The number 40023
40023 is a composite number with 6 divisors. Its prime factorisation is × 4447. Divisors (6): 1, 3, 9, 4447, 13341, 40023.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40023: a Harshad number: divisible by its digit sum 9.
- 2
40023 is composite. Its prime factorisation is
- 3
The divisors add up to 57824; without 40023 itself that is 17801, so 40023 is deficient (17801 is less than 40023). Euler's totient φ(40023) = 26676 numbers up to 40023 share no factor with it.
- 4
The digits of 40023 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 181 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40023 = 3^{2} \times 4447 \]40023 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 57824 |
| Euler totient φ(n) | 26676 |
| Square | 1601840529 |
| Cube | 64110463492167 |
| Square root | 200.057492 (= 3√4447) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 181 |
| Scientific notation | 4.0023 × |
40023 in other forms
| Form | Value |
|---|---|
| In words | forty thousand and twenty-three |
| Binary (base 2) | 1001110001010111 |
| Octal (base 8) | 116127 |
| Hexadecimal (base 16) | 9C57 |
| Base 3 | 2000220100 |
| As time | 40023 seconds = 11 h 7 min 3 s |
Is 40023 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 (40023 ÷ 3 = 13341) | 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (40023 ÷ 9 = 4447) | 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 5) | 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 40023 a prime number?
No. 40023 = × 4447, so it is divisible by 3.
What are the factors of 40023?
1, 3, 9, 4447, 13341, 40023.
What is 40023 in binary?
1001110001010111 (hexadecimal 9C57, octal 116127).
What is the square root of 40023?
About 200.0575, exactly 3√4447.
Is 40023 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 40023?
40023 is a Harshad number: divisible by its digit sum 9.