The number 67208
67208 is a composite number with 16 divisors. Its prime factorisation is × 31 × 271. Divisors (16): 1, 2, 4, 8, 31, 62, 124, 248, 271, 542, 1084, 2168, 8401, 16802, 33604, 67208.
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How to work it out
- 1
67208 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67208 is composite. Its prime factorisation is
- 3
The divisors add up to 130560; without 67208 itself that is 63352, so 67208 is deficient (63352 is less than 67208). Euler's totient φ(67208) = 32400 numbers up to 67208 share no factor with it.
- 4
The digits of 67208 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67208 = 2^{3} \times 31 \times 271 \]67208 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 130560 |
| Euler totient φ(n) | 32400 |
| Square | 4516915264 |
| Cube | 303572841062912 |
| Square root | 259.245058 (= 2√16802) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.7208 × |
67208 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand two hundred and eight |
| Binary (base 2) | 10000011010001000 |
| Octal (base 8) | 203210 |
| Hexadecimal (base 16) | 10688 |
| Base 3 | 10102012012 |
| As time | 67208 seconds = 18 h 40 min 8 s |
Is 67208 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67208 ÷ 2 = 33604) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (67208 ÷ 4 = 16802) | 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 2) | 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 | Yes (67208 ÷ 8 = 8401) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67208 a prime number?
No. 67208 = × 31 × 271, so it is divisible by 2.
What are the factors of 67208?
1, 2, 4, 8, 31, 62, 124, 248, 271, 542, 1084, 2168, 8401, 16802, 33604, 67208.
What is 67208 in binary?
10000011010001000 (hexadecimal 10688, octal 203210).
What is the square root of 67208?
About 259.2451, exactly 2√16802.
Is 67208 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 67208?
It is a composite number with 16 divisors.