The number 40508
40508 is a composite number with 24 divisors. Its prime factorisation is × 13 × 19 × 41. Divisors (24): 1, 2, 4, 13, 19, 26, 38, 41, 52, 76, 82, 164, 247, 494, 533, 779 … 40508.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40508 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40508 is composite. Its prime factorisation is
- 3
The divisors add up to 82320; without 40508 itself that is 41812, so 40508 is abundant (41812 is more than 40508). Euler's totient φ(40508) = 17280 numbers up to 40508 share no factor with it.
- 4
The digits of 40508 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40508 = 2^{2} \times 13 \times 19 \times 41 \]40508 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 82320 |
| Euler totient φ(n) | 17280 |
| Square | 1640898064 |
| Cube | 66469498776512 |
| Square root | 201.265993 (= 2√10127) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 137 |
| Scientific notation | 4.0508 × |
40508 in other forms
| Form | Value |
|---|---|
| In words | forty thousand five hundred and eight |
| Binary (base 2) | 1001111000111100 |
| Octal (base 8) | 117074 |
| Hexadecimal (base 16) | 9E3C |
| Base 3 | 2001120022 |
| As time | 40508 seconds = 11 h 15 min 8 s |
Is 40508 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40508 ÷ 2 = 20254) | 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 (40508 ÷ 4 = 10127) | 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 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 6) | 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 40508 a prime number?
No. 40508 = × 13 × 19 × 41, so it is divisible by 2.
What are the factors of 40508?
1, 2, 4, 13, 19, 26, 38, 41, 52, 76, 82, 164, 247, 494, 533, 779, 988, 1066, 1558, 2132, 3116, 10127, 20254, 40508.
What is 40508 in binary?
1001111000111100 (hexadecimal 9E3C, octal 117074).
What is the square root of 40508?
About 201.2660, exactly 2√10127.
Is 40508 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 40508?
It is a composite number with 24 divisors.