The number 883
883 is a twin prime (881 and 883 are both prime) and the 153rd prime number. Its only divisors are 1 and 883.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 883: a twin prime (881 and 883 are both prime); the 153rd prime number.
- 2
883 is prime, so its only factors are 1 and 883. It is the 153rd prime; the next prime is 887 and the one before is 881.
- 3
The divisors add up to 884; without 883 itself that is 1, so 883 is deficient (1 is less than 883). Euler's totient φ(883) = 882 numbers up to 883 share no factor with it.
- 4
The digits of 883 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 28 steps to reach 1.
883 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 884 |
| Euler totient φ(n) | 882 |
| Square | 779689 |
| Cube | 688465387 |
| Square root | 29.715316 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 28 |
| Scientific notation | 8.83 × |
883 in other forms
| Form | Value |
|---|---|
| In words | eight hundred and eighty-three |
| Roman numerals | DCCCLXXXIII |
| Binary (base 2) | 1101110011 |
| Octal (base 8) | 1563 |
| Hexadecimal (base 16) | 373 |
| Base 3 | 1012201 |
| As time | 883 seconds = 14 min 43 s |
Is 883 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 3) | 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 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 | No (remainder 3) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 883 a prime number?
Yes. 883 is divisible only by 1 and itself.
What are the factors of 883?
1, 883.
What is 883 in binary?
1101110011 (hexadecimal 373, octal 1563).
What is the square root of 883?
About 29.7153.
What is 883 in Roman numerals?
DCCCLXXXIII.
Is 883 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 883?
883 is a twin prime (881 and 883 are both prime); the 153rd prime number.