The number 59988
59988 is a composite number with 12 divisors. Its prime factorisation is × 3 × 4999. Divisors (12): 1, 2, 3, 4, 6, 12, 4999, 9998, 14997, 19996, 29994, 59988.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
59988 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
59988 is composite. Its prime factorisation is
- 3
The divisors add up to 140000; without 59988 itself that is 80012, so 59988 is abundant (80012 is more than 59988). Euler's totient φ(59988) = 19992 numbers up to 59988 share no factor with it.
- 4
The digits of 59988 add up to 39, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 179 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59988 = 2^{2} \times 3 \times 4999 \]59988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 140000 |
| Euler totient φ(n) | 19992 |
| Square | 3598560144 |
| Cube | 215870425918272 |
| Square root | 244.924478 (= 2√14997) |
| Digit sum / digital root | 39 / 3 |
| Collatz steps to 1 | 179 |
| Scientific notation | 5.9988 × |
59988 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand nine hundred and eighty-eight |
| Binary (base 2) | 1110101001010100 |
| Octal (base 8) | 165124 |
| Hexadecimal (base 16) | EA54 |
| Base 3 | 10001021210 |
| As time | 59988 seconds = 16 h 39 min 48 s |
Is 59988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59988 ÷ 2 = 29994) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (59988 ÷ 3 = 19996) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (59988 ÷ 4 = 14997) | 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 (59988 ÷ 6 = 9998) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | No (remainder 4) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (59988 ÷ 12 = 4999) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 59988 a prime number?
No. 59988 = × 3 × 4999, so it is divisible by 2.
What are the factors of 59988?
1, 2, 3, 4, 6, 12, 4999, 9998, 14997, 19996, 29994, 59988.
What is 59988 in binary?
1110101001010100 (hexadecimal EA54, octal 165124).
What is the square root of 59988?
About 244.9245, exactly 2√14997.
Is 59988 divisible by 3?
Yes. Its digits add up to 39, a multiple of 3.
What is special about the number 59988?
It is a composite number with 12 divisors.