525,600
525,600 is the number of minutes in a common year, and the opening line of 'Seasons of Love' from the musical Rent.
- Even
- Composite
Where 525,600 fits
Why 525,600 is special
525,600 is a piece of arithmetic that became a lyric. 365 × 24 × 60 gives the minutes in a common year, and Jonathan Larson's 'Seasons of Love' opens by naming the figure and then asking how you measure a year in a life. A leap year has 527,040, which the song does not mention.
Factors & digit properties
- Divisors (108)
- 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 32, 36, 40, 45, 48, 50, 60, 72, 73, 75, 80, 90, 96, 100, 120, 144, 146, 150, 160, 180, 200, 219, 225, 240, 288, 292, 300, 360, 365, 400, 438, 450, 480, 584, 600, 657, 720, 730, 800, 876, 900, 1095, 1168, 1200, 1314, 1440, 1460, 1752, 1800, 1825, 2190, 2336, 2400, 2628, 2920, 3285, 3504, 3600, 3650, 4380, 5256, 5475, 5840, 6570, 7008, 7200, 7300, 8760, 10512, 10950, 11680, 13140, 14600, 16425, 17520, 21024, 21900, 26280, 29200, 32850, 35040, 43800, 52560, 58400, 65700, 87600, 105120, 131400, 175200, 262800, 525600
- Prime factorisation
- 2^5 × 3^2 × 5^2 × 73
- Digit sum
- 18
- Digital root
- 9
Representations
- Decimal
- 525600
- Binary
- 10000000010100100000
- Octal
- 2002440
- Hexadecimal
- 80520
- Scientific notation
- 5.256 × 10^5
Other mathematical patterns
- Abundant number
- Harshad (Niven) number
Related numbers & connections
525,600 is 365 x 1,440: the minutes in a common year, reached by multiplying the minutes in a day by the days in a year. It is the figure 'Seasons of Love' opens with.
View 1440 →Mathematically related
- is a factor of1440
why?
Strength 0.50, confidence "high".
Media & popular culture
'Seasons of Love' opens Act II of Jonathan Larson's Rent (1996) by stating the number of minutes in a year and then asking how else a year might be measured. The figure is exact for a common year — 365 × 24 × 60 — and the song's force comes from setting a precise, checkable quantity against the one it says cannot be counted.
DocumentedMedia & popular culturePeriod: 1996
Common questions
Is 525,600 a prime number?
No, 525,600 is not prime.
What are the factors of 525,600?
The factors of 525,600 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 32, 36, 40, 45, 48, 50, 60, 72, 73, 75, 80, 90, 96, 100, 120, 144, 146, 150, 160, 180, 200, 219, 225, 240, 288, 292, 300, 360, 365, 400, 438, 450, 480, 584, 600, 657, 720, 730, 800, 876, 900, 1095, 1168, 1200, 1314, 1440, 1460, 1752, 1800, 1825, 2190, 2336, 2400, 2628, 2920, 3285, 3504, 3600, 3650, 4380, 5256, 5475, 5840, 6570, 7008, 7200, 7300, 8760, 10512, 10950, 11680, 13140, 14600, 16425, 17520, 21024, 21900, 26280, 29200, 32850, 35040, 43800, 52560, 58400, 65700, 87600, 105120, 131400, 175200, 262800, 525600.
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