The number 10133
10133 is the 1243rd prime number. Its only divisors are 1 and 10133.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10133: the 1243rd prime number.
- 2
10133 is prime, so its only factors are 1 and 10133. It is the 1243rd prime; the next prime is 10139 and the one before is 10111.
- 3
The divisors add up to 10134; without 10133 itself that is 1, so 10133 is deficient (1 is less than 10133). Euler's totient φ(10133) = 10132 numbers up to 10133 share no factor with it.
- 4
The digits of 10133 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
10133 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 10134 |
| Euler totient φ(n) | 10132 |
| Square | 102677689 |
| Cube | 1040433022637 |
| Square root | 100.662803 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 34 |
| Scientific notation | 1.0133 × |
10133 in other forms
| Form | Value |
|---|---|
| In words | ten thousand one hundred and thirty-three |
| Binary (base 2) | 10011110010101 |
| Octal (base 8) | 23625 |
| Hexadecimal (base 16) | 2795 |
| Base 3 | 111220022 |
| As time | 10133 seconds = 2 h 48 min 53 s |
Is 10133 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 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 8) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10133 a prime number?
Yes. 10133 is divisible only by 1 and itself.
What are the factors of 10133?
1, 10133.
What is 10133 in binary?
10011110010101 (hexadecimal 2795, octal 23625).
What is the square root of 10133?
About 100.6628.
Is 10133 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 10133?
10133 is the 1243rd prime number.