Properties of the Number 8743

Eight Thousand Seven Hundred Forty-Three

Basics

Value: 8742 → 8743 → 8744

Parity: odd

Prime: No

Previous Prime: 8741

Next Prime: 8747

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 7 × 1249

Divisors: 1, 7, 1249, 8743

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001000100111

Octal: 21047

Duodecimal: 5087

Hexadecimal: 2227

Square: 76440049

Square Root: 93.5040106091712

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

a(n) = 4·n² - 10·n + 7. A54554

Discriminants of imaginary quadratic fields with class number 26 (negated). A351664

Numbers whose sum of divisors is a fourth power. A19422

Positive integers n such that 13ⁿ == 6 (mod n). A116631

a(n) = 9·n² + 3·n + 1. A82040

a(n) is the smallest number m such that σ(m)=10ⁿ and if there is no such m, a(n)=0. A110077

Construct sequences P,Q,R by the rules: Q = first differences of P, R = second differences of P, P starts with 1,5,11, Q starts with 4,6, R starts with 2; at each stage the smallest number not yet present in P,Q,R is appended to R; every number appears exactly once in the union of P,Q,R. Sequence gives P. A225376

Least positive integer k such that σ(k) and φ(k·n) are both squares, where σ(k) is the sum of all positive divisors of k, and φ(.) is Euler's totient function. A259916

Indices k such that A377091(k) is immediately followed by A377091(k+1) = -A377091(k). A379802

Numbers n such that (22ⁿ-1)²-2 is prime. A100907