The number 58055
58055 is a composite number with 8 divisors. Its prime factorisation is 5 × 17 × 683. Divisors (8): 1, 5, 17, 85, 683, 3415, 11611, 58055.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58055: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
58055 is composite. Its prime factorisation is
- 3
The divisors add up to 73872; without 58055 itself that is 15817, so 58055 is deficient (15817 is less than 58055). Euler's totient φ(58055) = 43648 numbers up to 58055 share no factor with it.
- 4
The digits of 58055 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58055 = 5 \times 17 \times 683 \]
58055 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 73872 |
| Euler totient φ(n) | 43648 |
| Square | 3370383025 |
| Cube | 195667586516375 |
| Square root | 240.946052 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.8055 × |
58055 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand and fifty-five |
| Binary (base 2) | 1110001011000111 |
| Octal (base 8) | 161307 |
| Hexadecimal (base 16) | E2C7 |
| Base 3 | 2221122012 |
| As time | 58055 seconds = 16 h 7 min 35 s |
Is 58055 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 | No (remainder 2) | 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 | Yes (58055 ÷ 5 = 11611) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58055 a prime number?
No. 58055 = 5 × 17 × 683, so it is divisible by 5.
What are the factors of 58055?
1, 5, 17, 85, 683, 3415, 11611, 58055.
What is 58055 in binary?
1110001011000111 (hexadecimal E2C7, octal 161307).
What is the square root of 58055?
About 240.9461.
Is 58055 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 58055?
58055 is a happy number: repeatedly adding the squares of its digits reaches 1.