The number 8520
8520 is a composite number with 32 divisors. Its prime factorisation is × 3 × 5 × 71. Divisors (32): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 71 … 8520.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8520: a Harshad number: divisible by its digit sum 15.
- 2
8520 is composite. Its prime factorisation is
- 3
The divisors add up to 25920; without 8520 itself that is 17400, so 8520 is abundant (17400 is more than 8520). Euler's totient φ(8520) = 2240 numbers up to 8520 share no factor with it.
- 4
The digits of 8520 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
\[ 8520 = 2^{3} \times 3 \times 5 \times 71 \]8520 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 25920 |
| Euler totient φ(n) | 2240 |
| Square | 72590400 |
| Cube | 618470208000 |
| Square root | 92.303846 (= 2√2130) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 78 |
| Scientific notation | 8.52 × |
8520 in other forms
| Form | Value |
|---|---|
| In words | eight thousand five hundred and twenty |
| Binary (base 2) | 10000101001000 |
| Octal (base 8) | 20510 |
| Hexadecimal (base 16) | 2148 |
| Base 3 | 102200120 |
| As time | 8520 seconds = 2 h 22 min 0 s |
Is 8520 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8520 ÷ 2 = 4260) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8520 ÷ 3 = 2840) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (8520 ÷ 4 = 2130) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (8520 ÷ 5 = 1704) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (8520 ÷ 6 = 1420) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (8520 ÷ 8 = 1065) | 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 (8520 ÷ 10 = 852) | 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 (8520 ÷ 12 = 710) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8520 a prime number?
No. 8520 = × 3 × 5 × 71, so it is divisible by 2.
What are the factors of 8520?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 71, 120, 142, 213, 284, 355, 426, 568, 710, 852, 1065, 1420, 1704, 2130, 2840, 4260, 8520.
What is 8520 in binary?
10000101001000 (hexadecimal 2148, octal 20510).
What is the square root of 8520?
About 92.3038, exactly 2√2130.
Is 8520 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 8520?
8520 is a Harshad number: divisible by its digit sum 15.