The number 67422
67422 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 17 × 661. Divisors (16): 1, 2, 3, 6, 17, 34, 51, 102, 661, 1322, 1983, 3966, 11237, 22474, 33711, 67422.
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How to work it out
- 1
What is special about 67422: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
67422 is composite. Its prime factorisation is
- 3
The divisors add up to 142992; without 67422 itself that is 75570, so 67422 is abundant (75570 is more than 67422). Euler's totient φ(67422) = 21120 numbers up to 67422 share no factor with it.
- 4
The digits of 67422 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 130 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67422 = 2 \times 3 \times 17 \times 661 \]
67422 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 142992 |
| Euler totient φ(n) | 21120 |
| Square | 4545726084 |
| Cube | 306481944035448 |
| Square root | 259.657467 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 130 |
| Scientific notation | 6.7422 × |
67422 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand four hundred and twenty-two |
| Binary (base 2) | 10000011101011110 |
| Octal (base 8) | 203536 |
| Hexadecimal (base 16) | 1075E |
| Base 3 | 10102111010 |
| As time | 67422 seconds = 18 h 43 min 42 s |
Is 67422 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67422 ÷ 2 = 33711) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67422 ÷ 3 = 22474) | 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 (67422 ÷ 6 = 11237) | 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 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 67422 a prime number?
No. 67422 = 2 × 3 × 17 × 661, so it is divisible by 2.
What are the factors of 67422?
1, 2, 3, 6, 17, 34, 51, 102, 661, 1322, 1983, 3966, 11237, 22474, 33711, 67422.
What is 67422 in binary?
10000011101011110 (hexadecimal 1075E, octal 203536).
What is the square root of 67422?
About 259.6575.
Is 67422 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 67422?
67422 is a happy number: repeatedly adding the squares of its digits reaches 1.