The number 4025
4025 is a composite number with 12 divisors. Its prime factorisation is × 7 × 23. Divisors (12): 1, 5, 7, 23, 25, 35, 115, 161, 175, 575, 805, 4025.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4025 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4025 is composite. Its prime factorisation is
- 3
The divisors add up to 5952; without 4025 itself that is 1927, so 4025 is deficient (1927 is less than 4025). Euler's totient φ(4025) = 2640 numbers up to 4025 share no factor with it.
- 4
The digits of 4025 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 69 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4025 = 5^{2} \times 7 \times 23 \]4025 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 5952 |
| Euler totient φ(n) | 2640 |
| Square | 16200625 |
| Cube | 65207515625 |
| Square root | 63.442888 (= 5√161) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 69 |
| Scientific notation | 4.025 × |
4025 in other forms
| Form | Value |
|---|---|
| In words | four thousand and twenty-five |
| Binary (base 2) | 111110111001 |
| Octal (base 8) | 7671 |
| Hexadecimal (base 16) | FB9 |
| Base 3 | 12112002 |
| As time | 4025 seconds = 1 h 7 min 5 s |
Is 4025 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 (4025 ÷ 5 = 805) | 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 | Yes (4025 ÷ 7 = 575) | 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 10) | 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 4025 a prime number?
No. 4025 = × 7 × 23, so it is divisible by 5.
What are the factors of 4025?
1, 5, 7, 23, 25, 35, 115, 161, 175, 575, 805, 4025.
What is 4025 in binary?
111110111001 (hexadecimal FB9, octal 7671).
What is the square root of 4025?
About 63.4429, exactly 5√161.
Is 4025 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 4025?
It is a composite number with 12 divisors.