The number 55025
55025 is a composite number with 12 divisors. Its prime factorisation is × 31 × 71. Divisors (12): 1, 5, 25, 31, 71, 155, 355, 775, 1775, 2201, 11005, 55025.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55025: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
55025 is composite. Its prime factorisation is
- 3
The divisors add up to 71424; without 55025 itself that is 16399, so 55025 is deficient (16399 is less than 55025). Euler's totient φ(55025) = 42000 numbers up to 55025 share no factor with it.
- 4
The digits of 55025 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55025 = 5^{2} \times 31 \times 71 \]55025 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 71424 |
| Euler totient φ(n) | 42000 |
| Square | 3027750625 |
| Cube | 166601978140625 |
| Square root | 234.574082 (= 5√2201) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.5025 × |
55025 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand and twenty-five |
| Binary (base 2) | 1101011011110001 |
| Octal (base 8) | 153361 |
| Hexadecimal (base 16) | D6F1 |
| Base 3 | 2210110222 |
| As time | 55025 seconds = 15 h 17 min 5 s |
Is 55025 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 (55025 ÷ 5 = 11005) | 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 | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 3) | 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 55025 a prime number?
No. 55025 = × 31 × 71, so it is divisible by 5.
What are the factors of 55025?
1, 5, 25, 31, 71, 155, 355, 775, 1775, 2201, 11005, 55025.
What is 55025 in binary?
1101011011110001 (hexadecimal D6F1, octal 153361).
What is the square root of 55025?
About 234.5741, exactly 5√2201.
Is 55025 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 55025?
55025 is a happy number: repeatedly adding the squares of its digits reaches 1.