The number 3273
3273 is a composite number with 4 divisors. Its prime factorisation is 3 × 1091. Divisors (4): 1, 3, 1091, 3273.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3273: a semiprime: 3 × 1091, the product of two primes.
- 2
3273 is composite. Its prime factorisation is
- 3
The divisors add up to 4368; without 3273 itself that is 1095, so 3273 is deficient (1095 is less than 3273). Euler's totient φ(3273) = 2180 numbers up to 3273 share no factor with it.
- 4
The digits of 3273 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 136 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3273 = 3 \times 1091 \]
3273 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 4368 |
| Euler totient φ(n) | 2180 |
| Square | 10712529 |
| Cube | 35062107417 |
| Square root | 57.210139 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 136 |
| Scientific notation | 3.273 × |
3273 in other forms
| Form | Value |
|---|---|
| In words | three thousand two hundred and seventy-three |
| Roman numerals | MMMCCLXXIII |
| Binary (base 2) | 110011001001 |
| Octal (base 8) | 6311 |
| Hexadecimal (base 16) | CC9 |
| Base 3 | 11111020 |
| As time | 3273 seconds = 54 min 33 s |
Is 3273 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 (3273 ÷ 3 = 1091) | 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 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 1) | 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 6) | 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 3273 a prime number?
No. 3273 = 3 × 1091, so it is divisible by 3.
What are the factors of 3273?
1, 3, 1091, 3273.
What is 3273 in binary?
110011001001 (hexadecimal CC9, octal 6311).
What is the square root of 3273?
About 57.2101.
What is 3273 in Roman numerals?
MMMCCLXXIII.
Is 3273 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 3273?
3273 is a semiprime: 3 × 1091, the product of two primes.