The number 852
852 is a composite number with 12 divisors. Its prime factorisation is × 3 × 71. Divisors (12): 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
852 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
852 is composite. Its prime factorisation is
- 3
The divisors add up to 2016; without 852 itself that is 1164, so 852 is abundant (1164 is more than 852). Euler's totient φ(852) = 280 numbers up to 852 share no factor with it.
- 4
The digits of 852 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 15 steps to reach 1.
LaTeX source of the formulas on this page
\[ 852 = 2^{2} \times 3 \times 71 \]852 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 2016 |
| Euler totient φ(n) | 280 |
| Square | 725904 |
| Cube | 618470208 |
| Square root | 29.189039 (= 2√213) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 15 |
| Scientific notation | 8.52 × |
852 in other forms
| Form | Value |
|---|---|
| In words | eight hundred and fifty-two |
| Roman numerals | DCCCLII |
| Binary (base 2) | 1101010100 |
| Octal (base 8) | 1524 |
| Hexadecimal (base 16) | 354 |
| Base 3 | 1011120 |
| As time | 852 seconds = 14 min 12 s |
Is 852 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (852 ÷ 2 = 426) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (852 ÷ 3 = 284) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (852 ÷ 4 = 213) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (852 ÷ 6 = 142) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (852 ÷ 12 = 71) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 852 a prime number?
No. 852 = × 3 × 71, so it is divisible by 2.
What are the factors of 852?
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852.
What is 852 in binary?
1101010100 (hexadecimal 354, octal 1524).
What is the square root of 852?
About 29.1890, exactly 2√213.
What is 852 in Roman numerals?
DCCCLII.
Is 852 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 852?
It is a composite number with 12 divisors.