The number 67330
67330 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 6733. Divisors (8): 1, 2, 5, 10, 6733, 13466, 33665, 67330.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67330: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
67330 is composite. Its prime factorisation is
- 3
The divisors add up to 121212; without 67330 itself that is 53882, so 67330 is deficient (53882 is less than 67330). Euler's totient φ(67330) = 26928 numbers up to 67330 share no factor with it.
- 4
The digits of 67330 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67330 = 2 \times 5 \times 6733 \]
67330 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 121212 |
| Euler totient φ(n) | 26928 |
| Square | 4533328900 |
| Cube | 305229034837000 |
| Square root | 259.480250 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.733 × |
67330 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand three hundred and thirty |
| Binary (base 2) | 10000011100000010 |
| Octal (base 8) | 203402 |
| Hexadecimal (base 16) | 10702 |
| Base 3 | 10102100201 |
| As time | 67330 seconds = 18 h 42 min 10 s |
Is 67330 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67330 ÷ 2 = 33665) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (67330 ÷ 5 = 13466) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (67330 ÷ 10 = 6733) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67330 a prime number?
No. 67330 = 2 × 5 × 6733, so it is divisible by 2.
What are the factors of 67330?
1, 2, 5, 10, 6733, 13466, 33665, 67330.
What is 67330 in binary?
10000011100000010 (hexadecimal 10702, octal 203402).
What is the square root of 67330?
About 259.4802.
Is 67330 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 67330?
67330 is a happy number: repeatedly adding the squares of its digits reaches 1.