The number 67809
67809 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 3229. Divisors (8): 1, 3, 7, 21, 3229, 9687, 22603, 67809.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67809: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
67809 is composite. Its prime factorisation is
- 3
The divisors add up to 103360; without 67809 itself that is 35551, so 67809 is deficient (35551 is less than 67809). Euler's totient φ(67809) = 38736 numbers up to 67809 share no factor with it.
- 4
The digits of 67809 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 205 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67809 = 3 \times 7 \times 3229 \]
67809 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 103360 |
| Euler totient φ(n) | 38736 |
| Square | 4598060481 |
| Cube | 311789883156129 |
| Square root | 260.401613 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 205 |
| Scientific notation | 6.7809 × |
67809 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand eight hundred and nine |
| Binary (base 2) | 10000100011100001 |
| Octal (base 8) | 204341 |
| Hexadecimal (base 16) | 108E1 |
| Base 3 | 10110000110 |
| As time | 67809 seconds = 18 h 50 min 9 s |
Is 67809 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 (67809 ÷ 3 = 22603) | 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 4) | 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 (67809 ÷ 7 = 9687) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67809 a prime number?
No. 67809 = 3 × 7 × 3229, so it is divisible by 3.
What are the factors of 67809?
1, 3, 7, 21, 3229, 9687, 22603, 67809.
What is 67809 in binary?
10000100011100001 (hexadecimal 108E1, octal 204341).
What is the square root of 67809?
About 260.4016.
Is 67809 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 67809?
67809 is a happy number: repeatedly adding the squares of its digits reaches 1.