The number 3678
3678 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 613. Divisors (8): 1, 2, 3, 6, 613, 1226, 1839, 3678.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3678 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3678 is composite. Its prime factorisation is
- 3
The divisors add up to 7368; without 3678 itself that is 3690, so 3678 is abundant (3690 is more than 3678). Euler's totient φ(3678) = 1224 numbers up to 3678 share no factor with it.
- 4
The digits of 3678 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 162 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3678 = 2 \times 3 \times 613 \]
3678 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 7368 |
| Euler totient φ(n) | 1224 |
| Square | 13527684 |
| Cube | 49754821752 |
| Square root | 60.646517 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 162 |
| Scientific notation | 3.678 × |
3678 in other forms
| Form | Value |
|---|---|
| In words | three thousand six hundred and seventy-eight |
| Roman numerals | MMMDCLXXVIII |
| Binary (base 2) | 111001011110 |
| Octal (base 8) | 7136 |
| Hexadecimal (base 16) | E5E |
| Base 3 | 12001020 |
| As time | 3678 seconds = 1 h 1 min 18 s |
Is 3678 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3678 ÷ 2 = 1839) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3678 ÷ 3 = 1226) | 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 (3678 ÷ 6 = 613) | 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 | No (remainder 6) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 3678 a prime number?
No. 3678 = 2 × 3 × 613, so it is divisible by 2.
What are the factors of 3678?
1, 2, 3, 6, 613, 1226, 1839, 3678.
What is 3678 in binary?
111001011110 (hexadecimal E5E, octal 7136).
What is the square root of 3678?
About 60.6465.
What is 3678 in Roman numerals?
MMMDCLXXVIII.
Is 3678 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 3678?
It is a composite number with 8 divisors.