The number 13883
13883 is the 1641st prime number. Its only divisors are 1 and 13883.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13883: the 1641st prime number.
- 2
13883 is prime, so its only factors are 1 and 13883. It is the 1641st prime; the next prime is 13901 and the one before is 13879.
- 3
The divisors add up to 13884; without 13883 itself that is 1, so 13883 is deficient (1 is less than 13883). Euler's totient φ(13883) = 13882 numbers up to 13883 share no factor with it.
- 4
The digits of 13883 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
13883 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 13884 |
| Euler totient φ(n) | 13882 |
| Square | 192737689 |
| Cube | 2675777336387 |
| Square root | 117.826143 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 151 |
| Scientific notation | 1.3883 × |
13883 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand eight hundred and eighty-three |
| Binary (base 2) | 11011000111011 |
| Octal (base 8) | 33073 |
| Hexadecimal (base 16) | 363B |
| Base 3 | 201001012 |
| As time | 13883 seconds = 3 h 51 min 23 s |
Is 13883 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 2) | 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 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 1) | 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 13883 a prime number?
Yes. 13883 is divisible only by 1 and itself.
What are the factors of 13883?
1, 13883.
What is 13883 in binary?
11011000111011 (hexadecimal 363B, octal 33073).
What is the square root of 13883?
About 117.8261.
Is 13883 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 13883?
13883 is the 1641st prime number.