The number 23033
23033 is a composite number with 4 divisors. Its prime factorisation is 31 × 743. Divisors (4): 1, 31, 743, 23033.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 23033: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 31 × 743, the product of two primes.
- 2
23033 is composite. Its prime factorisation is
- 3
The divisors add up to 23808; without 23033 itself that is 775, so 23033 is deficient (775 is less than 23033). Euler's totient φ(23033) = 22260 numbers up to 23033 share no factor with it.
- 4
The digits of 23033 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 131 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23033 = 31 \times 743 \]
23033 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 23808 |
| Euler totient φ(n) | 22260 |
| Square | 530519089 |
| Cube | 12219446176937 |
| Square root | 151.766268 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 131 |
| Scientific notation | 2.3033 × |
23033 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand and thirty-three |
| Binary (base 2) | 101100111111001 |
| Octal (base 8) | 54771 |
| Hexadecimal (base 16) | 59F9 |
| Base 3 | 1011121002 |
| As time | 23033 seconds = 6 h 23 min 53 s |
Is 23033 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 3) | 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 2) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23033 a prime number?
No. 23033 = 31 × 743, so it is divisible by 31.
What are the factors of 23033?
1, 31, 743, 23033.
What is 23033 in binary?
101100111111001 (hexadecimal 59F9, octal 54771).
What is the square root of 23033?
About 151.7663.
Is 23033 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 23033?
23033 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 31 × 743, the product of two primes.