The number 1025
1025 is a binary palindrome (10000000001). Its prime factorisation is Ć 41. Divisors (6): 1, 5, 25, 41, 205, 1025.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1025: a binary palindrome (10000000001).
- 2
1025 is composite. Its prime factorisation is
- 3
The divisors add up to 1302; without 1025 itself that is 277, so 1025 is deficient (277 is less than 1025). Euler's totient Ļ(1025) = 800 numbers up to 1025 share no factor with it.
- 4
The digits of 1025 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1025 = 5^{2} \times 41 \]1025 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 1302 |
| Euler totient Ļ(n) | 800 |
| Square | 1050625 |
| Cube | 1076890625 |
| Square root | 32.015621 (= 5ā41) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 36 |
| Scientific notation | 1.025 Ć |
1025 in other forms
| Form | Value |
|---|---|
| In words | one thousand and twenty-five |
| Roman numerals | MXXV |
| Binary (base 2) | 10000000001 |
| Octal (base 8) | 2001 |
| Hexadecimal (base 16) | 401 |
| Base 3 | 1101222 |
| As time | 1025 seconds = 17 min 5 s |
Is 1025 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 (1025 Ć· 5 = 205) | 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 3) | 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 2) | 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 1025 a prime number?
No. 1025 = Ć 41, so it is divisible by 5.
What are the factors of 1025?
1, 5, 25, 41, 205, 1025.
What is 1025 in binary?
10000000001 (hexadecimal 401, octal 2001).
What is the square root of 1025?
About 32.0156, exactly 5ā41.
What is 1025 in Roman numerals?
MXXV.
Is 1025 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 1025?
1025 is a binary palindrome (10000000001).