The number 56225
56225 is a composite number with 12 divisors. Its prime factorisation is × 13 × 173. Divisors (12): 1, 5, 13, 25, 65, 173, 325, 865, 2249, 4325, 11245, 56225.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 56225: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
56225 is composite. Its prime factorisation is
- 3
The divisors add up to 75516; without 56225 itself that is 19291, so 56225 is deficient (19291 is less than 56225). Euler's totient φ(56225) = 41280 numbers up to 56225 share no factor with it.
- 4
The digits of 56225 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 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 56225 = 5^{2} \times 13 \times 173 \]56225 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 75516 |
| Euler totient φ(n) | 41280 |
| Square | 3161250625 |
| Cube | 177741316390625 |
| Square root | 237.118114 (= 5√2249) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 83 |
| Scientific notation | 5.6225 × |
56225 in other forms
| Form | Value |
|---|---|
| In words | fifty-six thousand two hundred and twenty-five |
| Binary (base 2) | 1101101110100001 |
| Octal (base 8) | 155641 |
| Hexadecimal (base 16) | DBA1 |
| Base 3 | 2212010102 |
| As time | 56225 seconds = 15 h 37 min 5 s |
Is 56225 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 (56225 ÷ 5 = 11245) | 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 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 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 4) | 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 56225 a prime number?
No. 56225 = × 13 × 173, so it is divisible by 5.
What are the factors of 56225?
1, 5, 13, 25, 65, 173, 325, 865, 2249, 4325, 11245, 56225.
What is 56225 in binary?
1101101110100001 (hexadecimal DBA1, octal 155641).
What is the square root of 56225?
About 237.1181, exactly 5√2249.
Is 56225 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 56225?
56225 is a happy number: repeatedly adding the squares of its digits reaches 1.