The number 67792
67792 is a composite number with 20 divisors. Its prime factorisation is × 19 × 223. Divisors (20): 1, 2, 4, 8, 16, 19, 38, 76, 152, 223, 304, 446, 892, 1784, 3568, 4237 … 67792.
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How to work it out
- 1
What is special about 67792: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
67792 is composite. Its prime factorisation is
- 3
The divisors add up to 138880; without 67792 itself that is 71088, so 67792 is abundant (71088 is more than 67792). Euler's totient φ(67792) = 31968 numbers up to 67792 share no factor with it.
- 4
The digits of 67792 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67792 = 2^{4} \times 19 \times 223 \]67792 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 138880 |
| Euler totient φ(n) | 31968 |
| Square | 4595755264 |
| Cube | 311555440857088 |
| Square root | 260.368969 (= 4√4237) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 37 |
| Scientific notation | 6.7792 × |
67792 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand seven hundred and ninety-two |
| Binary (base 2) | 10000100011010000 |
| Octal (base 8) | 204320 |
| Hexadecimal (base 16) | 108D0 |
| Base 3 | 10102222211 |
| As time | 67792 seconds = 18 h 49 min 52 s |
Is 67792 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67792 ÷ 2 = 33896) | 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 | Yes (67792 ÷ 4 = 16948) | 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 | Yes (67792 ÷ 8 = 8474) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67792 a prime number?
No. 67792 = × 19 × 223, so it is divisible by 2.
What are the factors of 67792?
1, 2, 4, 8, 16, 19, 38, 76, 152, 223, 304, 446, 892, 1784, 3568, 4237, 8474, 16948, 33896, 67792.
What is 67792 in binary?
10000100011010000 (hexadecimal 108D0, octal 204320).
What is the square root of 67792?
About 260.3690, exactly 4√4237.
Is 67792 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 67792?
67792 is a happy number: repeatedly adding the squares of its digits reaches 1.