The number 65742
65742 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 10957. Divisors (8): 1, 2, 3, 6, 10957, 21914, 32871, 65742.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 65742: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
65742 is composite. Its prime factorisation is
- 3
The divisors add up to 131496; without 65742 itself that is 65754, so 65742 is abundant (65754 is more than 65742). Euler's totient φ(65742) = 21912 numbers up to 65742 share no factor with it.
- 4
The digits of 65742 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 65742 = 2 \times 3 \times 10957 \]
65742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 131496 |
| Euler totient φ(n) | 21912 |
| Square | 4322010564 |
| Cube | 284137618498488 |
| Square root | 256.402028 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 122 |
| Scientific notation | 6.5742 × |
65742 in other forms
| Form | Value |
|---|---|
| In words | sixty-five thousand seven hundred and forty-two |
| Binary (base 2) | 10000000011001110 |
| Octal (base 8) | 200316 |
| Hexadecimal (base 16) | 100CE |
| Base 3 | 10100011220 |
| As time | 65742 seconds = 18 h 15 min 42 s |
Is 65742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (65742 ÷ 2 = 32871) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (65742 ÷ 3 = 21914) | 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 | Yes (65742 ÷ 6 = 10957) | 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 6) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 65742 a prime number?
No. 65742 = 2 × 3 × 10957, so it is divisible by 2.
What are the factors of 65742?
1, 2, 3, 6, 10957, 21914, 32871, 65742.
What is 65742 in binary?
10000000011001110 (hexadecimal 100CE, octal 200316).
What is the square root of 65742?
About 256.4020.
Is 65742 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 65742?
65742 is a happy number: repeatedly adding the squares of its digits reaches 1.