The number 3938
3938 is a composite number with 8 divisors. Its prime factorisation is 2 × 11 × 179. Divisors (8): 1, 2, 11, 22, 179, 358, 1969, 3938.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3938 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3938 is composite. Its prime factorisation is
- 3
The divisors add up to 6480; without 3938 itself that is 2542, so 3938 is deficient (2542 is less than 3938). Euler's totient φ(3938) = 1780 numbers up to 3938 share no factor with it.
- 4
The digits of 3938 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 25 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3938 = 2 \times 11 \times 179 \]
3938 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 6480 |
| Euler totient φ(n) | 1780 |
| Square | 15507844 |
| Cube | 61069889672 |
| Square root | 62.753486 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 25 |
| Scientific notation | 3.938 × |
3938 in other forms
| Form | Value |
|---|---|
| In words | three thousand nine hundred and thirty-eight |
| Roman numerals | MMMCMXXXVIII |
| Binary (base 2) | 111101100010 |
| Octal (base 8) | 7542 |
| Hexadecimal (base 16) | F62 |
| Base 3 | 12101212 |
| As time | 3938 seconds = 1 h 5 min 38 s |
Is 3938 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3938 ÷ 2 = 1969) | 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 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 5) | 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 | Yes (3938 ÷ 11 = 358) | 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 3938 a prime number?
No. 3938 = 2 × 11 × 179, so it is divisible by 2.
What are the factors of 3938?
1, 2, 11, 22, 179, 358, 1969, 3938.
What is 3938 in binary?
111101100010 (hexadecimal F62, octal 7542).
What is the square root of 3938?
About 62.7535.
What is 3938 in Roman numerals?
MMMCMXXXVIII.
Is 3938 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 3938?
It is a composite number with 8 divisors.