271,828
271,828 is the first six digits of e, the base of natural logarithms.
- Even
- Composite
Where 271,828 fits
Why 271,828 is special
It is the number at which continuous growth compounds: money at 100 per cent interest compounded continuously multiplies by e in a year, rather than by two. Every exponential process in physics, finance and biology is written in terms of it for that reason, not by convention.
271,828 is part of
Factors & digit properties
- Divisors (6)
- 1, 2, 4, 67957, 135914, 271828
- Prime factorisation
- 2^2 × 67957
- Digit sum
- 28
- Digital root
- 1
Representations
- Decimal
- 271828
- Scientific notation
- 2.718 × 10^5
Roman numerals
Roman numerals as modelled here goes up to 3,999.
Binary
1 0 0 0 0 1 0 0 1 0 1 1 1 0 1 0 1 0 0
1 × 262,144 + 0 × 131,072 + 0 × 65,536 + 0 × 32,768 + 0 × 16,384 + 1 × 8,192 + 0 × 4,096 + 0 × 2,048 + 1 × 1,024 + 0 × 512 + 1 × 256 + 1 × 128 + 1 × 64 + 0 × 32 + 1 × 16 + 0 × 8 + 1 × 4 + 0 × 2 + 0 × 1 = 271,828
Octal
1 0 2 2 7 2 4
1 × 262,144 + 0 × 32,768 + 2 × 4,096 + 2 × 512 + 7 × 64 + 2 × 8 + 4 × 1 = 271,828
Hexadecimal
4 2 5 d 4
4 × 65,536 + 2 × 4,096 + 5 × 256 + d × 16 + 4 × 1 = 271,828
Read as powers of two: 262,144 + 8,192 + 1,024 + 256 + 128 + 64 + 16 + 4 = 271,828.
In historical numeral systems
Egyptian
2 tadpoles, 7 fingers, 1 lotus, 8 coils of rope, 2 hobbles, 8 strokes
2 × 100,000 + 7 × 10,000 + 1 × 1,000 + 8 × 100 + 2 × 10 + 8 × 1 = 271,828. 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
- Deficient number
Related numbers & connections
271828 appears in Numbers in measurement, the topic covering numbers that carry a documented measurement fact.
Numbers Around Us
- appears inUnits and measurement
why?
Strength 0.50, confidence "high".
Science
The base of natural logarithms written as its first six digits is 271,828. Money at 100 per cent annual interest compounded continuously multiplies by e rather than by two. Every exponential process in physics, finance and biology is written in terms of it for that reason rather than by convention.
DocumentedScienceGeography: worldwide
Common questions
Is 271,828 a prime number?
No, 271,828 is not prime.
What are the factors of 271,828?
The factors of 271,828 are 1, 2, 4, 67957, 135914, 271828.
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