The number 60528
60528 is a composite number with 40 divisors. Its prime factorisation is × 3 × 13 × 97. Divisors (40): 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 97 … 60528.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60528: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
60528 is composite. Its prime factorisation is
- 3
The divisors add up to 170128; without 60528 itself that is 109600, so 60528 is abundant (109600 is more than 60528). Euler's totient φ(60528) = 18432 numbers up to 60528 share no factor with it.
- 4
The digits of 60528 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60528 = 2^{4} \times 3 \times 13 \times 97 \]60528 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 170128 |
| Euler totient φ(n) | 18432 |
| Square | 3663638784 |
| Cube | 221752728317952 |
| Square root | 246.024389 (= 4√3783) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 135 |
| Scientific notation | 6.0528 × |
60528 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand five hundred and twenty-eight |
| Binary (base 2) | 1110110001110000 |
| Octal (base 8) | 166160 |
| Hexadecimal (base 16) | EC70 |
| Base 3 | 10002000210 |
| As time | 60528 seconds = 16 h 48 min 48 s |
Is 60528 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60528 ÷ 2 = 30264) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (60528 ÷ 3 = 20176) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (60528 ÷ 4 = 15132) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (60528 ÷ 6 = 10088) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (60528 ÷ 8 = 7566) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 (60528 ÷ 12 = 5044) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60528 a prime number?
No. 60528 = × 3 × 13 × 97, so it is divisible by 2.
What are the factors of 60528?
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 97, 104, 156, 194, 208, 291, 312, 388, 582, 624, 776, 1164, 1261, 1552, 2328, 2522, 3783, 4656, 5044, 7566, 10088, 15132, 20176, 30264, 60528.
What is 60528 in binary?
1110110001110000 (hexadecimal EC70, octal 166160).
What is the square root of 60528?
About 246.0244, exactly 4√3783.
Is 60528 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 60528?
60528 is a happy number: repeatedly adding the squares of its digits reaches 1.