1597
1,597 is a Fibonacci number and a prime.
Where 1597 fits
Why 1597 is special
It is the seventeenth Fibonacci number, and the largest Fibonacci prime below ten thousand. Only a handful are known at all, and whether the list ends is unresolved despite the sequence itself being completely understood.
1597 is part of
Factors & digit properties
- Divisors (2)
- 1, 1597
- Prime factorisation
- 1597
- Digit sum
- 22
- Digital root
- 4
Representations
- Decimal
- 1597
- Binary
- 11000111101
- Octal
- 3075
- Hexadecimal
- 63d
- Roman numeral
- MDXCVII
- Scientific notation
- 1.597 × 10^3
Other mathematical patterns
- Deficient number
- Lucky number (mathematical sieve)
Related numbers & connections
Both are Fibonacci primes, four places apart in the sequence. 1,597 divided by 233 is close to the golden ratio raised to the fourth power, which is what Fibonacci ratios converge on.
View 233 →1,597 is the seventeenth Fibonacci number and the largest Fibonacci prime below ten thousand.
Mathematically related
- is a multiple of233
why?
Strength 0.50, confidence "high".
Numbers Around Us
- appears inFibonacci sequence
why?
Strength 0.50, confidence "high".
Mathematics
1,597 is the seventeenth Fibonacci number, prime, and the last Fibonacci prime under ten thousand. Only a few dozen are known in total despite the sequence being completely understood, which is the gap that makes the open question interesting.
DocumentedMathematics
Common questions
Is 1597 a prime number?
Yes, 1597 is prime — it has exactly two positive divisors: 1 and itself.
What are the factors of 1597?
The factors of 1597 are 1, 1597.
What is 1597 in Roman numerals?
1597 in Roman numerals is MDXCVII.
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