Properties of the Number 8725

Eight Thousand Seven Hundred Twenty-Five

Basics

Value: 8724 → 8725 → 8726

Parity: odd

Prime: No

Previous Prime: 8719

Next Prime: 8731

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 5 ² × 349

Divisors: 1, 5, 25, 349, 1745, 8725

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001000010101

Octal: 21025

Duodecimal: 5071

Hexadecimal: 2215

Square: 76125625

Square Root: 93.40770846134703

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) = n*(14·n - 1). A195024

Odd composites k such that σ(k) has the same powerful part as k, where σ is the sum of divisors function. A386425

Numbers k for which the 3-adic valuations of k and σ(k) are equal, and that also satisfy Euler's criterion for odd perfect numbers (see A228058). A349755

Discriminants of totally real quartic fields. A23680

Terms k of A228058 such that gcd(k - A048250(k), A162296(k) - k) = A162296(k) - k. A325376

a(1)=2, a(2)=3, for n >= 3, a(n) = 2*(gpf(a(n-1)) + gpf(a(n-2))) + 1, where gpf(n) is the greatest prime factor of n. A202211

a(n) = a(n-1) + a(n-3) unless a(n-1) and a(n-3) are both even in which case a(n) = (a(n-1) + a(n-3))/2, with a(0) = a(1) = a(2) = 1. A341312

Numbers k satisfying Euler's criterion for odd perfect numbers (A228058), such that σ(k)+k is also a multiple of 3, and σ(k) preserves the 3-adic valuation of k, where σ is the sum of divisors function. A387162

Discriminants of totally real quartic fields (see comments). A2769

Numbers k such that 5·10^k + R_k + 8 is prime, where R_k = 11...1 is the repunit (A002275) of length k. A103007