The number 66742
66742 is a composite number with 16 divisors. Its prime factorisation is 2 × 13 × 17 × 151. Divisors (16): 1, 2, 13, 17, 26, 34, 151, 221, 302, 442, 1963, 2567, 3926, 5134, 33371, 66742.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
66742 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
66742 is composite. Its prime factorisation is
- 3
The divisors add up to 114912; without 66742 itself that is 48170, so 66742 is deficient (48170 is less than 66742). Euler's totient φ(66742) = 28800 numbers up to 66742 share no factor with it.
- 4
The digits of 66742 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 236 steps to reach 1.
LaTeX source of the formulas on this page
\[ 66742 = 2 \times 13 \times 17 \times 151 \]
66742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 114912 |
| Euler totient φ(n) | 28800 |
| Square | 4454494564 |
| Cube | 297301876190488 |
| Square root | 258.344731 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 236 |
| Scientific notation | 6.6742 × |
66742 in other forms
| Form | Value |
|---|---|
| In words | sixty-six thousand seven hundred and forty-two |
| Binary (base 2) | 10000010010110110 |
| Octal (base 8) | 202266 |
| Hexadecimal (base 16) | 104B6 |
| Base 3 | 10101112221 |
| As time | 66742 seconds = 18 h 32 min 22 s |
Is 66742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (66742 ÷ 2 = 33371) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 4) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 66742 a prime number?
No. 66742 = 2 × 13 × 17 × 151, so it is divisible by 2.
What are the factors of 66742?
1, 2, 13, 17, 26, 34, 151, 221, 302, 442, 1963, 2567, 3926, 5134, 33371, 66742.
What is 66742 in binary?
10000010010110110 (hexadecimal 104B6, octal 202266).
What is the square root of 66742?
About 258.3447.
Is 66742 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 66742?
It is a composite number with 16 divisors.