The number 23133
23133 is a composite number with 8 divisors. Its prime factorisation is 3 × 11 × 701. Divisors (8): 1, 3, 11, 33, 701, 2103, 7711, 23133.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 23133: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
23133 is composite. Its prime factorisation is
- 3
The divisors add up to 33696; without 23133 itself that is 10563, so 23133 is deficient (10563 is less than 23133). Euler's totient φ(23133) = 14000 numbers up to 23133 share no factor with it.
- 4
The digits of 23133 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 51 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23133 = 3 \times 11 \times 701 \]
23133 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 33696 |
| Euler totient φ(n) | 14000 |
| Square | 535135689 |
| Cube | 12379293893637 |
| Square root | 152.095365 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 51 |
| Scientific notation | 2.3133 × |
23133 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand one hundred and thirty-three |
| Binary (base 2) | 101101001011101 |
| Octal (base 8) | 55135 |
| Hexadecimal (base 16) | 5A5D |
| Base 3 | 1011201210 |
| As time | 23133 seconds = 6 h 25 min 33 s |
Is 23133 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 | Yes (23133 ÷ 3 = 7711) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 3) | 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 | Yes (23133 ÷ 11 = 2103) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23133 a prime number?
No. 23133 = 3 × 11 × 701, so it is divisible by 3.
What are the factors of 23133?
1, 3, 11, 33, 701, 2103, 7711, 23133.
What is 23133 in binary?
101101001011101 (hexadecimal 5A5D, octal 55135).
What is the square root of 23133?
About 152.0954.
Is 23133 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 23133?
23133 is a happy number: repeatedly adding the squares of its digits reaches 1.