The number 58289
58289 is a composite number with 8 divisors. Its prime factorisation is 7 × 11 × 757. Divisors (8): 1, 7, 11, 77, 757, 5299, 8327, 58289.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
58289 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58289 is composite. Its prime factorisation is
- 3
The divisors add up to 72768; without 58289 itself that is 14479, so 58289 is deficient (14479 is less than 58289). Euler's totient φ(58289) = 45360 numbers up to 58289 share no factor with it.
- 4
The digits of 58289 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 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58289 = 7 \times 11 \times 757 \]
58289 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 72768 |
| Euler totient φ(n) | 45360 |
| Square | 3397607521 |
| Cube | 198043144791569 |
| Square root | 241.431150 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 166 |
| Scientific notation | 5.8289 × |
58289 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand two hundred and eighty-nine |
| Binary (base 2) | 1110001110110001 |
| Octal (base 8) | 161661 |
| Hexadecimal (base 16) | E3B1 |
| Base 3 | 2221221212 |
| As time | 58289 seconds = 16 h 11 min 29 s |
Is 58289 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 4) | 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 | Yes (58289 ÷ 7 = 8327) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (58289 ÷ 11 = 5299) | 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 58289 a prime number?
No. 58289 = 7 × 11 × 757, so it is divisible by 7.
What are the factors of 58289?
1, 7, 11, 77, 757, 5299, 8327, 58289.
What is 58289 in binary?
1110001110110001 (hexadecimal E3B1, octal 161661).
What is the square root of 58289?
About 241.4311.
Is 58289 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 58289?
It is a composite number with 8 divisors.