The number 60088
60088 is a composite number with 32 divisors. Its prime factorisation is × 7 × 29 × 37. Divisors (32): 1, 2, 4, 7, 8, 14, 28, 29, 37, 56, 58, 74, 116, 148, 203, 232 … 60088.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
60088 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
60088 is composite. Its prime factorisation is
- 3
The divisors add up to 136800; without 60088 itself that is 76712, so 60088 is abundant (76712 is more than 60088). Euler's totient φ(60088) = 24192 numbers up to 60088 share no factor with it.
- 4
The digits of 60088 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60088 = 2^{3} \times 7 \times 29 \times 37 \]60088 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 136800 |
| Euler totient φ(n) | 24192 |
| Square | 3610567744 |
| Cube | 216951794601472 |
| Square root | 245.128538 (= 2√15022) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 65 |
| Scientific notation | 6.0088 × |
60088 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand and eighty-eight |
| Binary (base 2) | 1110101010111000 |
| Octal (base 8) | 165270 |
| Hexadecimal (base 16) | EAB8 |
| Base 3 | 10001102111 |
| As time | 60088 seconds = 16 h 41 min 28 s |
Is 60088 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60088 ÷ 2 = 30044) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (60088 ÷ 4 = 15022) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (60088 ÷ 7 = 8584) | 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 (60088 ÷ 8 = 7511) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60088 a prime number?
No. 60088 = × 7 × 29 × 37, so it is divisible by 2.
What are the factors of 60088?
1, 2, 4, 7, 8, 14, 28, 29, 37, 56, 58, 74, 116, 148, 203, 232, 259, 296, 406, 518, 812, 1036, 1073, 1624, 2072, 2146, 4292, 7511, 8584, 15022, 30044, 60088.
What is 60088 in binary?
1110101010111000 (hexadecimal EAB8, octal 165270).
What is the square root of 60088?
About 245.1285, exactly 2√15022.
Is 60088 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 60088?
It is a composite number with 32 divisors.