The number 67983
67983 is a composite number with 16 divisors. Its prime factorisation is 3 × 17 × 31 × 43. Divisors (16): 1, 3, 17, 31, 43, 51, 93, 129, 527, 731, 1333, 1581, 2193, 3999, 22661, 67983.
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How to work it out
- 1
What is special about 67983: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
67983 is composite. Its prime factorisation is
- 3
The divisors add up to 101376; without 67983 itself that is 33393, so 67983 is deficient (33393 is less than 67983). Euler's totient φ(67983) = 40320 numbers up to 67983 share no factor with it.
- 4
The digits of 67983 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67983 = 3 \times 17 \times 31 \times 43 \]
67983 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 101376 |
| Euler totient φ(n) | 40320 |
| Square | 4621688289 |
| Cube | 314196234951087 |
| Square root | 260.735498 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.7983 × |
67983 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand nine hundred and eighty-three |
| Binary (base 2) | 10000100110001111 |
| Octal (base 8) | 204617 |
| Hexadecimal (base 16) | 1098F |
| Base 3 | 10110020220 |
| As time | 67983 seconds = 18 h 53 min 3 s |
Is 67983 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 (67983 ÷ 3 = 22661) | 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 3) | 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 67983 a prime number?
No. 67983 = 3 × 17 × 31 × 43, so it is divisible by 3.
What are the factors of 67983?
1, 3, 17, 31, 43, 51, 93, 129, 527, 731, 1333, 1581, 2193, 3999, 22661, 67983.
What is 67983 in binary?
10000100110001111 (hexadecimal 1098F, octal 204617).
What is the square root of 67983?
About 260.7355.
Is 67983 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 67983?
67983 is a happy number: repeatedly adding the squares of its digits reaches 1.