The number 58671
58671 is a composite number with 16 divisors. Its prime factorisation is × 41 × 53. Divisors (16): 1, 3, 9, 27, 41, 53, 123, 159, 369, 477, 1107, 1431, 2173, 6519, 19557, 58671.
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How to work it out
- 1
What is special about 58671: a Harshad number: divisible by its digit sum 27.
- 2
58671 is composite. Its prime factorisation is
- 3
The divisors add up to 90720; without 58671 itself that is 32049, so 58671 is deficient (32049 is less than 58671). Euler's totient φ(58671) = 37440 numbers up to 58671 share no factor with it.
- 4
The digits of 58671 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 197 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58671 = 3^{3} \times 41 \times 53 \]58671 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 90720 |
| Euler totient φ(n) | 37440 |
| Square | 3442286241 |
| Cube | 201962376045711 |
| Square root | 242.220973 (= 3√6519) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 197 |
| Scientific notation | 5.8671 × |
58671 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand six hundred and seventy-one |
| Binary (base 2) | 1110010100101111 |
| Octal (base 8) | 162457 |
| Hexadecimal (base 16) | E52F |
| Base 3 | 2222111000 |
| As time | 58671 seconds = 16 h 17 min 51 s |
Is 58671 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 (58671 ÷ 3 = 19557) | 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 1) | 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 (58671 ÷ 9 = 6519) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 58671 a prime number?
No. 58671 = × 41 × 53, so it is divisible by 3.
What are the factors of 58671?
1, 3, 9, 27, 41, 53, 123, 159, 369, 477, 1107, 1431, 2173, 6519, 19557, 58671.
What is 58671 in binary?
1110010100101111 (hexadecimal E52F, octal 162457).
What is the square root of 58671?
About 242.2210, exactly 3√6519.
Is 58671 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 58671?
58671 is a Harshad number: divisible by its digit sum 27.