The number 52080
52080 is a composite number with 80 divisors. Its prime factorisation is × 3 × 5 × 7 × 31. Divisors (80): 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24 … 52080.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 52080: a Harshad number: divisible by its digit sum 15.
- 2
52080 is composite. Its prime factorisation is
- 3
The divisors add up to 190464; without 52080 itself that is 138384, so 52080 is abundant (138384 is more than 52080). Euler's totient φ(52080) = 11520 numbers up to 52080 share no factor with it.
- 4
The digits of 52080 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52080 = 2^{4} \times 3 \times 5 \times 7 \times 31 \]52080 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 80 |
| Sum of divisors | 190464 |
| Euler totient φ(n) | 11520 |
| Square | 2712326400 |
| Cube | 141257958912000 |
| Square root | 228.210429 (= 4√3255) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.208 × |
52080 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand and eighty |
| Binary (base 2) | 1100101101110000 |
| Octal (base 8) | 145560 |
| Hexadecimal (base 16) | CB70 |
| Base 3 | 2122102220 |
| As time | 52080 seconds = 14 h 28 min 0 s |
Is 52080 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52080 ÷ 2 = 26040) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (52080 ÷ 3 = 17360) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (52080 ÷ 4 = 13020) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (52080 ÷ 5 = 10416) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (52080 ÷ 6 = 8680) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (52080 ÷ 7 = 7440) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | Yes (52080 ÷ 8 = 6510) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (52080 ÷ 10 = 5208) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (52080 ÷ 12 = 4340) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 52080 a prime number?
No. 52080 = × 3 × 5 × 7 × 31, so it is divisible by 2.
What are the factors of 52080?
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 31, 35, 40, 42, 48, 56, 60, 62, 70, 80, 84, 93, 105, 112, 120, 124, 140, 155, 168, 186, 210, 217, 240, 248, 280, 310, 336, 372, 420, 434, 465, 496, 560, 620, 651, 744, 840, 868, 930, 1085, 1240, 1302, 1488, 1680, 1736, 1860, 2170, 2480, 2604, 3255, 3472, 3720, 4340, 5208, 6510, 7440, 8680, 10416, 13020, 17360, 26040, 52080.
What is 52080 in binary?
1100101101110000 (hexadecimal CB70, octal 145560).
What is the square root of 52080?
About 228.2104, exactly 4√3255.
Is 52080 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 52080?
52080 is a Harshad number: divisible by its digit sum 15.