The number 1361
1361 is the 218th prime number. Its only divisors are 1 and 1361.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1361: the 218th prime number.
- 2
1361 is prime, so its only factors are 1 and 1361. It is the 218th prime; the next prime is 1367 and the one before is 1327.
- 3
The divisors add up to 1362; without 1361 itself that is 1, so 1361 is deficient (1 is less than 1361). Euler's totient φ(1361) = 1360 numbers up to 1361 share no factor with it.
- 4
The digits of 1361 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
1361 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 1362 |
| Euler totient φ(n) | 1360 |
| Square | 1852321 |
| Cube | 2521008881 |
| Square root | 36.891733 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 52 |
| Scientific notation | 1.361 × |
1361 in other forms
| Form | Value |
|---|---|
| In words | one thousand three hundred and sixty-one |
| Roman numerals | MCCCLXI |
| Binary (base 2) | 10101010001 |
| Octal (base 8) | 2521 |
| Hexadecimal (base 16) | 551 |
| Base 3 | 1212102 |
| As time | 1361 seconds = 22 min 41 s |
Is 1361 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 | No (remainder 1) | 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 | No (remainder 3) | 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 2) | 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 8) | 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 1361 a prime number?
Yes. 1361 is divisible only by 1 and itself.
What are the factors of 1361?
1, 1361.
What is 1361 in binary?
10101010001 (hexadecimal 551, octal 2521).
What is the square root of 1361?
About 36.8917.
What is 1361 in Roman numerals?
MCCCLXI.
Is 1361 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 1361?
1361 is the 218th prime number.