The number 2733
2733 is a composite number with 4 divisors. Its prime factorisation is 3 × 911. Divisors (4): 1, 3, 911, 2733.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2733: a semiprime: 3 × 911, the product of two primes.
- 2
2733 is composite. Its prime factorisation is
- 3
The divisors add up to 3648; without 2733 itself that is 915, so 2733 is deficient (915 is less than 2733). Euler's totient φ(2733) = 1820 numbers up to 2733 share no factor with it.
- 4
The digits of 2733 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2733 = 3 \times 911 \]
2733 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 3648 |
| Euler totient φ(n) | 1820 |
| Square | 7469289 |
| Cube | 20413566837 |
| Square root | 52.278102 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 40 |
| Scientific notation | 2.733 × |
2733 in other forms
| Form | Value |
|---|---|
| In words | two thousand seven hundred and thirty-three |
| Roman numerals | MMDCCXXXIII |
| Binary (base 2) | 101010101101 |
| Octal (base 8) | 5255 |
| Hexadecimal (base 16) | AAD |
| Base 3 | 10202020 |
| As time | 2733 seconds = 45 min 33 s |
Is 2733 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 (2733 ÷ 3 = 911) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | 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 5) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2733 a prime number?
No. 2733 = 3 × 911, so it is divisible by 3.
What are the factors of 2733?
1, 3, 911, 2733.
What is 2733 in binary?
101010101101 (hexadecimal AAD, octal 5255).
What is the square root of 2733?
About 52.2781.
What is 2733 in Roman numerals?
MMDCCXXXIII.
Is 2733 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 2733?
2733 is a semiprime: 3 × 911, the product of two primes.