The number 40052
40052 is a composite number with 24 divisors. Its prime factorisation is × 17 × 19 × 31. Divisors (24): 1, 2, 4, 17, 19, 31, 34, 38, 62, 68, 76, 124, 323, 527, 589, 646 … 40052.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40052 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40052 is composite. Its prime factorisation is
- 3
The divisors add up to 80640; without 40052 itself that is 40588, so 40052 is abundant (40588 is more than 40052). Euler's totient φ(40052) = 17280 numbers up to 40052 share no factor with it.
- 4
The digits of 40052 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 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40052 = 2^{2} \times 17 \times 19 \times 31 \]40052 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 80640 |
| Euler totient φ(n) | 17280 |
| Square | 1604162704 |
| Cube | 64249924620608 |
| Square root | 200.129958 (= 2√10013) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 67 |
| Scientific notation | 4.0052 × |
40052 in other forms
| Form | Value |
|---|---|
| In words | forty thousand and fifty-two |
| Binary (base 2) | 1001110001110100 |
| Octal (base 8) | 116164 |
| Hexadecimal (base 16) | 9C74 |
| Base 3 | 2000221102 |
| As time | 40052 seconds = 11 h 7 min 32 s |
Is 40052 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40052 ÷ 2 = 20026) | 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 (40052 ÷ 4 = 10013) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 40052 a prime number?
No. 40052 = × 17 × 19 × 31, so it is divisible by 2.
What are the factors of 40052?
1, 2, 4, 17, 19, 31, 34, 38, 62, 68, 76, 124, 323, 527, 589, 646, 1054, 1178, 1292, 2108, 2356, 10013, 20026, 40052.
What is 40052 in binary?
1001110001110100 (hexadecimal 9C74, octal 116164).
What is the square root of 40052?
About 200.1300, exactly 2√10013.
Is 40052 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 40052?
It is a composite number with 24 divisors.