The number 58167
58167 is a composite number with 12 divisors. Its prime factorisation is × 23 × 281. Divisors (12): 1, 3, 9, 23, 69, 207, 281, 843, 2529, 6463, 19389, 58167.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
58167 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58167 is composite. Its prime factorisation is
- 3
The divisors add up to 87984; without 58167 itself that is 29817, so 58167 is deficient (29817 is less than 58167). Euler's totient φ(58167) = 36960 numbers up to 58167 share no factor with it.
- 4
The digits of 58167 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58167 = 3^{2} \times 23 \times 281 \]58167 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 87984 |
| Euler totient φ(n) | 36960 |
| Square | 3383399889 |
| Cube | 196802221343463 |
| Square root | 241.178357 (= 3√6463) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 166 |
| Scientific notation | 5.8167 × |
58167 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand one hundred and sixty-seven |
| Binary (base 2) | 1110001100110111 |
| Octal (base 8) | 161467 |
| Hexadecimal (base 16) | E337 |
| Base 3 | 2221210100 |
| As time | 58167 seconds = 16 h 9 min 27 s |
Is 58167 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (58167 ÷ 3 = 19389) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 3) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (58167 ÷ 9 = 6463) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58167 a prime number?
No. 58167 = × 23 × 281, so it is divisible by 3.
What are the factors of 58167?
1, 3, 9, 23, 69, 207, 281, 843, 2529, 6463, 19389, 58167.
What is 58167 in binary?
1110001100110111 (hexadecimal E337, octal 161467).
What is the square root of 58167?
About 241.1784, exactly 3√6463.
Is 58167 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 58167?
It is a composite number with 12 divisors.