The number 853
853 is the 147th prime number. Its only divisors are 1 and 853.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 853: the 147th prime number.
- 2
853 is prime, so its only factors are 1 and 853. It is the 147th prime; the next prime is 857 and the one before is 839.
- 3
The divisors add up to 854; without 853 itself that is 1, so 853 is deficient (1 is less than 853). Euler's totient φ(853) = 852 numbers up to 853 share no factor with it.
- 4
The digits of 853 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 15 steps to reach 1.
853 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 854 |
| Euler totient φ(n) | 852 |
| Square | 727609 |
| Cube | 620650477 |
| Square root | 29.206164 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 15 |
| Scientific notation | 8.53 × |
853 in other forms
| Form | Value |
|---|---|
| In words | eight hundred and fifty-three |
| Roman numerals | DCCCLIII |
| Binary (base 2) | 1101010101 |
| Octal (base 8) | 1525 |
| Hexadecimal (base 16) | 355 |
| Base 3 | 1011121 |
| As time | 853 seconds = 14 min 13 s |
Is 853 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 1) | 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 1) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 853 a prime number?
Yes. 853 is divisible only by 1 and itself.
What are the factors of 853?
1, 853.
What is 853 in binary?
1101010101 (hexadecimal 355, octal 1525).
What is the square root of 853?
About 29.2062.
What is 853 in Roman numerals?
DCCCLIII.
Is 853 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 853?
853 is the 147th prime number.