The number 58982
58982 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 11 × 383. Divisors (16): 1, 2, 7, 11, 14, 22, 77, 154, 383, 766, 2681, 4213, 5362, 8426, 29491, 58982.
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How to work it out
- 1
58982 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58982 is composite. Its prime factorisation is
- 3
The divisors add up to 110592; without 58982 itself that is 51610, so 58982 is deficient (51610 is less than 58982). Euler's totient φ(58982) = 22920 numbers up to 58982 share no factor with it.
- 4
The digits of 58982 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58982 = 2 \times 7 \times 11 \times 383 \]
58982 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 110592 |
| Euler totient φ(n) | 22920 |
| Square | 3478876324 |
| Cube | 205191083342168 |
| Square root | 242.862101 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.8982 × |
58982 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand nine hundred and eighty-two |
| Binary (base 2) | 1110011001100110 |
| Octal (base 8) | 163146 |
| Hexadecimal (base 16) | E666 |
| Base 3 | 2222220112 |
| As time | 58982 seconds = 16 h 23 min 2 s |
Is 58982 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58982 ÷ 2 = 29491) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (58982 ÷ 7 = 8426) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 | Yes (58982 ÷ 11 = 5362) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58982 a prime number?
No. 58982 = 2 × 7 × 11 × 383, so it is divisible by 2.
What are the factors of 58982?
1, 2, 7, 11, 14, 22, 77, 154, 383, 766, 2681, 4213, 5362, 8426, 29491, 58982.
What is 58982 in binary?
1110011001100110 (hexadecimal E666, octal 163146).
What is the square root of 58982?
About 242.8621.
Is 58982 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 58982?
It is a composite number with 16 divisors.