The number 67742
67742 is a composite number with 4 divisors. Its prime factorisation is 2 × 33871. Divisors (4): 1, 2, 33871, 67742.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67742: a semiprime: 2 × 33871, the product of two primes.
- 2
67742 is composite. Its prime factorisation is
- 3
The divisors add up to 101616; without 67742 itself that is 33874, so 67742 is deficient (33874 is less than 67742). Euler's totient φ(67742) = 33870 numbers up to 67742 share no factor with it.
- 4
The digits of 67742 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 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67742 = 2 \times 33871 \]
67742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 101616 |
| Euler totient φ(n) | 33870 |
| Square | 4588978564 |
| Cube | 310866585882488 |
| Square root | 260.272934 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 42 |
| Scientific notation | 6.7742 × |
67742 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand seven hundred and forty-two |
| Binary (base 2) | 10000100010011110 |
| Octal (base 8) | 204236 |
| Hexadecimal (base 16) | 1089E |
| Base 3 | 10102220222 |
| As time | 67742 seconds = 18 h 49 min 2 s |
Is 67742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67742 ÷ 2 = 33871) | 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 3) | 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 4) | 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 67742 a prime number?
No. 67742 = 2 × 33871, so it is divisible by 2.
What are the factors of 67742?
1, 2, 33871, 67742.
What is 67742 in binary?
10000100010011110 (hexadecimal 1089E, octal 204236).
What is the square root of 67742?
About 260.2729.
Is 67742 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 67742?
67742 is a semiprime: 2 × 33871, the product of two primes.