The number 1803
1803 is a composite number with 4 divisors. Its prime factorisation is 3 × 601. Divisors (4): 1, 3, 601, 1803.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1803: a semiprime: 3 × 601, the product of two primes.
- 2
1803 is composite. Its prime factorisation is
- 3
The divisors add up to 2408; without 1803 itself that is 605, so 1803 is deficient (605 is less than 1803). Euler's totient φ(1803) = 1200 numbers up to 1803 share no factor with it.
- 4
The digits of 1803 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1803 = 3 \times 601 \]
1803 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 2408 |
| Euler totient φ(n) | 1200 |
| Square | 3250809 |
| Cube | 5861208627 |
| Square root | 42.461747 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 42 |
| Scientific notation | 1.803 × |
1803 in other forms
| Form | Value |
|---|---|
| In words | one thousand eight hundred and three |
| Roman numerals | MDCCCIII |
| Binary (base 2) | 11100001011 |
| Octal (base 8) | 3413 |
| Hexadecimal (base 16) | 70B |
| Base 3 | 2110210 |
| As time | 1803 seconds = 30 min 3 s |
Is 1803 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 | Yes (1803 ÷ 3 = 601) | 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 3) | 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 3) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1803 a prime number?
No. 1803 = 3 × 601, so it is divisible by 3.
What are the factors of 1803?
1, 3, 601, 1803.
What is 1803 in binary?
11100001011 (hexadecimal 70B, octal 3413).
What is the square root of 1803?
About 42.4617.
What is 1803 in Roman numerals?
MDCCCIII.
Is 1803 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 1803?
1803 is a semiprime: 3 × 601, the product of two primes.