The number 31033
31033 is the 3343rd prime number. Its only divisors are 1 and 31033.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31033: the 3343rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
31033 is prime, so its only factors are 1 and 31033. It is the 3343rd prime; the next prime is 31039 and the one before is 31019.
- 3
The divisors add up to 31034; without 31033 itself that is 1, so 31033 is deficient (1 is less than 31033). Euler's totient φ(31033) = 31032 numbers up to 31033 share no factor with it.
- 4
The digits of 31033 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 85 steps to reach 1.
31033 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 31034 |
| Euler totient φ(n) | 31032 |
| Square | 963047089 |
| Cube | 29886240312937 |
| Square root | 176.161857 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.1033 × |
31033 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand and thirty-three |
| Binary (base 2) | 111100100111001 |
| Octal (base 8) | 74471 |
| Hexadecimal (base 16) | 7939 |
| Base 3 | 1120120101 |
| As time | 31033 seconds = 8 h 37 min 13 s |
Is 31033 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 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 1) | 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 2) | 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 31033 a prime number?
Yes. 31033 is divisible only by 1 and itself.
What are the factors of 31033?
1, 31033.
What is 31033 in binary?
111100100111001 (hexadecimal 7939, octal 74471).
What is the square root of 31033?
About 176.1619.
Is 31033 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 31033?
31033 is the 3343rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.