The number 3294
3294 is a composite number with 16 divisors. Its prime factorisation is 2 × × 61. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 61, 122, 183, 366, 549, 1098, 1647, 3294.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3294: a Harshad number: divisible by its digit sum 18.
- 2
3294 is composite. Its prime factorisation is
- 3
The divisors add up to 7440; without 3294 itself that is 4146, so 3294 is abundant (4146 is more than 3294). Euler's totient φ(3294) = 1080 numbers up to 3294 share no factor with it.
- 4
The digits of 3294 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 136 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3294 = 2 \times 3^{3} \times 61 \]3294 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 7440 |
| Euler totient φ(n) | 1080 |
| Square | 10850436 |
| Cube | 35741336184 |
| Square root | 57.393379 (= 3√366) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 136 |
| Scientific notation | 3.294 × |
3294 in other forms
| Form | Value |
|---|---|
| In words | three thousand two hundred and ninety-four |
| Roman numerals | MMMCCXCIV |
| Binary (base 2) | 110011011110 |
| Octal (base 8) | 6336 |
| Hexadecimal (base 16) | CDE |
| Base 3 | 11112000 |
| As time | 3294 seconds = 54 min 54 s |
Is 3294 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3294 ÷ 2 = 1647) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3294 ÷ 3 = 1098) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (3294 ÷ 6 = 549) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (3294 ÷ 9 = 366) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3294 a prime number?
No. 3294 = 2 × × 61, so it is divisible by 2.
What are the factors of 3294?
1, 2, 3, 6, 9, 18, 27, 54, 61, 122, 183, 366, 549, 1098, 1647, 3294.
What is 3294 in binary?
110011011110 (hexadecimal CDE, octal 6336).
What is the square root of 3294?
About 57.3934, exactly 3√366.
What is 3294 in Roman numerals?
MMMCCXCIV.
Is 3294 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 3294?
3294 is a Harshad number: divisible by its digit sum 18.