The number 40388
40388 is a composite number with 12 divisors. Its prime factorisation is × 23 × 439. Divisors (12): 1, 2, 4, 23, 46, 92, 439, 878, 1756, 10097, 20194, 40388.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40388: a Harshad number: divisible by its digit sum 23.
- 2
40388 is composite. Its prime factorisation is
- 3
The divisors add up to 73920; without 40388 itself that is 33532, so 40388 is deficient (33532 is less than 40388). Euler's totient φ(40388) = 19272 numbers up to 40388 share no factor with it.
- 4
The digits of 40388 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40388 = 2^{2} \times 23 \times 439 \]40388 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 73920 |
| Euler totient φ(n) | 19272 |
| Square | 1631190544 |
| Cube | 65880523691072 |
| Square root | 200.967659 (= 2√10097) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.0388 × |
40388 in other forms
| Form | Value |
|---|---|
| In words | forty thousand three hundred and eighty-eight |
| Binary (base 2) | 1001110111000100 |
| Octal (base 8) | 116704 |
| Hexadecimal (base 16) | 9DC4 |
| Base 3 | 2001101212 |
| As time | 40388 seconds = 11 h 13 min 8 s |
Is 40388 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40388 ÷ 2 = 20194) | 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 | Yes (40388 ÷ 4 = 10097) | 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 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40388 a prime number?
No. 40388 = × 23 × 439, so it is divisible by 2.
What are the factors of 40388?
1, 2, 4, 23, 46, 92, 439, 878, 1756, 10097, 20194, 40388.
What is 40388 in binary?
1001110111000100 (hexadecimal 9DC4, octal 116704).
What is the square root of 40388?
About 200.9677, exactly 2√10097.
Is 40388 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 40388?
40388 is a Harshad number: divisible by its digit sum 23.