The number 3276
3276 is a composite number with 36 divisors. Its prime factorisation is × × 7 × 13. Divisors (36): 1, 2, 3, 4, 6, 7, 9, 12, 13, 14, 18, 21, 26, 28, 36, 39 … 3276.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3276: a Harshad number: divisible by its digit sum 18.
- 2
3276 is composite. Its prime factorisation is
- 3
The divisors add up to 10192; without 3276 itself that is 6916, so 3276 is abundant (6916 is more than 3276). Euler's totient φ(3276) = 864 numbers up to 3276 share no factor with it.
- 4
The digits of 3276 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 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3276 = 2^{2} \times 3^{2} \times 7 \times 13 \]3276 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 10192 |
| Euler totient φ(n) | 864 |
| Square | 10732176 |
| Cube | 35158608576 |
| Square root | 57.236352 (= 6√91) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 43 |
| Scientific notation | 3.276 × |
3276 in other forms
| Form | Value |
|---|---|
| In words | three thousand two hundred and seventy-six |
| Roman numerals | MMMCCLXXVI |
| Binary (base 2) | 110011001100 |
| Octal (base 8) | 6314 |
| Hexadecimal (base 16) | CCC |
| Base 3 | 11111100 |
| As time | 3276 seconds = 54 min 36 s |
Is 3276 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3276 ÷ 2 = 1638) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3276 ÷ 3 = 1092) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (3276 ÷ 4 = 819) | 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 (3276 ÷ 6 = 546) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (3276 ÷ 7 = 468) | 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 | Yes (3276 ÷ 9 = 364) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (3276 ÷ 12 = 273) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3276 a prime number?
No. 3276 = × × 7 × 13, so it is divisible by 2.
What are the factors of 3276?
1, 2, 3, 4, 6, 7, 9, 12, 13, 14, 18, 21, 26, 28, 36, 39, 42, 52, 63, 78, 84, 91, 117, 126, 156, 182, 234, 252, 273, 364, 468, 546, 819, 1092, 1638, 3276.
What is 3276 in binary?
110011001100 (hexadecimal CCC, octal 6314).
What is the square root of 3276?
About 57.2364, exactly 6√91.
What is 3276 in Roman numerals?
MMMCCLXXVI.
Is 3276 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 3276?
3276 is a Harshad number: divisible by its digit sum 18.