The number 2133
2133 is a composite number with 8 divisors. Its prime factorisation is × 79. Divisors (8): 1, 3, 9, 27, 79, 237, 711, 2133.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2133: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.
- 2
2133 is composite. Its prime factorisation is
- 3
The divisors add up to 3200; without 2133 itself that is 1067, so 2133 is deficient (1067 is less than 2133). Euler's totient φ(2133) = 1404 numbers up to 2133 share no factor with it.
- 4
The digits of 2133 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2133 = 3^{3} \times 79 \]2133 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 3200 |
| Euler totient φ(n) | 1404 |
| Square | 4549689 |
| Cube | 9704486637 |
| Square root | 46.184413 (= 3√237) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 32 |
| Scientific notation | 2.133 × |
2133 in other forms
| Form | Value |
|---|---|
| In words | two thousand one hundred and thirty-three |
| Roman numerals | MMCXXXIII |
| Binary (base 2) | 100001010101 |
| Octal (base 8) | 4125 |
| Hexadecimal (base 16) | 855 |
| Base 3 | 2221000 |
| As time | 2133 seconds = 35 min 33 s |
Is 2133 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 (2133 ÷ 3 = 711) | 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 | Yes (2133 ÷ 9 = 237) | 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 10) | 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 2133 a prime number?
No. 2133 = × 79, so it is divisible by 3.
What are the factors of 2133?
1, 3, 9, 27, 79, 237, 711, 2133.
What is 2133 in binary?
100001010101 (hexadecimal 855, octal 4125).
What is the square root of 2133?
About 46.1844, exactly 3√237.
What is 2133 in Roman numerals?
MMCXXXIII.
Is 2133 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 2133?
2133 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.