The number 67220
67220 is a composite number with 12 divisors. Its prime factorisation is × 5 × 3361. Divisors (12): 1, 2, 4, 5, 10, 20, 3361, 6722, 13444, 16805, 33610, 67220.
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How to work it out
- 1
67220 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67220 is composite. Its prime factorisation is
- 3
The divisors add up to 141204; without 67220 itself that is 73984, so 67220 is abundant (73984 is more than 67220). Euler's totient φ(67220) = 26880 numbers up to 67220 share no factor with it.
- 4
The digits of 67220 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67220 = 2^{2} \times 5 \times 3361 \]67220 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 141204 |
| Euler totient φ(n) | 26880 |
| Square | 4518528400 |
| Cube | 303735479048000 |
| Square root | 259.268201 (= 2√16805) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.722 × |
67220 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand two hundred and twenty |
| Binary (base 2) | 10000011010010100 |
| Octal (base 8) | 203224 |
| Hexadecimal (base 16) | 10694 |
| Base 3 | 10102012122 |
| As time | 67220 seconds = 18 h 40 min 20 s |
Is 67220 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67220 ÷ 2 = 33610) | 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 (67220 ÷ 4 = 16805) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (67220 ÷ 5 = 13444) | 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 6) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (67220 ÷ 10 = 6722) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67220 a prime number?
No. 67220 = × 5 × 3361, so it is divisible by 2.
What are the factors of 67220?
1, 2, 4, 5, 10, 20, 3361, 6722, 13444, 16805, 33610, 67220.
What is 67220 in binary?
10000011010010100 (hexadecimal 10694, octal 203224).
What is the square root of 67220?
About 259.2682, exactly 2√16805.
Is 67220 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 67220?
It is a composite number with 12 divisors.