33,550,336
33,550,336 is the fifth perfect number: it equals the sum of its own proper divisors.
- Even
- Composite
Where 33,550,336 fits
Why 33,550,336 is special
The first four — 6, 28, 496 and 8,128 — were known in antiquity and appear in Nicomachus. Then nothing for well over a thousand years, because the fifth is more than four thousand times the fourth. That gap is why perfect numbers were long assumed to alternate in ending digits and to be far commoner than they are.
33,550,336 is part of
Factors & digit properties
- Divisors (26)
- 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8191, 16382, 32764, 65528, 131056, 262112, 524224, 1048448, 2096896, 4193792, 8387584, 16775168, 33550336
- Prime factorisation
- 2^12 × 8191
- Digit sum
- 28
- Digital root
- 1
Representations
- Decimal
- 33550336
- Scientific notation
- 3.355 × 10^7
Roman numerals
Roman numerals as modelled here goes up to 3,999.
Binary
1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0
1 × 16,777,216 + 1 × 8,388,608 + 1 × 4,194,304 + 1 × 2,097,152 + 1 × 1,048,576 + 1 × 524,288 + 1 × 262,144 + 1 × 131,072 + 1 × 65,536 + 1 × 32,768 + 1 × 16,384 + 1 × 8,192 + 1 × 4,096 + 0 × 2,048 + 0 × 1,024 + 0 × 512 + 0 × 256 + 0 × 128 + 0 × 64 + 0 × 32 + 0 × 16 + 0 × 8 + 0 × 4 + 0 × 2 + 0 × 1 = 33,550,336
Octal
1 7 7 7 7 0 0 0 0
1 × 16,777,216 + 7 × 2,097,152 + 7 × 262,144 + 7 × 32,768 + 7 × 4,096 + 0 × 512 + 0 × 64 + 0 × 8 + 0 × 1 = 33,550,336
Hexadecimal
1 f f f 0 0 0
1 × 16,777,216 + f × 1,048,576 + f × 65,536 + f × 4,096 + 0 × 256 + 0 × 16 + 0 × 1 = 33,550,336
Other mathematical patterns
- Triangular number
- Perfect number
- Hexagonal number
Related numbers & connections
33550336 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 fifth perfect number is 33,550,336 (worldwide, number theory). The first four were known in antiquity; the fifth is more than four thousand times the fourth, which is why the pattern was long misjudged.
DocumentedScienceGeography: worldwide, number theory
Common questions
Is 33,550,336 a prime number?
No, 33,550,336 is not prime.
What are the factors of 33,550,336?
The factors of 33,550,336 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8191, 16382, 32764, 65528, 131056, 262112, 524224, 1048448, 2096896, 4193792, 8387584, 16775168, 33550336.
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