The number 3372
3372 is a composite number with 12 divisors. Its prime factorisation is × 3 × 281. Divisors (12): 1, 2, 3, 4, 6, 12, 281, 562, 843, 1124, 1686, 3372.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3372 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3372 is composite. Its prime factorisation is
- 3
The divisors add up to 7896; without 3372 itself that is 4524, so 3372 is abundant (4524 is more than 3372). Euler's totient φ(3372) = 1120 numbers up to 3372 share no factor with it.
- 4
The digits of 3372 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3372 = 2^{2} \times 3 \times 281 \]3372 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 7896 |
| Euler totient φ(n) | 1120 |
| Square | 11370384 |
| Cube | 38340934848 |
| Square root | 58.068925 (= 2√843) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 43 |
| Scientific notation | 3.372 × |
3372 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and seventy-two |
| Roman numerals | MMMCCCLXXII |
| Binary (base 2) | 110100101100 |
| Octal (base 8) | 6454 |
| Hexadecimal (base 16) | D2C |
| Base 3 | 11121220 |
| As time | 3372 seconds = 56 min 12 s |
Is 3372 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3372 ÷ 2 = 1686) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3372 ÷ 3 = 1124) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (3372 ÷ 4 = 843) | 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 | Yes (3372 ÷ 6 = 562) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 6) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (3372 ÷ 12 = 281) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3372 a prime number?
No. 3372 = × 3 × 281, so it is divisible by 2.
What are the factors of 3372?
1, 2, 3, 4, 6, 12, 281, 562, 843, 1124, 1686, 3372.
What is 3372 in binary?
110100101100 (hexadecimal D2C, octal 6454).
What is the square root of 3372?
About 58.0689, exactly 2√843.
What is 3372 in Roman numerals?
MMMCCCLXXII.
Is 3372 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 3372?
It is a composite number with 12 divisors.