Properties of the Number 8741

Eight Thousand Seven Hundred Forty-One

Basics

Value: 8740 → 8741 → 8742

Parity: odd

Prime: Yes

Previous Prime: 8737

Next Prime: 8747

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 8741

Divisors: 1, 8741

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001000100101

Octal: 21045

Duodecimal: 5085

Hexadecimal: 2225

Square: 76405081

Square Root: 93.49331526906082

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 k² - k - 1. A2327

Number of partitions of n into a prime number of parts. A38499

Primes such that the sum of the predecessor and successor primes is divisible by 31. A113155

Numbers k such that (15^k - 1)/14 is prime. A6033

Number of integer partitions of n whose parts have choosable sets of integer partitions. A387328

Primes with distinct digits in descending order. A52014

Mother primes of order 9. A136068

T(n,k)=Number of zero-sum nXk -1..1 arrays with every element equal to at least one horizontal or vertical neighbor. A201847

G.f. A(x) equals the limit of the composition of functions (x+xⁿ) in reverse order; let F₁(x) = x, F_n+1(x) = F_n(x) + F_n(x)ⁿ⁺¹, then A(x) = limit F_n(x): A(x) = ...o x+xⁿ o ... o x+x³ o x+x² o x. A119471

Prime numbers k such that 8·k+1 and 8·k+3 are also primes. A139402