The number 67880
67880 is a composite number with 16 divisors. Its prime factorisation is × 5 × 1697. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 1697, 3394, 6788, 8485, 13576, 16970, 33940, 67880.
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How to work it out
- 1
67880 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67880 is composite. Its prime factorisation is
- 3
The divisors add up to 152820; without 67880 itself that is 84940, so 67880 is abundant (84940 is more than 67880). Euler's totient φ(67880) = 27136 numbers up to 67880 share no factor with it.
- 4
The digits of 67880 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67880 = 2^{3} \times 5 \times 1697 \]67880 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 152820 |
| Euler totient φ(n) | 27136 |
| Square | 4607694400 |
| Cube | 312770295872000 |
| Square root | 260.537905 (= 2√16970) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 112 |
| Scientific notation | 6.788 × |
67880 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand eight hundred and eighty |
| Binary (base 2) | 10000100100101000 |
| Octal (base 8) | 204450 |
| Hexadecimal (base 16) | 10928 |
| Base 3 | 10110010002 |
| As time | 67880 seconds = 18 h 51 min 20 s |
Is 67880 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67880 ÷ 2 = 33940) | 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 (67880 ÷ 4 = 16970) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (67880 ÷ 5 = 13576) | 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 (67880 ÷ 8 = 8485) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (67880 ÷ 10 = 6788) | 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 67880 a prime number?
No. 67880 = × 5 × 1697, so it is divisible by 2.
What are the factors of 67880?
1, 2, 4, 5, 8, 10, 20, 40, 1697, 3394, 6788, 8485, 13576, 16970, 33940, 67880.
What is 67880 in binary?
10000100100101000 (hexadecimal 10928, octal 204450).
What is the square root of 67880?
About 260.5379, exactly 2√16970.
Is 67880 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 67880?
It is a composite number with 16 divisors.