The number 65142
65142 is a composite number with 48 divisors. Its prime factorisation is 2 × × 7 × 11 × 47. Divisors (48): 1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 47, 63, 66 … 65142.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 65142: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
65142 is composite. Its prime factorisation is
- 3
The divisors add up to 179712; without 65142 itself that is 114570, so 65142 is abundant (114570 is more than 65142). Euler's totient φ(65142) = 16560 numbers up to 65142 share no factor with it.
- 4
The digits of 65142 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 161 steps to reach 1.
LaTeX source of the formulas on this page
\[ 65142 = 2 \times 3^{2} \times 7 \times 11 \times 47 \]65142 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 179712 |
| Euler totient φ(n) | 16560 |
| Square | 4243480164 |
| Cube | 276428784843288 |
| Square root | 255.229309 (= 3√7238) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 161 |
| Scientific notation | 6.5142 × |
65142 in other forms
| Form | Value |
|---|---|
| In words | sixty-five thousand one hundred and forty-two |
| Binary (base 2) | 1111111001110110 |
| Octal (base 8) | 177166 |
| Hexadecimal (base 16) | FE76 |
| Base 3 | 10022100200 |
| As time | 65142 seconds = 18 h 5 min 42 s |
Is 65142 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (65142 ÷ 2 = 32571) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (65142 ÷ 3 = 21714) | 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 (65142 ÷ 6 = 10857) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (65142 ÷ 7 = 9306) | 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 | Yes (65142 ÷ 9 = 7238) | 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 | Yes (65142 ÷ 11 = 5922) | 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 65142 a prime number?
No. 65142 = 2 × × 7 × 11 × 47, so it is divisible by 2.
What are the factors of 65142?
1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 47, 63, 66, 77, 94, 99, 126, 141, 154, 198, 231, 282, 329, 423, 462, 517, 658, 693, 846, 987, 1034, 1386, 1551, 1974, 2961, 3102, 3619, 4653, 5922, 7238, 9306, 10857, 21714, 32571, 65142.
What is 65142 in binary?
1111111001110110 (hexadecimal FE76, octal 177166).
What is the square root of 65142?
About 255.2293, exactly 3√7238.
Is 65142 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 65142?
65142 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.