The number 3374
3374 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 241. Divisors (8): 1, 2, 7, 14, 241, 482, 1687, 3374.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3374 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3374 is composite. Its prime factorisation is
- 3
The divisors add up to 5808; without 3374 itself that is 2434, so 3374 is deficient (2434 is less than 3374). Euler's totient φ(3374) = 1440 numbers up to 3374 share no factor with it.
- 4
The digits of 3374 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3374 = 2 \times 7 \times 241 \]
3374 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 5808 |
| Euler totient φ(n) | 1440 |
| Square | 11383876 |
| Cube | 38409197624 |
| Square root | 58.086143 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 43 |
| Scientific notation | 3.374 × |
3374 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and seventy-four |
| Roman numerals | MMMCCCLXXIV |
| Binary (base 2) | 110100101110 |
| Octal (base 8) | 6456 |
| Hexadecimal (base 16) | D2E |
| Base 3 | 11121222 |
| As time | 3374 seconds = 56 min 14 s |
Is 3374 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3374 ÷ 2 = 1687) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 | Yes (3374 ÷ 7 = 482) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3374 a prime number?
No. 3374 = 2 × 7 × 241, so it is divisible by 2.
What are the factors of 3374?
1, 2, 7, 14, 241, 482, 1687, 3374.
What is 3374 in binary?
110100101110 (hexadecimal D2E, octal 6456).
What is the square root of 3374?
About 58.0861.
What is 3374 in Roman numerals?
MMMCCCLXXIV.
Is 3374 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 3374?
It is a composite number with 8 divisors.