The number 3378
3378 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 563. Divisors (8): 1, 2, 3, 6, 563, 1126, 1689, 3378.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3378 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3378 is composite. Its prime factorisation is
- 3
The divisors add up to 6768; without 3378 itself that is 3390, so 3378 is abundant (3390 is more than 3378). Euler's totient φ(3378) = 1124 numbers up to 3378 share no factor with it.
- 4
The digits of 3378 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 35 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3378 = 2 \times 3 \times 563 \]
3378 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 6768 |
| Euler totient φ(n) | 1124 |
| Square | 11410884 |
| Cube | 38545966152 |
| Square root | 58.120564 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 35 |
| Scientific notation | 3.378 × |
3378 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and seventy-eight |
| Roman numerals | MMMCCCLXXVIII |
| Binary (base 2) | 110100110010 |
| Octal (base 8) | 6462 |
| Hexadecimal (base 16) | D32 |
| Base 3 | 11122010 |
| As time | 3378 seconds = 56 min 18 s |
Is 3378 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3378 ÷ 2 = 1689) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3378 ÷ 3 = 1126) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (3378 ÷ 6 = 563) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 2) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3378 a prime number?
No. 3378 = 2 × 3 × 563, so it is divisible by 2.
What are the factors of 3378?
1, 2, 3, 6, 563, 1126, 1689, 3378.
What is 3378 in binary?
110100110010 (hexadecimal D32, octal 6462).
What is the square root of 3378?
About 58.1206.
What is 3378 in Roman numerals?
MMMCCCLXXVIII.
Is 3378 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 3378?
It is a composite number with 8 divisors.