The number 67089
67089 is a composite number with 16 divisors. Its prime factorisation is 3 × 11 × 19 × 107. Divisors (16): 1, 3, 11, 19, 33, 57, 107, 209, 321, 627, 1177, 2033, 3531, 6099, 22363, 67089.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67089: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
67089 is composite. Its prime factorisation is
- 3
The divisors add up to 103680; without 67089 itself that is 36591, so 67089 is deficient (36591 is less than 67089). Euler's totient φ(67089) = 38160 numbers up to 67089 share no factor with it.
- 4
The digits of 67089 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 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67089 = 3 \times 11 \times 19 \times 107 \]
67089 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 103680 |
| Euler totient φ(n) | 38160 |
| Square | 4500933921 |
| Cube | 301963155825969 |
| Square root | 259.015444 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.7089 × |
67089 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand and eighty-nine |
| Binary (base 2) | 10000011000010001 |
| Octal (base 8) | 203021 |
| Hexadecimal (base 16) | 10611 |
| Base 3 | 10102000210 |
| As time | 67089 seconds = 18 h 38 min 9 s |
Is 67089 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 (67089 ÷ 3 = 22363) | 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 | 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 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 | Yes (67089 ÷ 11 = 6099) | 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 67089 a prime number?
No. 67089 = 3 × 11 × 19 × 107, so it is divisible by 3.
What are the factors of 67089?
1, 3, 11, 19, 33, 57, 107, 209, 321, 627, 1177, 2033, 3531, 6099, 22363, 67089.
What is 67089 in binary?
10000011000010001 (hexadecimal 10611, octal 203021).
What is the square root of 67089?
About 259.0154.
Is 67089 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 67089?
67089 is a happy number: repeatedly adding the squares of its digits reaches 1.