The number 55742
55742 is a composite number with 8 divisors. Its prime factorisation is 2 × 47 × 593. Divisors (8): 1, 2, 47, 94, 593, 1186, 27871, 55742.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55742 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55742 is composite. Its prime factorisation is
- 3
The divisors add up to 85536; without 55742 itself that is 29794, so 55742 is deficient (29794 is less than 55742). Euler's totient φ(55742) = 27232 numbers up to 55742 share no factor with it.
- 4
The digits of 55742 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55742 = 2 \times 47 \times 593 \]
55742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 85536 |
| Euler totient φ(n) | 27232 |
| Square | 3107170564 |
| Cube | 173199901578488 |
| Square root | 236.097438 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.5742 × |
55742 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand seven hundred and forty-two |
| Binary (base 2) | 1101100110111110 |
| Octal (base 8) | 154676 |
| Hexadecimal (base 16) | D9BE |
| Base 3 | 2211110112 |
| As time | 55742 seconds = 15 h 29 min 2 s |
Is 55742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55742 ÷ 2 = 27871) | 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 1) | 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 5) | 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 5) | 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 55742 a prime number?
No. 55742 = 2 × 47 × 593, so it is divisible by 2.
What are the factors of 55742?
1, 2, 47, 94, 593, 1186, 27871, 55742.
What is 55742 in binary?
1101100110111110 (hexadecimal D9BE, octal 154676).
What is the square root of 55742?
About 236.0974.
Is 55742 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 55742?
It is a composite number with 8 divisors.