4900
4,900 is the only square that is also a sum of consecutive squares from one.
Where 4900 fits
Why 4900 is special
1² + 2² + … + 24² = 4,900 = 70². Proving 24 is the only case beyond the trivial one required serious machinery, and the result is known as the cannonball problem.
4900 is part of
Factors & digit properties
- Divisors (27)
- 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 140, 175, 196, 245, 350, 490, 700, 980, 1225, 2450, 4900
- Prime factorisation
- 2^2 × 5^2 × 7^2
- Digit sum
- 13
- Digital root
- 4
Representations
- Decimal
- 4900
- Scientific notation
- 4.900 × 10^3
Roman numerals
Roman numerals as modelled here goes up to 3,999.
Binary
1 0 0 1 1 0 0 1 0 0 1 0 0
1 × 4,096 + 0 × 2,048 + 0 × 1,024 + 1 × 512 + 1 × 256 + 0 × 128 + 0 × 64 + 1 × 32 + 0 × 16 + 0 × 8 + 1 × 4 + 0 × 2 + 0 × 1 = 4,900
Octal
1 1 4 4 4
1 × 4,096 + 1 × 512 + 4 × 64 + 4 × 8 + 4 × 1 = 4,900
Hexadecimal
1 3 2 4
1 × 4,096 + 3 × 256 + 2 × 16 + 4 × 1 = 4,900
Read as powers of two: 4,096 + 512 + 256 + 32 + 4 = 4,900.
In historical numeral systems
Egyptian
4 lotuses, 9 coils of rope
4 × 1,000 + 9 × 100 = 4,900. 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
- Happy number
- Powerful number
Mathematics
Stacking cannonballs in a square pyramid gives a square number of balls only for a pyramid 24 high, totalling 4,900. Proving there are no other cases is far harder than finding this one.
DocumentedMathematics
Common questions
Is 4900 a prime number?
No, 4900 is not prime.
What are the factors of 4900?
The factors of 4900 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 140, 175, 196, 245, 350, 490, 700, 980, 1225, 2450, 4900.
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