The number 383
383 is a palindromic prime: it reads the same backwards and is prime, the 76th prime number and a palindrome: it reads 383 backwards too. Its only divisors are 1 and 383.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 383: a palindromic prime: it reads the same backwards and is prime; the 76th prime number; a palindrome: it reads 383 backwards too; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
383 is prime, so its only factors are 1 and 383. It is the 76th prime; the next prime is 389 and the one before is 379.
- 3
The divisors add up to 384; without 383 itself that is 1, so 383 is deficient (1 is less than 383). Euler's totient φ(383) = 382 numbers up to 383 share no factor with it.
- 4
The digits of 383 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
383 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 384 |
| Euler totient φ(n) | 382 |
| Square | 146689 |
| Cube | 56181887 |
| Square root | 19.570386 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 45 |
| Scientific notation | 3.83 × |
383 in other forms
| Form | Value |
|---|---|
| In words | three hundred and eighty-three |
| Roman numerals | CCCLXXXIII |
| Binary (base 2) | 101111111 |
| Octal (base 8) | 577 |
| Hexadecimal (base 16) | 17F |
| Base 3 | 112012 |
| As time | 383 seconds = 6 min 23 s |
Is 383 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 2) | 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 5) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 383 a prime number?
Yes. 383 is divisible only by 1 and itself.
What are the factors of 383?
1, 383.
What is 383 in binary?
101111111 (hexadecimal 17F, octal 577).
What is the square root of 383?
About 19.5704.
What is 383 in Roman numerals?
CCCLXXXIII.
Is 383 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 383?
383 is a palindromic prime: it reads the same backwards and is prime; the 76th prime number; a palindrome: it reads 383 backwards too; a happy number: repeatedly adding the squares of its digits reaches 1.