The number 11149
11149 is the 1350th prime number. Its only divisors are 1 and 11149.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11149: the 1350th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
11149 is prime, so its only factors are 1 and 11149. It is the 1350th prime; the next prime is 11159 and the one before is 11131.
- 3
The divisors add up to 11150; without 11149 itself that is 1, so 11149 is deficient (1 is less than 11149). Euler's totient φ(11149) = 11148 numbers up to 11149 share no factor with it.
- 4
The digits of 11149 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
11149 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 11150 |
| Euler totient φ(n) | 11148 |
| Square | 124300201 |
| Cube | 1385822940949 |
| Square root | 105.588825 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 37 |
| Scientific notation | 1.1149 × |
11149 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand one hundred and forty-nine |
| Binary (base 2) | 10101110001101 |
| Octal (base 8) | 25615 |
| Hexadecimal (base 16) | 2B8D |
| Base 3 | 120021221 |
| As time | 11149 seconds = 3 h 5 min 49 s |
Is 11149 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 4) | 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 5) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11149 a prime number?
Yes. 11149 is divisible only by 1 and itself.
What are the factors of 11149?
1, 11149.
What is 11149 in binary?
10101110001101 (hexadecimal 2B8D, octal 25615).
What is the square root of 11149?
About 105.5888.
Is 11149 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 11149?
11149 is the 1350th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.