The number 3212
3212 is a composite number with 12 divisors. Its prime factorisation is × 11 × 73. Divisors (12): 1, 2, 4, 11, 22, 44, 73, 146, 292, 803, 1606, 3212.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3212 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3212 is composite. Its prime factorisation is
- 3
The divisors add up to 6216; without 3212 itself that is 3004, so 3212 is deficient (3004 is less than 3212). Euler's totient φ(3212) = 1440 numbers up to 3212 share no factor with it.
- 4
The digits of 3212 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 22 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3212 = 2^{2} \times 11 \times 73 \]3212 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 6216 |
| Euler totient φ(n) | 1440 |
| Square | 10316944 |
| Cube | 33138024128 |
| Square root | 56.674509 (= 2√803) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 22 |
| Scientific notation | 3.212 × |
3212 in other forms
| Form | Value |
|---|---|
| In words | three thousand two hundred and twelve |
| Roman numerals | MMMCCXII |
| Binary (base 2) | 110010001100 |
| Octal (base 8) | 6214 |
| Hexadecimal (base 16) | C8C |
| Base 3 | 11101222 |
| As time | 3212 seconds = 53 min 32 s |
Is 3212 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3212 ÷ 2 = 1606) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (3212 ÷ 4 = 803) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (3212 ÷ 11 = 292) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3212 a prime number?
No. 3212 = × 11 × 73, so it is divisible by 2.
What are the factors of 3212?
1, 2, 4, 11, 22, 44, 73, 146, 292, 803, 1606, 3212.
What is 3212 in binary?
110010001100 (hexadecimal C8C, octal 6214).
What is the square root of 3212?
About 56.6745, exactly 2√803.
What is 3212 in Roman numerals?
MMMCCXII.
Is 3212 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 3212?
It is a composite number with 12 divisors.