The number 11003
11003 is the 1336th prime number. Its only divisors are 1 and 11003.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11003: the 1336th prime number.
- 2
11003 is prime, so its only factors are 1 and 11003. It is the 1336th prime; the next prime is 11027 and the one before is 10993.
- 3
The divisors add up to 11004; without 11003 itself that is 1, so 11003 is deficient (1 is less than 11003). Euler's totient φ(11003) = 11002 numbers up to 11003 share no factor with it.
- 4
The digits of 11003 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 73 steps to reach 1.
11003 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 11004 |
| Euler totient φ(n) | 11002 |
| Square | 121066009 |
| Cube | 1332089297027 |
| Square root | 104.895186 |
| Digit sum / digital root | 5 / 5 |
| Collatz steps to 1 | 73 |
| Scientific notation | 1.1003 × |
11003 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand and three |
| Binary (base 2) | 10101011111011 |
| Octal (base 8) | 25373 |
| Hexadecimal (base 16) | 2AFB |
| Base 3 | 120002112 |
| As time | 11003 seconds = 3 h 3 min 23 s |
Is 11003 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 6) | 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 3) | 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 11003 a prime number?
Yes. 11003 is divisible only by 1 and itself.
What are the factors of 11003?
1, 11003.
What is 11003 in binary?
10101011111011 (hexadecimal 2AFB, octal 25373).
What is the square root of 11003?
About 104.8952.
Is 11003 divisible by 3?
No. Its digits add up to 5, which is not a multiple of 3.
What is special about the number 11003?
11003 is the 1336th prime number.