The number 67893
67893 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 53 × 61. Divisors (16): 1, 3, 7, 21, 53, 61, 159, 183, 371, 427, 1113, 1281, 3233, 9699, 22631, 67893.
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How to work it out
- 1
What is special about 67893: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
67893 is composite. Its prime factorisation is
- 3
The divisors add up to 107136; without 67893 itself that is 39243, so 67893 is deficient (39243 is less than 67893). Euler's totient φ(67893) = 37440 numbers up to 67893 share no factor with it.
- 4
The digits of 67893 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 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67893 = 3 \times 7 \times 53 \times 61 \]
67893 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 107136 |
| Euler totient φ(n) | 37440 |
| Square | 4609459449 |
| Cube | 312950030370957 |
| Square root | 260.562852 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 112 |
| Scientific notation | 6.7893 × |
67893 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand eight hundred and ninety-three |
| Binary (base 2) | 10000100100110101 |
| Octal (base 8) | 204465 |
| Hexadecimal (base 16) | 10935 |
| Base 3 | 10110010120 |
| As time | 67893 seconds = 18 h 51 min 33 s |
Is 67893 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 (67893 ÷ 3 = 22631) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 | Yes (67893 ÷ 7 = 9699) | 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 5) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67893 a prime number?
No. 67893 = 3 × 7 × 53 × 61, so it is divisible by 3.
What are the factors of 67893?
1, 3, 7, 21, 53, 61, 159, 183, 371, 427, 1113, 1281, 3233, 9699, 22631, 67893.
What is 67893 in binary?
10000100100110101 (hexadecimal 10935, octal 204465).
What is the square root of 67893?
About 260.5629.
Is 67893 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 67893?
67893 is a happy number: repeatedly adding the squares of its digits reaches 1.