The number 58077
58077 is a composite number with 12 divisors. Its prime factorisation is × 239. Divisors (12): 1, 3, 9, 27, 81, 239, 243, 717, 2151, 6453, 19359, 58077.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58077: a Harshad number: divisible by its digit sum 27.
- 2
58077 is composite. Its prime factorisation is
- 3
The divisors add up to 87360; without 58077 itself that is 29283, so 58077 is deficient (29283 is less than 58077). Euler's totient φ(58077) = 38556 numbers up to 58077 share no factor with it.
- 4
The digits of 58077 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 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58077 = 3^{5} \times 239 \]58077 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 87360 |
| Euler totient φ(n) | 38556 |
| Square | 3372937929 |
| Cube | 195890116102533 |
| Square root | 240.991701 (= 9√717) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 166 |
| Scientific notation | 5.8077 × |
58077 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand and seventy-seven |
| Binary (base 2) | 1110001011011101 |
| Octal (base 8) | 161335 |
| Hexadecimal (base 16) | E2DD |
| Base 3 | 2221200000 |
| As time | 58077 seconds = 16 h 7 min 57 s |
Is 58077 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 (58077 ÷ 3 = 19359) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (58077 ÷ 9 = 6453) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58077 a prime number?
No. 58077 = × 239, so it is divisible by 3.
What are the factors of 58077?
1, 3, 9, 27, 81, 239, 243, 717, 2151, 6453, 19359, 58077.
What is 58077 in binary?
1110001011011101 (hexadecimal E2DD, octal 161335).
What is the square root of 58077?
About 240.9917, exactly 9√717.
Is 58077 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 58077?
58077 is a Harshad number: divisible by its digit sum 27.