The number 3674
3674 is a composite number with 8 divisors. Its prime factorisation is 2 × 11 × 167. Divisors (8): 1, 2, 11, 22, 167, 334, 1837, 3674.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3674 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3674 is composite. Its prime factorisation is
- 3
The divisors add up to 6048; without 3674 itself that is 2374, so 3674 is deficient (2374 is less than 3674). Euler's totient φ(3674) = 1660 numbers up to 3674 share no factor with it.
- 4
The digits of 3674 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 131 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3674 = 2 \times 11 \times 167 \]
3674 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 6048 |
| Euler totient φ(n) | 1660 |
| Square | 13498276 |
| Cube | 49592666024 |
| Square root | 60.613530 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 131 |
| Scientific notation | 3.674 × |
3674 in other forms
| Form | Value |
|---|---|
| In words | three thousand six hundred and seventy-four |
| Roman numerals | MMMDCLXXIV |
| Binary (base 2) | 111001011010 |
| Octal (base 8) | 7132 |
| Hexadecimal (base 16) | E5A |
| Base 3 | 12001002 |
| As time | 3674 seconds = 1 h 1 min 14 s |
Is 3674 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3674 ÷ 2 = 1837) | 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 | No (remainder 6) | 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 2) | 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 | Yes (3674 ÷ 11 = 334) | 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 3674 a prime number?
No. 3674 = 2 × 11 × 167, so it is divisible by 2.
What are the factors of 3674?
1, 2, 11, 22, 167, 334, 1837, 3674.
What is 3674 in binary?
111001011010 (hexadecimal E5A, octal 7132).
What is the square root of 3674?
About 60.6135.
What is 3674 in Roman numerals?
MMMDCLXXIV.
Is 3674 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 3674?
It is a composite number with 8 divisors.