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
- Scientific notation
- 1.730 × 10^4
Roman numerals
Roman numerals as modelled here goes up to 3,999.
Binary
1 0 0 0 0 1 1 1 0 0 1 0 0 0 0
1 × 16,384 + 0 × 8,192 + 0 × 4,096 + 0 × 2,048 + 0 × 1,024 + 1 × 512 + 1 × 256 + 1 × 128 + 0 × 64 + 0 × 32 + 1 × 16 + 0 × 8 + 0 × 4 + 0 × 2 + 0 × 1 = 17,296
Octal
4 1 6 2 0
4 × 4,096 + 1 × 512 + 6 × 64 + 2 × 8 + 0 × 1 = 17,296
Hexadecimal
4 3 9 0
4 × 4,096 + 3 × 256 + 9 × 16 + 0 × 1 = 17,296
Read as powers of two: 16,384 + 512 + 256 + 128 + 16 = 17,296.
In historical numeral systems
Egyptian
1 finger, 7 lotuses, 2 coils of rope, 9 hobbles, 6 strokes
1 × 10,000 + 7 × 1,000 + 2 × 100 + 9 × 10 + 6 × 1 = 17,296. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Systems that simply cannot reach this value are left out. Where a script needs a font most readers do not have, the reading is given instead of the glyphs — see number systems for each system in full.
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: 15 July 2026