prime, where P(m) is the number of partitions of m. A111045

Numbers k > 1 such that, in base 4, k and k² contain the same digits in the same proportion. A61658

T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302472

Numbers k such that k⁴ can be written as a sum of four positive 4th powers with no common factor. A39664

Number of set partitions of set-systems with total sum n. A330459

G.f. A(x) satisfies: A(x) = A(x³) / (1 - x)². A309677

a(n) = smallest index i such that A010062(i) >= 2ⁿ. A229167

Consecutive states of the linear congruential pseudo-random number generator (430·s + 2531) mod 11979 when started at s=1. A384431

a(n) = c is least number such that 10ⁿ/2 -/+ c are primes. A124049

Least number k >= 0 such that (n!+k)/n is prime. A245695