The number 58377
58377 is a composite number with 16 divisors. Its prime factorisation is 3 × 11 × 29 × 61. Divisors (16): 1, 3, 11, 29, 33, 61, 87, 183, 319, 671, 957, 1769, 2013, 5307, 19459, 58377.
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How to work it out
- 1
58377 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58377 is composite. Its prime factorisation is
- 3
The divisors add up to 89280; without 58377 itself that is 30903, so 58377 is deficient (30903 is less than 58377). Euler's totient φ(58377) = 33600 numbers up to 58377 share no factor with it.
- 4
The digits of 58377 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58377 = 3 \times 11 \times 29 \times 61 \]
58377 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 89280 |
| Euler totient φ(n) | 33600 |
| Square | 3407874129 |
| Cube | 198941468028633 |
| Square root | 241.613327 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 104 |
| Scientific notation | 5.8377 × |
58377 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand three hundred and seventy-seven |
| Binary (base 2) | 1110010000001001 |
| Octal (base 8) | 162011 |
| Hexadecimal (base 16) | E409 |
| Base 3 | 2222002010 |
| As time | 58377 seconds = 16 h 12 min 57 s |
Is 58377 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 (58377 ÷ 3 = 19459) | 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 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 3) | 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 | Yes (58377 ÷ 11 = 5307) | 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 58377 a prime number?
No. 58377 = 3 × 11 × 29 × 61, so it is divisible by 3.
What are the factors of 58377?
1, 3, 11, 29, 33, 61, 87, 183, 319, 671, 957, 1769, 2013, 5307, 19459, 58377.
What is 58377 in binary?
1110010000001001 (hexadecimal E409, octal 162011).
What is the square root of 58377?
About 241.6133.
Is 58377 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 58377?
It is a composite number with 16 divisors.