The number 3638
3638 is a composite number with 8 divisors. Its prime factorisation is 2 × 17 × 107. Divisors (8): 1, 2, 17, 34, 107, 214, 1819, 3638.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3638 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3638 is composite. Its prime factorisation is
- 3
The divisors add up to 5832; without 3638 itself that is 2194, so 3638 is deficient (2194 is less than 3638). Euler's totient φ(3638) = 1696 numbers up to 3638 share no factor with it.
- 4
The digits of 3638 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 162 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3638 = 2 \times 17 \times 107 \]
3638 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 5832 |
| Euler totient φ(n) | 1696 |
| Square | 13235044 |
| Cube | 48149090072 |
| Square root | 60.315835 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 162 |
| Scientific notation | 3.638 × |
3638 in other forms
| Form | Value |
|---|---|
| In words | three thousand six hundred and thirty-eight |
| Roman numerals | MMMDCXXXVIII |
| Binary (base 2) | 111000110110 |
| Octal (base 8) | 7066 |
| Hexadecimal (base 16) | E36 |
| Base 3 | 11222202 |
| As time | 3638 seconds = 1 h 0 min 38 s |
Is 3638 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3638 ÷ 2 = 1819) | 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 3) | 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 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 6) | 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 8) | 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 3638 a prime number?
No. 3638 = 2 × 17 × 107, so it is divisible by 2.
What are the factors of 3638?
1, 2, 17, 34, 107, 214, 1819, 3638.
What is 3638 in binary?
111000110110 (hexadecimal E36, octal 7066).
What is the square root of 3638?
About 60.3158.
What is 3638 in Roman numerals?
MMMDCXXXVIII.
Is 3638 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 3638?
It is a composite number with 8 divisors.