The number 67743
67743 is a composite number with 16 divisors. Its prime factorisation is × 13 × 193. Divisors (16): 1, 3, 9, 13, 27, 39, 117, 193, 351, 579, 1737, 2509, 5211, 7527, 22581, 67743.
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How to work it out
- 1
What is special about 67743: a Harshad number: divisible by its digit sum 27.
- 2
67743 is composite. Its prime factorisation is
- 3
The divisors add up to 108640; without 67743 itself that is 40897, so 67743 is deficient (40897 is less than 67743). Euler's totient φ(67743) = 41472 numbers up to 67743 share no factor with it.
- 4
The digits of 67743 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67743 = 3^{3} \times 13 \times 193 \]67743 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 108640 |
| Euler totient φ(n) | 41472 |
| Square | 4589114049 |
| Cube | 310880353021407 |
| Square root | 260.274855 (= 3√7527) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 112 |
| Scientific notation | 6.7743 × |
67743 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand seven hundred and forty-three |
| Binary (base 2) | 10000100010011111 |
| Octal (base 8) | 204237 |
| Hexadecimal (base 16) | 1089F |
| Base 3 | 10102221000 |
| As time | 67743 seconds = 18 h 49 min 3 s |
Is 67743 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67743 ÷ 3 = 22581) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 | No (remainder 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (67743 ÷ 9 = 7527) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67743 a prime number?
No. 67743 = × 13 × 193, so it is divisible by 3.
What are the factors of 67743?
1, 3, 9, 13, 27, 39, 117, 193, 351, 579, 1737, 2509, 5211, 7527, 22581, 67743.
What is 67743 in binary?
10000100010011111 (hexadecimal 1089F, octal 204237).
What is the square root of 67743?
About 260.2749, exactly 3√7527.
Is 67743 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 67743?
67743 is a Harshad number: divisible by its digit sum 27.