The number 90201
90201 is a composite number with 8 divisors. Its prime factorisation is 3 × 107 × 281. Divisors (8): 1, 3, 107, 281, 321, 843, 30067, 90201.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 90201: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
90201 is composite. Its prime factorisation is
- 3
The divisors add up to 121824; without 90201 itself that is 31623, so 90201 is deficient (31623 is less than 90201). Euler's totient φ(90201) = 59360 numbers up to 90201 share no factor with it.
- 4
The digits of 90201 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 208 steps to reach 1.
LaTeX source of the formulas on this page
\[ 90201 = 3 \times 107 \times 281 \]
90201 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 121824 |
| Euler totient φ(n) | 59360 |
| Square | 8136220401 |
| Cube | 733895216390601 |
| Square root | 300.334813 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 208 |
| Scientific notation | 9.0201 × |
90201 in other forms
| Form | Value |
|---|---|
| In words | ninety thousand two hundred and one |
| Binary (base 2) | 10110000001011001 |
| Octal (base 8) | 260131 |
| Hexadecimal (base 16) | 16059 |
| Base 3 | 11120201210 |
| As time | 90201 seconds = 25 h 3 min 21 s |
Is 90201 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 (90201 ÷ 3 = 30067) | 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 | No (remainder 1) | 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 1) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 90201 a prime number?
No. 90201 = 3 × 107 × 281, so it is divisible by 3.
What are the factors of 90201?
1, 3, 107, 281, 321, 843, 30067, 90201.
What is 90201 in binary?
10110000001011001 (hexadecimal 16059, octal 260131).
What is the square root of 90201?
About 300.3348.
Is 90201 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 90201?
90201 is a happy number: repeatedly adding the squares of its digits reaches 1.