The number 36003
36003 is a composite number with 8 divisors. Its prime factorisation is 3 × 11 × 1091. Divisors (8): 1, 3, 11, 33, 1091, 3273, 12001, 36003.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
36003 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
36003 is composite. Its prime factorisation is
- 3
The divisors add up to 52416; without 36003 itself that is 16413, so 36003 is deficient (16413 is less than 36003). Euler's totient φ(36003) = 21800 numbers up to 36003 share no factor with it.
- 4
The digits of 36003 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 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36003 = 3 \times 11 \times 1091 \]
36003 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 52416 |
| Euler totient φ(n) | 21800 |
| Square | 1296216009 |
| Cube | 46667664972027 |
| Square root | 189.744565 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.6003 × |
36003 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand and three |
| Binary (base 2) | 1000110010100011 |
| Octal (base 8) | 106243 |
| Hexadecimal (base 16) | 8CA3 |
| Base 3 | 1211101110 |
| As time | 36003 seconds = 10 h 0 min 3 s |
Is 36003 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 (36003 ÷ 3 = 12001) | 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 2) | 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 | Yes (36003 ÷ 11 = 3273) | 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 36003 a prime number?
No. 36003 = 3 × 11 × 1091, so it is divisible by 3.
What are the factors of 36003?
1, 3, 11, 33, 1091, 3273, 12001, 36003.
What is 36003 in binary?
1000110010100011 (hexadecimal 8CA3, octal 106243).
What is the square root of 36003?
About 189.7446.
Is 36003 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 36003?
It is a composite number with 8 divisors.