The number 67025
67025 is a composite number with 12 divisors. Its prime factorisation is × 7 × 383. Divisors (12): 1, 5, 7, 25, 35, 175, 383, 1915, 2681, 9575, 13405, 67025.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67025 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67025 is composite. Its prime factorisation is
- 3
The divisors add up to 95232; without 67025 itself that is 28207, so 67025 is deficient (28207 is less than 67025). Euler's totient φ(67025) = 45840 numbers up to 67025 share no factor with it.
- 4
The digits of 67025 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 161 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67025 = 5^{2} \times 7 \times 383 \]67025 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 95232 |
| Euler totient φ(n) | 45840 |
| Square | 4492350625 |
| Cube | 301099800640625 |
| Square root | 258.891869 (= 5√2681) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 161 |
| Scientific notation | 6.7025 × |
67025 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand and twenty-five |
| Binary (base 2) | 10000010111010001 |
| Octal (base 8) | 202721 |
| Hexadecimal (base 16) | 105D1 |
| Base 3 | 10101221102 |
| As time | 67025 seconds = 18 h 37 min 5 s |
Is 67025 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 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (67025 ÷ 5 = 13405) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (67025 ÷ 7 = 9575) | 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 1) | 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 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67025 a prime number?
No. 67025 = × 7 × 383, so it is divisible by 5.
What are the factors of 67025?
1, 5, 7, 25, 35, 175, 383, 1915, 2681, 9575, 13405, 67025.
What is 67025 in binary?
10000010111010001 (hexadecimal 105D1, octal 202721).
What is the square root of 67025?
About 258.8919, exactly 5√2681.
Is 67025 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 67025?
It is a composite number with 12 divisors.