The number 65442
65442 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 13 × 839. Divisors (16): 1, 2, 3, 6, 13, 26, 39, 78, 839, 1678, 2517, 5034, 10907, 21814, 32721, 65442.
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How to work it out
- 1
What is special about 65442: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
65442 is composite. Its prime factorisation is
- 3
The divisors add up to 141120; without 65442 itself that is 75678, so 65442 is abundant (75678 is more than 65442). Euler's totient φ(65442) = 20112 numbers up to 65442 share no factor with it.
- 4
The digits of 65442 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 65442 = 2 \times 3 \times 13 \times 839 \]
65442 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 141120 |
| Euler totient φ(n) | 20112 |
| Square | 4282655364 |
| Cube | 280265532330888 |
| Square root | 255.816340 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.5442 × |
65442 in other forms
| Form | Value |
|---|---|
| In words | sixty-five thousand four hundred and forty-two |
| Binary (base 2) | 1111111110100010 |
| Octal (base 8) | 177642 |
| Hexadecimal (base 16) | FFA2 |
| Base 3 | 10022202210 |
| As time | 65442 seconds = 18 h 10 min 42 s |
Is 65442 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (65442 ÷ 2 = 32721) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (65442 ÷ 3 = 21814) | 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 (65442 ÷ 6 = 10907) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 3) | 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 65442 a prime number?
No. 65442 = 2 × 3 × 13 × 839, so it is divisible by 2.
What are the factors of 65442?
1, 2, 3, 6, 13, 26, 39, 78, 839, 1678, 2517, 5034, 10907, 21814, 32721, 65442.
What is 65442 in binary?
1111111110100010 (hexadecimal FFA2, octal 177642).
What is the square root of 65442?
About 255.8163.
Is 65442 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 65442?
65442 is a happy number: repeatedly adding the squares of its digits reaches 1.