The number 1203
1203 is a composite number with 4 divisors. Its prime factorisation is 3 × 401. Divisors (4): 1, 3, 401, 1203.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1203: a semiprime: 3 × 401, the product of two primes.
- 2
1203 is composite. Its prime factorisation is
- 3
The divisors add up to 1608; without 1203 itself that is 405, so 1203 is deficient (405 is less than 1203). Euler's totient φ(1203) = 800 numbers up to 1203 share no factor with it.
- 4
The digits of 1203 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1203 = 3 \times 401 \]
1203 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 1608 |
| Euler totient φ(n) | 800 |
| Square | 1447209 |
| Cube | 1740992427 |
| Square root | 34.684290 |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 57 |
| Scientific notation | 1.203 × |
1203 in other forms
| Form | Value |
|---|---|
| In words | one thousand two hundred and three |
| Roman numerals | MCCIII |
| Binary (base 2) | 10010110011 |
| Octal (base 8) | 2263 |
| Hexadecimal (base 16) | 4B3 |
| Base 3 | 1122120 |
| As time | 1203 seconds = 20 min 3 s |
Is 1203 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 (1203 ÷ 3 = 401) | 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 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 6) | 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 4) | 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 1203 a prime number?
No. 1203 = 3 × 401, so it is divisible by 3.
What are the factors of 1203?
1, 3, 401, 1203.
What is 1203 in binary?
10010110011 (hexadecimal 4B3, octal 2263).
What is the square root of 1203?
About 34.6843.
What is 1203 in Roman numerals?
MCCIII.
Is 1203 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 1203?
1203 is a semiprime: 3 × 401, the product of two primes.