The number 1938
1938 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 17 × 19. Divisors (16): 1, 2, 3, 6, 17, 19, 34, 38, 51, 57, 102, 114, 323, 646, 969, 1938.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1938 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1938 is composite. Its prime factorisation is
- 3
The divisors add up to 4320; without 1938 itself that is 2382, so 1938 is abundant (2382 is more than 1938). Euler's totient φ(1938) = 576 numbers up to 1938 share no factor with it.
- 4
The digits of 1938 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1938 = 2 \times 3 \times 17 \times 19 \]
1938 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 4320 |
| Euler totient φ(n) | 576 |
| Square | 3755844 |
| Cube | 7278825672 |
| Square root | 44.022721 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 50 |
| Scientific notation | 1.938 × |
1938 in other forms
| Form | Value |
|---|---|
| In words | one thousand nine hundred and thirty-eight |
| Roman numerals | MCMXXXVIII |
| Binary (base 2) | 11110010010 |
| Octal (base 8) | 3622 |
| Hexadecimal (base 16) | 792 |
| Base 3 | 2122210 |
| As time | 1938 seconds = 32 min 18 s |
Is 1938 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1938 ÷ 2 = 969) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1938 ÷ 3 = 646) | 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 (1938 ÷ 6 = 323) | 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 3) | 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 2) | 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 1938 a prime number?
No. 1938 = 2 × 3 × 17 × 19, so it is divisible by 2.
What are the factors of 1938?
1, 2, 3, 6, 17, 19, 34, 38, 51, 57, 102, 114, 323, 646, 969, 1938.
What is 1938 in binary?
11110010010 (hexadecimal 792, octal 3622).
What is the square root of 1938?
About 44.0227.
What is 1938 in Roman numerals?
MCMXXXVIII.
Is 1938 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 1938?
It is a composite number with 16 divisors.