The number 8803
8803 is the 1096th prime number. Its only divisors are 1 and 8803.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8803: the 1096th prime number.
- 2
8803 is prime, so its only factors are 1 and 8803. It is the 1096th prime; the next prime is 8807 and the one before is 8783.
- 3
The divisors add up to 8804; without 8803 itself that is 1, so 8803 is deficient (1 is less than 8803). Euler's totient φ(8803) = 8802 numbers up to 8803 share no factor with it.
- 4
The digits of 8803 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
8803 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 8804 |
| Euler totient φ(n) | 8802 |
| Square | 77492809 |
| Cube | 682169197627 |
| Square root | 93.824304 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 140 |
| Scientific notation | 8.803 × |
8803 in other forms
| Form | Value |
|---|---|
| In words | eight thousand eight hundred and three |
| Binary (base 2) | 10001001100011 |
| Octal (base 8) | 21143 |
| Hexadecimal (base 16) | 2263 |
| Base 3 | 110002001 |
| As time | 8803 seconds = 2 h 26 min 43 s |
Is 8803 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 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8803 a prime number?
Yes. 8803 is divisible only by 1 and itself.
What are the factors of 8803?
1, 8803.
What is 8803 in binary?
10001001100011 (hexadecimal 2263, octal 21143).
What is the square root of 8803?
About 93.8243.
Is 8803 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 8803?
8803 is the 1096th prime number.