The number 3272
3272 is a composite number with 8 divisors. Its prime factorisation is × 409. Divisors (8): 1, 2, 4, 8, 409, 818, 1636, 3272.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3272 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3272 is composite. Its prime factorisation is
- 3
The divisors add up to 6150; without 3272 itself that is 2878, so 3272 is deficient (2878 is less than 3272). Euler's totient φ(3272) = 1632 numbers up to 3272 share no factor with it.
- 4
The digits of 3272 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3272 = 2^{3} \times 409 \]3272 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 6150 |
| Euler totient φ(n) | 1632 |
| Square | 10705984 |
| Cube | 35029979648 |
| Square root | 57.201399 (= 2√818) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 43 |
| Scientific notation | 3.272 × |
3272 in other forms
| Form | Value |
|---|---|
| In words | three thousand two hundred and seventy-two |
| Roman numerals | MMMCCLXXII |
| Binary (base 2) | 110011001000 |
| Octal (base 8) | 6310 |
| Hexadecimal (base 16) | CC8 |
| Base 3 | 11111012 |
| As time | 3272 seconds = 54 min 32 s |
Is 3272 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3272 ÷ 2 = 1636) | 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 (3272 ÷ 4 = 818) | 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 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 (3272 ÷ 8 = 409) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 | No (remainder 5) | 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 3272 a prime number?
No. 3272 = × 409, so it is divisible by 2.
What are the factors of 3272?
1, 2, 4, 8, 409, 818, 1636, 3272.
What is 3272 in binary?
110011001000 (hexadecimal CC8, octal 6310).
What is the square root of 3272?
About 57.2014, exactly 2√818.
What is 3272 in Roman numerals?
MMMCCLXXII.
Is 3272 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 3272?
It is a composite number with 8 divisors.