The number 90125
90125 is a binary palindrome (10110000000001101). Its prime factorisation is × 7 × 103. Divisors (16): 1, 5, 7, 25, 35, 103, 125, 175, 515, 721, 875, 2575, 3605, 12875, 18025, 90125.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 90125: a binary palindrome (10110000000001101).
- 2
90125 is composite. Its prime factorisation is
- 3
The divisors add up to 129792; without 90125 itself that is 39667, so 90125 is deficient (39667 is less than 90125). Euler's totient φ(90125) = 61200 numbers up to 90125 share no factor with it.
- 4
The digits of 90125 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 90125 = 5^{3} \times 7 \times 103 \]90125 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 129792 |
| Euler totient φ(n) | 61200 |
| Square | 8122515625 |
| Cube | 732041720703125 |
| Square root | 300.208261 (= 5√3605) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 63 |
| Scientific notation | 9.0125 × |
90125 in other forms
| Form | Value |
|---|---|
| In words | ninety thousand one hundred and twenty-five |
| Binary (base 2) | 10110000000001101 |
| Octal (base 8) | 260015 |
| Hexadecimal (base 16) | 1600D |
| Base 3 | 11120121222 |
| As time | 90125 seconds = 25 h 2 min 5 s |
Is 90125 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 (90125 ÷ 5 = 18025) | 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 (90125 ÷ 7 = 12875) | 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 5) | 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 90125 a prime number?
No. 90125 = × 7 × 103, so it is divisible by 5.
What are the factors of 90125?
1, 5, 7, 25, 35, 103, 125, 175, 515, 721, 875, 2575, 3605, 12875, 18025, 90125.
What is 90125 in binary?
10110000000001101 (hexadecimal 1600D, octal 260015).
What is the square root of 90125?
About 300.2083, exactly 5√3605.
Is 90125 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 90125?
90125 is a binary palindrome (10110000000001101).