The number 96201
96201 is a composite number with 16 divisors. Its prime factorisation is × 7 × 509. Divisors (16): 1, 3, 7, 9, 21, 27, 63, 189, 509, 1527, 3563, 4581, 10689, 13743, 32067, 96201.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
96201 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
96201 is composite. Its prime factorisation is
- 3
The divisors add up to 163200; without 96201 itself that is 66999, so 96201 is deficient (66999 is less than 96201). Euler's totient φ(96201) = 54864 numbers up to 96201 share no factor with it.
- 4
The digits of 96201 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 177 steps to reach 1.
LaTeX source of the formulas on this page
\[ 96201 = 3^{3} \times 7 \times 509 \]96201 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 163200 |
| Euler totient φ(n) | 54864 |
| Square | 9254632401 |
| Cube | 890304891608601 |
| Square root | 310.162860 (= 3√10689) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 177 |
| Scientific notation | 9.6201 × |
96201 in other forms
| Form | Value |
|---|---|
| In words | ninety-six thousand two hundred and one |
| Binary (base 2) | 10111011111001001 |
| Octal (base 8) | 273711 |
| Hexadecimal (base 16) | 177C9 |
| Base 3 | 11212222000 |
| As time | 96201 seconds = 26 h 43 min 21 s |
Is 96201 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 (96201 ÷ 3 = 32067) | 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 | Yes (96201 ÷ 7 = 13743) | 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 | Yes (96201 ÷ 9 = 10689) | 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 6) | 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 96201 a prime number?
No. 96201 = × 7 × 509, so it is divisible by 3.
What are the factors of 96201?
1, 3, 7, 9, 21, 27, 63, 189, 509, 1527, 3563, 4581, 10689, 13743, 32067, 96201.
What is 96201 in binary?
10111011111001001 (hexadecimal 177C9, octal 273711).
What is the square root of 96201?
About 310.1629, exactly 3√10689.
Is 96201 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 96201?
It is a composite number with 16 divisors.