The number 33931
33931 is the 3633rd prime number. Its only divisors are 1 and 33931.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33931: the 3633rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
33931 is prime, so its only factors are 1 and 33931. It is the 3633rd prime; the next prime is 33937 and the one before is 33923.
- 3
The divisors add up to 33932; without 33931 itself that is 1, so 33931 is deficient (1 is less than 33931). Euler's totient φ(33931) = 33930 numbers up to 33931 share no factor with it.
- 4
The digits of 33931 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 59 steps to reach 1.
33931 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 33932 |
| Euler totient φ(n) | 33930 |
| Square | 1151312761 |
| Cube | 39065193293491 |
| Square root | 184.203692 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 59 |
| Scientific notation | 3.3931 × |
33931 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand nine hundred and thirty-one |
| Binary (base 2) | 1000010010001011 |
| Octal (base 8) | 102213 |
| Hexadecimal (base 16) | 848B |
| Base 3 | 1201112201 |
| As time | 33931 seconds = 9 h 25 min 31 s |
Is 33931 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 1) | 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 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33931 a prime number?
Yes. 33931 is divisible only by 1 and itself.
What are the factors of 33931?
1, 33931.
What is 33931 in binary?
1000010010001011 (hexadecimal 848B, octal 102213).
What is the square root of 33931?
About 184.2037.
Is 33931 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 33931?
33931 is the 3633rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.