The number 67375
67375 is a composite number with 24 divisors. Its prime factorisation is × × 11. Divisors (24): 1, 5, 7, 11, 25, 35, 49, 55, 77, 125, 175, 245, 275, 385, 539, 875 … 67375.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67375 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67375 is composite. Its prime factorisation is
- 3
The divisors add up to 106704; without 67375 itself that is 39329, so 67375 is deficient (39329 is less than 67375). Euler's totient φ(67375) = 42000 numbers up to 67375 share no factor with it.
- 4
The digits of 67375 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 205 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67375 = 5^{3} \times 7^{2} \times 11 \]67375 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 106704 |
| Euler totient φ(n) | 42000 |
| Square | 4539390625 |
| Cube | 305841443359375 |
| Square root | 259.566947 (= 35√55) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 205 |
| Scientific notation | 6.7375 × |
67375 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand three hundred and seventy-five |
| Binary (base 2) | 10000011100101111 |
| Octal (base 8) | 203457 |
| Hexadecimal (base 16) | 1072F |
| Base 3 | 10102102101 |
| As time | 67375 seconds = 18 h 42 min 55 s |
Is 67375 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (67375 ÷ 5 = 13475) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (67375 ÷ 7 = 9625) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (67375 ÷ 11 = 6125) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67375 a prime number?
No. 67375 = × × 11, so it is divisible by 5.
What are the factors of 67375?
1, 5, 7, 11, 25, 35, 49, 55, 77, 125, 175, 245, 275, 385, 539, 875, 1225, 1375, 1925, 2695, 6125, 9625, 13475, 67375.
What is 67375 in binary?
10000011100101111 (hexadecimal 1072F, octal 203457).
What is the square root of 67375?
About 259.5669, exactly 35√55.
Is 67375 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 67375?
It is a composite number with 24 divisors.