The number 3289
3289 is a composite number with 8 divisors. Its prime factorisation is 11 × 13 × 23. Divisors (8): 1, 11, 13, 23, 143, 253, 299, 3289.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3289 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3289 is composite. Its prime factorisation is
- 3
The divisors add up to 4032; without 3289 itself that is 743, so 3289 is deficient (743 is less than 3289). Euler's totient φ(3289) = 2640 numbers up to 3289 share no factor with it.
- 4
The digits of 3289 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 136 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3289 = 11 \times 13 \times 23 \]
3289 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 4032 |
| Euler totient φ(n) | 2640 |
| Square | 10817521 |
| Cube | 35578826569 |
| Square root | 57.349804 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 136 |
| Scientific notation | 3.289 × |
3289 in other forms
| Form | Value |
|---|---|
| In words | three thousand two hundred and eighty-nine |
| Roman numerals | MMMCCLXXXIX |
| Binary (base 2) | 110011011001 |
| Octal (base 8) | 6331 |
| Hexadecimal (base 16) | CD9 |
| Base 3 | 11111211 |
| As time | 3289 seconds = 54 min 49 s |
Is 3289 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 | No (remainder 1) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (3289 ÷ 11 = 299) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3289 a prime number?
No. 3289 = 11 × 13 × 23, so it is divisible by 11.
What are the factors of 3289?
1, 11, 13, 23, 143, 253, 299, 3289.
What is 3289 in binary?
110011011001 (hexadecimal CD9, octal 6331).
What is the square root of 3289?
About 57.3498.
What is 3289 in Roman numerals?
MMMCCLXXXIX.
Is 3289 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 3289?
It is a composite number with 8 divisors.