The number 58992
58992 is a composite number with 20 divisors. Its prime factorisation is × 3 × 1229. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1229, 2458, 3687, 4916, 7374, 9832 … 58992.
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How to work it out
- 1
58992 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58992 is composite. Its prime factorisation is
- 3
The divisors add up to 152520; without 58992 itself that is 93528, so 58992 is abundant (93528 is more than 58992). Euler's totient φ(58992) = 19648 numbers up to 58992 share no factor with it.
- 4
The digits of 58992 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58992 = 2^{4} \times 3 \times 1229 \]58992 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 152520 |
| Euler totient φ(n) | 19648 |
| Square | 3480056064 |
| Cube | 205295467327488 |
| Square root | 242.882688 (= 4√3687) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.8992 × |
58992 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand nine hundred and ninety-two |
| Binary (base 2) | 1110011001110000 |
| Octal (base 8) | 163160 |
| Hexadecimal (base 16) | E670 |
| Base 3 | 2222220220 |
| As time | 58992 seconds = 16 h 23 min 12 s |
Is 58992 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58992 ÷ 2 = 29496) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (58992 ÷ 3 = 19664) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (58992 ÷ 4 = 14748) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (58992 ÷ 6 = 9832) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (58992 ÷ 8 = 7374) | 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 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (58992 ÷ 12 = 4916) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58992 a prime number?
No. 58992 = × 3 × 1229, so it is divisible by 2.
What are the factors of 58992?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1229, 2458, 3687, 4916, 7374, 9832, 14748, 19664, 29496, 58992.
What is 58992 in binary?
1110011001110000 (hexadecimal E670, octal 163160).
What is the square root of 58992?
About 242.8827, exactly 4√3687.
Is 58992 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 58992?
It is a composite number with 20 divisors.