The number 12201
12201 is a composite number with 12 divisors. Its prime factorisation is 3 × × 83. Divisors (12): 1, 3, 7, 21, 49, 83, 147, 249, 581, 1743, 4067, 12201.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12201: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
12201 is composite. Its prime factorisation is
- 3
The divisors add up to 19152; without 12201 itself that is 6951, so 12201 is deficient (6951 is less than 12201). Euler's totient φ(12201) = 6888 numbers up to 12201 share no factor with it.
- 4
The digits of 12201 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12201 = 3 \times 7^{2} \times 83 \]12201 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 19152 |
| Euler totient φ(n) | 6888 |
| Square | 148864401 |
| Cube | 1816294556601 |
| Square root | 110.458137 (= 7√249) |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 94 |
| Scientific notation | 1.2201 × |
12201 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand two hundred and one |
| Binary (base 2) | 10111110101001 |
| Octal (base 8) | 27651 |
| Hexadecimal (base 16) | 2FA9 |
| Base 3 | 121201220 |
| As time | 12201 seconds = 3 h 23 min 21 s |
Is 12201 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 (12201 ÷ 3 = 4067) | 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 (12201 ÷ 7 = 1743) | 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 6) | 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 2) | 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 12201 a prime number?
No. 12201 = 3 × × 83, so it is divisible by 3.
What are the factors of 12201?
1, 3, 7, 21, 49, 83, 147, 249, 581, 1743, 4067, 12201.
What is 12201 in binary?
10111110101001 (hexadecimal 2FA9, octal 27651).
What is the square root of 12201?
About 110.4581, exactly 7√249.
Is 12201 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 12201?
12201 is a happy number: repeatedly adding the squares of its digits reaches 1.