The number 58239
58239 is a composite number with 10 divisors. Its prime factorisation is × 719. Divisors (10): 1, 3, 9, 27, 81, 719, 2157, 6471, 19413, 58239.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58239: a Harshad number: divisible by its digit sum 27.
- 2
58239 is composite. Its prime factorisation is
- 3
The divisors add up to 87120; without 58239 itself that is 28881, so 58239 is deficient (28881 is less than 58239). Euler's totient φ(58239) = 38772 numbers up to 58239 share no factor with it.
- 4
The digits of 58239 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 228 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58239 = 3^{4} \times 719 \]58239 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 87120 |
| Euler totient φ(n) | 38772 |
| Square | 3391781121 |
| Cube | 197533940705919 |
| Square root | 241.327578 (= 9√719) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 228 |
| Scientific notation | 5.8239 × |
58239 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand two hundred and thirty-nine |
| Binary (base 2) | 1110001101111111 |
| Octal (base 8) | 161577 |
| Hexadecimal (base 16) | E37F |
| Base 3 | 2221220000 |
| As time | 58239 seconds = 16 h 10 min 39 s |
Is 58239 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 (58239 ÷ 3 = 19413) | 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 4) | 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 6) | 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 (58239 ÷ 9 = 6471) | 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 | No (remainder 5) | 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 58239 a prime number?
No. 58239 = × 719, so it is divisible by 3.
What are the factors of 58239?
1, 3, 9, 27, 81, 719, 2157, 6471, 19413, 58239.
What is 58239 in binary?
1110001101111111 (hexadecimal E37F, octal 161577).
What is the square root of 58239?
About 241.3276, exactly 9√719.
Is 58239 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 58239?
58239 is a Harshad number: divisible by its digit sum 27.