Properties of the Number 9685

Nine Thousand Six Hundred Eighty-Five

Basics

Value: 9684 → 9685 → 9686

Parity: odd

Prime: No

Previous Prime: 9679

Next Prime: 9689

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 5 × 13 × 149

Divisors: 1, 5, 13, 65, 149, 745, 1937, 9685

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010111010101

Octal: 22725

Duodecimal: 5731

Hexadecimal: 25d5

Square: 93799225

Square Root: 98.41239759298622

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 triangle formed like generalized Pascal's triangle. The rule is T(n,k) = 2·T(n-1,k-1) + T(n-1,k), the left border is n and the right border is n² instead of 1. A228576

Ordered hypotenuses of primitive Pythagorean triangles having legs that add up to a square. A88319

Positions of ones in A264977; positions of twos in A277330. A277701

20k²-20k-5 interleaved with 20k²+5 for k=>0. A216876

a(n) = PrimePi(n³) - PrimePi(n)³, where PrimePi = A000720. A291538

Numbers that are the sum of ten fourth powers in ten or more ways. A345603

Numbers n that are the product of three distinct odd primes and x² + y² = n has integer solutions. A264498

Numbers m such that 18·m + 1, 36·m + 1, 108·m + 1, and 162·m + 1 are all primes. A372188

Odd numbers producing 4 odd numbers in the Collatz iteration. A198587

Values of hypotenuse of primitive Pythagorean triples which can have four different shapes (that is, four different sets of "legs"). A159781