The number 5025
5025 is a composite number with 12 divisors. Its prime factorisation is 3 × × 67. Divisors (12): 1, 3, 5, 15, 25, 67, 75, 201, 335, 1005, 1675, 5025.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5025 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5025 is composite. Its prime factorisation is
- 3
The divisors add up to 8432; without 5025 itself that is 3407, so 5025 is deficient (3407 is less than 5025). Euler's totient φ(5025) = 2640 numbers up to 5025 share no factor with it.
- 4
The digits of 5025 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5025 = 3 \times 5^{2} \times 67 \]5025 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 8432 |
| Euler totient φ(n) | 2640 |
| Square | 25250625 |
| Cube | 126884390625 |
| Square root | 70.887234 (= 5√201) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 116 |
| Scientific notation | 5.025 × |
5025 in other forms
| Form | Value |
|---|---|
| In words | five thousand and twenty-five |
| Binary (base 2) | 1001110100001 |
| Octal (base 8) | 11641 |
| Hexadecimal (base 16) | 13A1 |
| Base 3 | 20220010 |
| As time | 5025 seconds = 1 h 23 min 45 s |
Is 5025 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 | Yes (5025 ÷ 3 = 1675) | 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 (5025 ÷ 5 = 1005) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 3) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5025 a prime number?
No. 5025 = 3 × × 67, so it is divisible by 3.
What are the factors of 5025?
1, 3, 5, 15, 25, 67, 75, 201, 335, 1005, 1675, 5025.
What is 5025 in binary?
1001110100001 (hexadecimal 13A1, octal 11641).
What is the square root of 5025?
About 70.8872, exactly 5√201.
Is 5025 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 5025?
It is a composite number with 12 divisors.