The number 67383
67383 is a composite number with 6 divisors. Its prime factorisation is × 7487. Divisors (6): 1, 3, 9, 7487, 22461, 67383.
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How to work it out
- 1
What is special about 67383: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
67383 is composite. Its prime factorisation is
- 3
The divisors add up to 97344; without 67383 itself that is 29961, so 67383 is deficient (29961 is less than 67383). Euler's totient φ(67383) = 44916 numbers up to 67383 share no factor with it.
- 4
The digits of 67383 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 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67383 = 3^{2} \times 7487 \]67383 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 97344 |
| Euler totient φ(n) | 44916 |
| Square | 4540468689 |
| Cube | 305950401670887 |
| Square root | 259.582357 (= 3√7487) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.7383 × |
67383 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand three hundred and eighty-three |
| Binary (base 2) | 10000011100110111 |
| Octal (base 8) | 203467 |
| Hexadecimal (base 16) | 10737 |
| Base 3 | 10102102200 |
| As time | 67383 seconds = 18 h 43 min 3 s |
Is 67383 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 (67383 ÷ 3 = 22461) | 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 1) | 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 (67383 ÷ 9 = 7487) | 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 8) | 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 67383 a prime number?
No. 67383 = × 7487, so it is divisible by 3.
What are the factors of 67383?
1, 3, 9, 7487, 22461, 67383.
What is 67383 in binary?
10000011100110111 (hexadecimal 10737, octal 203467).
What is the square root of 67383?
About 259.5824, exactly 3√7487.
Is 67383 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 67383?
67383 is a happy number: repeatedly adding the squares of its digits reaches 1.