The number 67750
67750 is a composite number with 16 divisors. Its prime factorisation is 2 × × 271. Divisors (16): 1, 2, 5, 10, 25, 50, 125, 250, 271, 542, 1355, 2710, 6775, 13550, 33875, 67750.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67750: a Harshad number: divisible by its digit sum 25.
- 2
67750 is composite. Its prime factorisation is
- 3
The divisors add up to 127296; without 67750 itself that is 59546, so 67750 is deficient (59546 is less than 67750). Euler's totient φ(67750) = 27000 numbers up to 67750 share no factor with it.
- 4
The digits of 67750 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 148 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67750 = 2 \times 5^{3} \times 271 \]67750 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 127296 |
| Euler totient φ(n) | 27000 |
| Square | 4590062500 |
| Cube | 310976734375000 |
| Square root | 260.288302 (= 5√2710) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 148 |
| Scientific notation | 6.775 × |
67750 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand seven hundred and fifty |
| Binary (base 2) | 10000100010100110 |
| Octal (base 8) | 204246 |
| Hexadecimal (base 16) | 108A6 |
| Base 3 | 10102221021 |
| As time | 67750 seconds = 18 h 49 min 10 s |
Is 67750 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67750 ÷ 2 = 33875) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (67750 ÷ 5 = 13550) | 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 4) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (67750 ÷ 10 = 6775) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67750 a prime number?
No. 67750 = 2 × × 271, so it is divisible by 2.
What are the factors of 67750?
1, 2, 5, 10, 25, 50, 125, 250, 271, 542, 1355, 2710, 6775, 13550, 33875, 67750.
What is 67750 in binary?
10000100010100110 (hexadecimal 108A6, octal 204246).
What is the square root of 67750?
About 260.2883, exactly 5√2710.
Is 67750 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 67750?
67750 is a Harshad number: divisible by its digit sum 25.