The number 838
838 is a palindrome: it reads 838 backwards too. Its prime factorisation is 2 × 419. Divisors (4): 1, 2, 419, 838.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 838: a palindrome: it reads 838 backwards too; a semiprime: 2 × 419, the product of two primes.
- 2
838 is composite. Its prime factorisation is
- 3
The divisors add up to 1260; without 838 itself that is 422, so 838 is deficient (422 is less than 838). Euler's totient φ(838) = 418 numbers up to 838 share no factor with it.
- 4
The digits of 838 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 838 = 2 \times 419 \]
838 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 1260 |
| Euler totient φ(n) | 418 |
| Square | 702244 |
| Cube | 588480472 |
| Square root | 28.948230 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 41 |
| Scientific notation | 8.38 × |
838 in other forms
| Form | Value |
|---|---|
| In words | eight hundred and thirty-eight |
| Roman numerals | DCCCXXXVIII |
| Binary (base 2) | 1101000110 |
| Octal (base 8) | 1506 |
| Hexadecimal (base 16) | 346 |
| Base 3 | 1011001 |
| As time | 838 seconds = 13 min 58 s |
Is 838 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (838 ÷ 2 = 419) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 4) | 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 1) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 838 a prime number?
No. 838 = 2 × 419, so it is divisible by 2.
What are the factors of 838?
1, 2, 419, 838.
What is 838 in binary?
1101000110 (hexadecimal 346, octal 1506).
What is the square root of 838?
About 28.9482.
What is 838 in Roman numerals?
DCCCXXXVIII.
Is 838 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 838?
838 is a palindrome: it reads 838 backwards too; a semiprime: 2 × 419, the product of two primes.