The number 33123
33123 is a composite number with 8 divisors. Its prime factorisation is 3 × 61 × 181. Divisors (8): 1, 3, 61, 181, 183, 543, 11041, 33123.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33123: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
33123 is composite. Its prime factorisation is
- 3
The divisors add up to 45136; without 33123 itself that is 12013, so 33123 is deficient (12013 is less than 33123). Euler's totient φ(33123) = 21600 numbers up to 33123 share no factor with it.
- 4
The digits of 33123 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 160 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33123 = 3 \times 61 \times 181 \]
33123 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 45136 |
| Euler totient φ(n) | 21600 |
| Square | 1097133129 |
| Cube | 36340340631867 |
| Square root | 181.997253 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 160 |
| Scientific notation | 3.3123 × |
33123 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand one hundred and twenty-three |
| Binary (base 2) | 1000000101100011 |
| Octal (base 8) | 100543 |
| Hexadecimal (base 16) | 8163 |
| Base 3 | 1200102210 |
| As time | 33123 seconds = 9 h 12 min 3 s |
Is 33123 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 (33123 ÷ 3 = 11041) | 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 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 6) | 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 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 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33123 a prime number?
No. 33123 = 3 × 61 × 181, so it is divisible by 3.
What are the factors of 33123?
1, 3, 61, 181, 183, 543, 11041, 33123.
What is 33123 in binary?
1000000101100011 (hexadecimal 8163, octal 100543).
What is the square root of 33123?
About 181.9973.
Is 33123 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 33123?
33123 is a happy number: repeatedly adding the squares of its digits reaches 1.