The number 67485
67485 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 11 × 409. Divisors (16): 1, 3, 5, 11, 15, 33, 55, 165, 409, 1227, 2045, 4499, 6135, 13497, 22495, 67485.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67485: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
67485 is composite. Its prime factorisation is
- 3
The divisors add up to 118080; without 67485 itself that is 50595, so 67485 is deficient (50595 is less than 67485). Euler's totient φ(67485) = 32640 numbers up to 67485 share no factor with it.
- 4
The digits of 67485 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67485 = 3 \times 5 \times 11 \times 409 \]
67485 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 118080 |
| Euler totient φ(n) | 32640 |
| Square | 4554225225 |
| Cube | 307341889309125 |
| Square root | 259.778752 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 60 |
| Scientific notation | 6.7485 × |
67485 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand four hundred and eighty-five |
| Binary (base 2) | 10000011110011101 |
| Octal (base 8) | 203635 |
| Hexadecimal (base 16) | 1079D |
| Base 3 | 10102120110 |
| As time | 67485 seconds = 18 h 44 min 45 s |
Is 67485 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 (67485 ÷ 3 = 22495) | 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 (67485 ÷ 5 = 13497) | 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 5) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 (67485 ÷ 11 = 6135) | 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 67485 a prime number?
No. 67485 = 3 × 5 × 11 × 409, so it is divisible by 3.
What are the factors of 67485?
1, 3, 5, 11, 15, 33, 55, 165, 409, 1227, 2045, 4499, 6135, 13497, 22495, 67485.
What is 67485 in binary?
10000011110011101 (hexadecimal 1079D, octal 203635).
What is the square root of 67485?
About 259.7788.
Is 67485 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 67485?
67485 is a happy number: repeatedly adding the squares of its digits reaches 1.