The number 1201
1201 is the 197th prime number. Its only divisors are 1 and 1201.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1201: the 197th prime number.
- 2
1201 is prime, so its only factors are 1 and 1201. It is the 197th prime; the next prime is 1213 and the one before is 1193.
- 3
The divisors add up to 1202; without 1201 itself that is 1, so 1201 is deficient (1 is less than 1201). Euler's totient φ(1201) = 1200 numbers up to 1201 share no factor with it.
- 4
The digits of 1201 add up to 4, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
1201 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 1202 |
| Euler totient φ(n) | 1200 |
| Square | 1442401 |
| Cube | 1732323601 |
| Square root | 34.655447 |
| Digit sum / digital root | 4 / 4 |
| Collatz steps to 1 | 57 |
| Scientific notation | 1.201 × |
1201 in other forms
| Form | Value |
|---|---|
| In words | one thousand two hundred and one |
| Roman numerals | MCCI |
| Binary (base 2) | 10010110001 |
| Octal (base 8) | 2261 |
| Hexadecimal (base 16) | 4B1 |
| Base 3 | 1122111 |
| As time | 1201 seconds = 20 min 1 s |
Is 1201 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 | No (remainder 1) | 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 4) | 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 4) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1201 a prime number?
Yes. 1201 is divisible only by 1 and itself.
What are the factors of 1201?
1, 1201.
What is 1201 in binary?
10010110001 (hexadecimal 4B1, octal 2261).
What is the square root of 1201?
About 34.6554.
What is 1201 in Roman numerals?
MCCI.
Is 1201 divisible by 3?
No. Its digits add up to 4, which is not a multiple of 3.
What is special about the number 1201?
1201 is the 197th prime number.