The number 67338
67338 is a composite number with 32 divisors. Its prime factorisation is 2 × × 29 × 43. Divisors (32): 1, 2, 3, 6, 9, 18, 27, 29, 43, 54, 58, 86, 87, 129, 174, 258 … 67338.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67338: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.
- 2
67338 is composite. Its prime factorisation is
- 3
The divisors add up to 158400; without 67338 itself that is 91062, so 67338 is abundant (91062 is more than 67338). Euler's totient φ(67338) = 21168 numbers up to 67338 share no factor with it.
- 4
The digits of 67338 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 161 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67338 = 2 \times 3^{3} \times 29 \times 43 \]67338 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 158400 |
| Euler totient φ(n) | 21168 |
| Square | 4534406244 |
| Cube | 305337847658472 |
| Square root | 259.495665 (= 3√7482) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 161 |
| Scientific notation | 6.7338 × |
67338 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand three hundred and thirty-eight |
| Binary (base 2) | 10000011100001010 |
| Octal (base 8) | 203412 |
| Hexadecimal (base 16) | 1070A |
| Base 3 | 10102101000 |
| As time | 67338 seconds = 18 h 42 min 18 s |
Is 67338 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67338 ÷ 2 = 33669) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67338 ÷ 3 = 22446) | 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 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (67338 ÷ 6 = 11223) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (67338 ÷ 9 = 7482) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67338 a prime number?
No. 67338 = 2 × × 29 × 43, so it is divisible by 2.
What are the factors of 67338?
1, 2, 3, 6, 9, 18, 27, 29, 43, 54, 58, 86, 87, 129, 174, 258, 261, 387, 522, 774, 783, 1161, 1247, 1566, 2322, 2494, 3741, 7482, 11223, 22446, 33669, 67338.
What is 67338 in binary?
10000011100001010 (hexadecimal 1070A, octal 203412).
What is the square root of 67338?
About 259.4957, exactly 3√7482.
Is 67338 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 67338?
67338 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.