The number 3216
3216 is a composite number with 20 divisors. Its prime factorisation is × 3 × 67. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 67, 134, 201, 268, 402, 536 … 3216.
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How to work it out
- 1
What is special about 3216: a Harshad number: divisible by its digit sum 12.
- 2
3216 is composite. Its prime factorisation is
- 3
The divisors add up to 8432; without 3216 itself that is 5216, so 3216 is abundant (5216 is more than 3216). Euler's totient φ(3216) = 1056 numbers up to 3216 share no factor with it.
- 4
The digits of 3216 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 22 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3216 = 2^{4} \times 3 \times 67 \]3216 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 8432 |
| Euler totient φ(n) | 1056 |
| Square | 10342656 |
| Cube | 33261981696 |
| Square root | 56.709788 (= 4√201) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 22 |
| Scientific notation | 3.216 × |
3216 in other forms
| Form | Value |
|---|---|
| In words | three thousand two hundred and sixteen |
| Roman numerals | MMMCCXVI |
| Binary (base 2) | 110010010000 |
| Octal (base 8) | 6220 |
| Hexadecimal (base 16) | C90 |
| Base 3 | 11102010 |
| As time | 3216 seconds = 53 min 36 s |
Is 3216 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3216 ÷ 2 = 1608) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3216 ÷ 3 = 1072) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (3216 ÷ 4 = 804) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (3216 ÷ 6 = 536) | 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 | Yes (3216 ÷ 8 = 402) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (3216 ÷ 12 = 268) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3216 a prime number?
No. 3216 = × 3 × 67, so it is divisible by 2.
What are the factors of 3216?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 67, 134, 201, 268, 402, 536, 804, 1072, 1608, 3216.
What is 3216 in binary?
110010010000 (hexadecimal C90, octal 6220).
What is the square root of 3216?
About 56.7098, exactly 4√201.
What is 3216 in Roman numerals?
MMMCCXVI.
Is 3216 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 3216?
3216 is a Harshad number: divisible by its digit sum 12.