The number 51025
51025 is a composite number with 12 divisors. Its prime factorisation is × 13 × 157. Divisors (12): 1, 5, 13, 25, 65, 157, 325, 785, 2041, 3925, 10205, 51025.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 51025: a Harshad number: divisible by its digit sum 13.
- 2
51025 is composite. Its prime factorisation is
- 3
The divisors add up to 68572; without 51025 itself that is 17547, so 51025 is deficient (17547 is less than 51025). Euler's totient φ(51025) = 37440 numbers up to 51025 share no factor with it.
- 4
The digits of 51025 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 51025 = 5^{2} \times 13 \times 157 \]51025 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 68572 |
| Euler totient φ(n) | 37440 |
| Square | 2603550625 |
| Cube | 132846170640625 |
| Square root | 225.887140 (= 5√2041) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 83 |
| Scientific notation | 5.1025 × |
51025 in other forms
| Form | Value |
|---|---|
| In words | fifty-one thousand and twenty-five |
| Binary (base 2) | 1100011101010001 |
| Octal (base 8) | 143521 |
| Hexadecimal (base 16) | C751 |
| Base 3 | 2120222211 |
| As time | 51025 seconds = 14 h 10 min 25 s |
Is 51025 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 1) | 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 (51025 ÷ 5 = 10205) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 4) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 51025 a prime number?
No. 51025 = × 13 × 157, so it is divisible by 5.
What are the factors of 51025?
1, 5, 13, 25, 65, 157, 325, 785, 2041, 3925, 10205, 51025.
What is 51025 in binary?
1100011101010001 (hexadecimal C751, octal 143521).
What is the square root of 51025?
About 225.8871, exactly 5√2041.
Is 51025 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 51025?
51025 is a Harshad number: divisible by its digit sum 13.