The number 1103
1103 is the 185th prime number. Its only divisors are 1 and 1103.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1103: the 185th prime number.
- 2
1103 is prime, so its only factors are 1 and 1103. It is the 185th prime; the next prime is 1109 and the one before is 1097.
- 3
The divisors add up to 1104; without 1103 itself that is 1, so 1103 is deficient (1 is less than 1103). Euler's totient φ(1103) = 1102 numbers up to 1103 share no factor with it.
- 4
The digits of 1103 add up to 5, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
1103 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 1104 |
| Euler totient φ(n) | 1102 |
| Square | 1216609 |
| Cube | 1341919727 |
| Square root | 33.211444 |
| Digit sum / digital root | 5 / 5 |
| Collatz steps to 1 | 44 |
| Scientific notation | 1.103 × |
1103 in other forms
| Form | Value |
|---|---|
| In words | one thousand one hundred and three |
| Roman numerals | MCIII |
| Binary (base 2) | 10001001111 |
| Octal (base 8) | 2117 |
| Hexadecimal (base 16) | 44F |
| Base 3 | 1111212 |
| As time | 1103 seconds = 18 min 23 s |
Is 1103 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1103 a prime number?
Yes. 1103 is divisible only by 1 and itself.
What are the factors of 1103?
1, 1103.
What is 1103 in binary?
10001001111 (hexadecimal 44F, octal 2117).
What is the square root of 1103?
About 33.2114.
What is 1103 in Roman numerals?
MCIII.
Is 1103 divisible by 3?
No. Its digits add up to 5, which is not a multiple of 3.
What is special about the number 1103?
1103 is the 185th prime number.