The number 58097
58097 is a composite number with 8 divisors. Its prime factorisation is 13 × 41 × 109. Divisors (8): 1, 13, 41, 109, 533, 1417, 4469, 58097.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58097: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
58097 is composite. Its prime factorisation is
- 3
The divisors add up to 64680; without 58097 itself that is 6583, so 58097 is deficient (6583 is less than 58097). Euler's totient φ(58097) = 51840 numbers up to 58097 share no factor with it.
- 4
The digits of 58097 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58097 = 13 \times 41 \times 109 \]
58097 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 64680 |
| Euler totient φ(n) | 51840 |
| Square | 3375261409 |
| Cube | 196092562078673 |
| Square root | 241.033193 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.8097 × |
58097 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand and ninety-seven |
| Binary (base 2) | 1110001011110001 |
| Octal (base 8) | 161361 |
| Hexadecimal (base 16) | E2F1 |
| Base 3 | 2221200202 |
| As time | 58097 seconds = 16 h 8 min 17 s |
Is 58097 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 1) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58097 a prime number?
No. 58097 = 13 × 41 × 109, so it is divisible by 13.
What are the factors of 58097?
1, 13, 41, 109, 533, 1417, 4469, 58097.
What is 58097 in binary?
1110001011110001 (hexadecimal E2F1, octal 161361).
What is the square root of 58097?
About 241.0332.
Is 58097 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 58097?
58097 is a happy number: repeatedly adding the squares of its digits reaches 1.