The number 58742
58742 is a composite number with 8 divisors. Its prime factorisation is 2 × 23 × 1277. Divisors (8): 1, 2, 23, 46, 1277, 2554, 29371, 58742.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
58742 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58742 is composite. Its prime factorisation is
- 3
The divisors add up to 92016; without 58742 itself that is 33274, so 58742 is deficient (33274 is less than 58742). Euler's totient φ(58742) = 28072 numbers up to 58742 share no factor with it.
- 4
The digits of 58742 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58742 = 2 \times 23 \times 1277 \]
58742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 92016 |
| Euler totient φ(n) | 28072 |
| Square | 3450622564 |
| Cube | 202696470654488 |
| Square root | 242.367490 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.8742 × |
58742 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand seven hundred and forty-two |
| Binary (base 2) | 1110010101110110 |
| Octal (base 8) | 162566 |
| Hexadecimal (base 16) | E576 |
| Base 3 | 2222120122 |
| As time | 58742 seconds = 16 h 19 min 2 s |
Is 58742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58742 ÷ 2 = 29371) | 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 2) | 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 2) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58742 a prime number?
No. 58742 = 2 × 23 × 1277, so it is divisible by 2.
What are the factors of 58742?
1, 2, 23, 46, 1277, 2554, 29371, 58742.
What is 58742 in binary?
1110010101110110 (hexadecimal E576, octal 162566).
What is the square root of 58742?
About 242.3675.
Is 58742 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 58742?
It is a composite number with 8 divisors.