The number 67425
67425 is a composite number with 24 divisors. Its prime factorisation is 3 × × 29 × 31. Divisors (24): 1, 3, 5, 15, 25, 29, 31, 75, 87, 93, 145, 155, 435, 465, 725, 775 … 67425.
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How to work it out
- 1
What is special about 67425: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
67425 is composite. Its prime factorisation is
- 3
The divisors add up to 119040; without 67425 itself that is 51615, so 67425 is deficient (51615 is less than 67425). Euler's totient φ(67425) = 33600 numbers up to 67425 share no factor with it.
- 4
The digits of 67425 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 161 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67425 = 3 \times 5^{2} \times 29 \times 31 \]67425 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 119040 |
| Euler totient φ(n) | 33600 |
| Square | 4546130625 |
| Cube | 306522857390625 |
| Square root | 259.663243 (= 5√2697) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 161 |
| Scientific notation | 6.7425 × |
67425 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand four hundred and twenty-five |
| Binary (base 2) | 10000011101100001 |
| Octal (base 8) | 203541 |
| Hexadecimal (base 16) | 10761 |
| Base 3 | 10102111020 |
| As time | 67425 seconds = 18 h 43 min 45 s |
Is 67425 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 | Yes (67425 ÷ 3 = 22475) | 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 (67425 ÷ 5 = 13485) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67425 a prime number?
No. 67425 = 3 × × 29 × 31, so it is divisible by 3.
What are the factors of 67425?
1, 3, 5, 15, 25, 29, 31, 75, 87, 93, 145, 155, 435, 465, 725, 775, 899, 2175, 2325, 2697, 4495, 13485, 22475, 67425.
What is 67425 in binary?
10000011101100001 (hexadecimal 10761, octal 203541).
What is the square root of 67425?
About 259.6632, exactly 5√2697.
Is 67425 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 67425?
67425 is a happy number: repeatedly adding the squares of its digits reaches 1.