The number 90025
90025 is a composite number with 12 divisors. Its prime factorisation is × 13 × 277. Divisors (12): 1, 5, 13, 25, 65, 277, 325, 1385, 3601, 6925, 18005, 90025.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
90025 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
90025 is composite. Its prime factorisation is
- 3
The divisors add up to 120652; without 90025 itself that is 30627, so 90025 is deficient (30627 is less than 90025). Euler's totient φ(90025) = 66240 numbers up to 90025 share no factor with it.
- 4
The digits of 90025 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 90025 = 5^{2} \times 13 \times 277 \]90025 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 120652 |
| Euler totient φ(n) | 66240 |
| Square | 8104500625 |
| Cube | 729607668765625 |
| Square root | 300.041664 (= 5√3601) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 89 |
| Scientific notation | 9.0025 × |
90025 in other forms
| Form | Value |
|---|---|
| In words | ninety thousand and twenty-five |
| Binary (base 2) | 10101111110101001 |
| Octal (base 8) | 257651 |
| Hexadecimal (base 16) | 15FA9 |
| Base 3 | 11120111021 |
| As time | 90025 seconds = 25 h 0 min 25 s |
Is 90025 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 (90025 ÷ 5 = 18005) | 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 5) | 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 7) | 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 1) | 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 90025 a prime number?
No. 90025 = × 13 × 277, so it is divisible by 5.
What are the factors of 90025?
1, 5, 13, 25, 65, 277, 325, 1385, 3601, 6925, 18005, 90025.
What is 90025 in binary?
10101111110101001 (hexadecimal 15FA9, octal 257651).
What is the square root of 90025?
About 300.0417, exactly 5√3601.
Is 90025 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 90025?
It is a composite number with 12 divisors.