10,080
There are 10,080 minutes in a week.
- Even
- Composite
Where 10,080 fits
Why 10,080 is special
The figure is useful precisely because a week is the unit people actually plan in. 10,080 also divides unusually well — by 7, 24, 60 and much else — which is why shift rotas and scheduling systems reach for it rather than for the day.
Factors & digit properties
- Divisors (72)
- 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 32, 35, 36, 40, 42, 45, 48, 56, 60, 63, 70, 72, 80, 84, 90, 96, 105, 112, 120, 126, 140, 144, 160, 168, 180, 210, 224, 240, 252, 280, 288, 315, 336, 360, 420, 480, 504, 560, 630, 672, 720, 840, 1008, 1120, 1260, 1440, 1680, 2016, 2520, 3360, 5040, 10080
- Prime factorisation
- 2^5 × 3^2 × 5 × 7
- Digit sum
- 9
- Digital root
- 9
Representations
- Decimal
- 10080
- Scientific notation
- 1.008 × 10^4
Roman numerals
Roman numerals as modelled here goes up to 3,999.
Binary
1 0 0 1 1 1 0 1 1 0 0 0 0 0
1 × 8,192 + 0 × 4,096 + 0 × 2,048 + 1 × 1,024 + 1 × 512 + 1 × 256 + 0 × 128 + 1 × 64 + 1 × 32 + 0 × 16 + 0 × 8 + 0 × 4 + 0 × 2 + 0 × 1 = 10,080
Octal
2 3 5 4 0
2 × 4,096 + 3 × 512 + 5 × 64 + 4 × 8 + 0 × 1 = 10,080
Hexadecimal
2 7 6 0
2 × 4,096 + 7 × 256 + 6 × 16 + 0 × 1 = 10,080
Read as powers of two: 8,192 + 1,024 + 512 + 256 + 64 + 32 = 10,080.
In historical numeral systems
Egyptian
1 finger, 8 hobbles
1 × 10,000 + 8 × 10 = 10,080. 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
- Highly composite number
- Harshad (Niven) number
Everyday life
10,080 minutes make a week, and the figure divides unusually well — by 7, 24, 60, 168 and more. Shift patterns and scheduling systems are built on the week rather than the day for exactly that reason.
DocumentedEveryday life
Common questions
Is 10,080 a prime number?
No, 10,080 is not prime.
What are the factors of 10,080?
The factors of 10,080 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 32, 35, 36, 40, 42, 45, 48, 56, 60, 63, 70, 72, 80, 84, 90, 96, 105, 112, 120, 126, 140, 144, 160, 168, 180, 210, 224, 240, 252, 280, 288, 315, 336, 360, 420, 480, 504, 560, 630, 672, 720, 840, 1008, 1120, 1260, 1440, 1680, 2016, 2520, 3360, 5040, 10080.
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