The number 848
848 is a palindrome: it reads 848 backwards too. Its prime factorisation is × 53. Divisors (10): 1, 2, 4, 8, 16, 53, 106, 212, 424, 848.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 848: a palindrome: it reads 848 backwards too.
- 2
848 is composite. Its prime factorisation is
- 3
The divisors add up to 1674; without 848 itself that is 826, so 848 is deficient (826 is less than 848). Euler's totient φ(848) = 416 numbers up to 848 share no factor with it.
- 4
The digits of 848 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 15 steps to reach 1.
LaTeX source of the formulas on this page
\[ 848 = 2^{4} \times 53 \]848 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 1674 |
| Euler totient φ(n) | 416 |
| Square | 719104 |
| Cube | 609800192 |
| Square root | 29.120440 (= 4√53) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 15 |
| Scientific notation | 8.48 × |
848 in other forms
| Form | Value |
|---|---|
| In words | eight hundred and forty-eight |
| Roman numerals | DCCCXLVIII |
| Binary (base 2) | 1101010000 |
| Octal (base 8) | 1520 |
| Hexadecimal (base 16) | 350 |
| Base 3 | 1011102 |
| As time | 848 seconds = 14 min 8 s |
Is 848 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (848 ÷ 2 = 424) | 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 | Yes (848 ÷ 4 = 212) | 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 1) | 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 | Yes (848 ÷ 8 = 106) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 848 a prime number?
No. 848 = × 53, so it is divisible by 2.
What are the factors of 848?
1, 2, 4, 8, 16, 53, 106, 212, 424, 848.
What is 848 in binary?
1101010000 (hexadecimal 350, octal 1520).
What is the square root of 848?
About 29.1204, exactly 4√53.
What is 848 in Roman numerals?
DCCCXLVIII.
Is 848 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 848?
848 is a palindrome: it reads 848 backwards too.