The number 13933
13933 is a twin prime (13931 and 13933 are both prime) and the 1648th prime number. Its only divisors are 1 and 13933.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13933: a twin prime (13931 and 13933 are both prime); the 1648th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
13933 is prime, so its only factors are 1 and 13933. It is the 1648th prime; the next prime is 13963 and the one before is 13931.
- 3
The divisors add up to 13934; without 13933 itself that is 1, so 13933 is deficient (1 is less than 13933). Euler's totient φ(13933) = 13932 numbers up to 13933 share no factor with it.
- 4
The digits of 13933 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 89 steps to reach 1.
13933 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 13934 |
| Euler totient φ(n) | 13932 |
| Square | 194128489 |
| Cube | 2704792237237 |
| Square root | 118.038129 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 89 |
| Scientific notation | 1.3933 × |
13933 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand nine hundred and thirty-three |
| Binary (base 2) | 11011001101101 |
| Octal (base 8) | 33155 |
| Hexadecimal (base 16) | 366D |
| Base 3 | 201010001 |
| As time | 13933 seconds = 3 h 52 min 13 s |
Is 13933 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 3) | 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 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 7) | 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 13933 a prime number?
Yes. 13933 is divisible only by 1 and itself.
What are the factors of 13933?
1, 13933.
What is 13933 in binary?
11011001101101 (hexadecimal 366D, octal 33155).
What is the square root of 13933?
About 118.0381.
Is 13933 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 13933?
13933 is a twin prime (13931 and 13933 are both prime); the 1648th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.