The number 67720
67720 is a composite number with 16 divisors. Its prime factorisation is × 5 × 1693. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 1693, 3386, 6772, 8465, 13544, 16930, 33860, 67720.
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How to work it out
- 1
67720 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67720 is composite. Its prime factorisation is
- 3
The divisors add up to 152460; without 67720 itself that is 84740, so 67720 is abundant (84740 is more than 67720). Euler's totient φ(67720) = 27072 numbers up to 67720 share no factor with it.
- 4
The digits of 67720 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67720 = 2^{3} \times 5 \times 1693 \]67720 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 152460 |
| Euler totient φ(n) | 27072 |
| Square | 4585998400 |
| Cube | 310563811648000 |
| Square root | 260.230667 (= 2√16930) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.772 × |
67720 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand seven hundred and twenty |
| Binary (base 2) | 10000100010001000 |
| Octal (base 8) | 204210 |
| Hexadecimal (base 16) | 10888 |
| Base 3 | 10102220011 |
| As time | 67720 seconds = 18 h 48 min 40 s |
Is 67720 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67720 ÷ 2 = 33860) | 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 | Yes (67720 ÷ 4 = 16930) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (67720 ÷ 5 = 13544) | 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 2) | 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 (67720 ÷ 8 = 8465) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (67720 ÷ 10 = 6772) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67720 a prime number?
No. 67720 = × 5 × 1693, so it is divisible by 2.
What are the factors of 67720?
1, 2, 4, 5, 8, 10, 20, 40, 1693, 3386, 6772, 8465, 13544, 16930, 33860, 67720.
What is 67720 in binary?
10000100010001000 (hexadecimal 10888, octal 204210).
What is the square root of 67720?
About 260.2307, exactly 2√16930.
Is 67720 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 67720?
It is a composite number with 16 divisors.