The number 58986
58986 is a composite number with 24 divisors. Its prime factorisation is 2 × × 29 × 113. Divisors (24): 1, 2, 3, 6, 9, 18, 29, 58, 87, 113, 174, 226, 261, 339, 522, 678 … 58986.
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How to work it out
- 1
58986 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58986 is composite. Its prime factorisation is
- 3
The divisors add up to 133380; without 58986 itself that is 74394, so 58986 is abundant (74394 is more than 58986). Euler's totient φ(58986) = 18816 numbers up to 58986 share no factor with it.
- 4
The digits of 58986 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58986 = 2 \times 3^{2} \times 29 \times 113 \]58986 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 133380 |
| Euler totient φ(n) | 18816 |
| Square | 3479348196 |
| Cube | 205232832689256 |
| Square root | 242.870336 (= 3√6554) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 135 |
| Scientific notation | 5.8986 × |
58986 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand nine hundred and eighty-six |
| Binary (base 2) | 1110011001101010 |
| Octal (base 8) | 163152 |
| Hexadecimal (base 16) | E66A |
| Base 3 | 2222220200 |
| As time | 58986 seconds = 16 h 23 min 6 s |
Is 58986 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58986 ÷ 2 = 29493) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (58986 ÷ 3 = 19662) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (58986 ÷ 6 = 9831) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (58986 ÷ 9 = 6554) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58986 a prime number?
No. 58986 = 2 × × 29 × 113, so it is divisible by 2.
What are the factors of 58986?
1, 2, 3, 6, 9, 18, 29, 58, 87, 113, 174, 226, 261, 339, 522, 678, 1017, 2034, 3277, 6554, 9831, 19662, 29493, 58986.
What is 58986 in binary?
1110011001101010 (hexadecimal E66A, octal 163152).
What is the square root of 58986?
About 242.8703, exactly 3√6554.
Is 58986 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 58986?
It is a composite number with 24 divisors.