17,296
17,296 and 18,416 are an amicable pair found by Fermat.
- Even
- Composite
Why 17,296 is special
Amicable pairs were known to the Greeks in one instance and nothing more was added for over a thousand years. Fermat and Descartes each produced one in the seventeenth century, restarting the subject.
Factors & digit properties
- Divisors (20)
- 1, 2, 4, 8, 16, 23, 46, 47, 92, 94, 184, 188, 368, 376, 752, 1081, 2162, 4324, 8648, 17296
- Prime factorisation
- 2^4 × 23 × 47
- Digit sum
- 25
- Digital root
- 7
Representations
- Decimal
- 17296
- Binary
- 100001110010000
- Octal
- 41620
- Hexadecimal
- 4390
- Scientific notation
- 1.730 × 10^4
Other mathematical patterns
- Abundant number
Mathematics
After 220 and 284, no new amicable pair was published for well over a millennium. Fermat's discovery of 17,296 and 18,416 reopened the question, and thousands are now known.
DocumentedMathematics
Common questions
Is 17,296 a prime number?
No, 17,296 is not prime.
What are the factors of 17,296?
The factors of 17,296 are 1, 2, 4, 8, 16, 23, 46, 47, 92, 94, 184, 188, 368, 376, 752, 1081, 2162, 4324, 8648, 17296.
About this page's data
Mathematical facts:computed directly from the number's value — nothing to source or verify externally.
Contextual records: 1 reviewer-confirmed record, sourced and reviewed before publication.
Last reviewed: 3 August 2026