The number 40588
40588 is a composite number with 12 divisors. Its prime factorisation is × 73 × 139. Divisors (12): 1, 2, 4, 73, 139, 146, 278, 292, 556, 10147, 20294, 40588.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40588 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40588 is composite. Its prime factorisation is
- 3
The divisors add up to 72520; without 40588 itself that is 31932, so 40588 is deficient (31932 is less than 40588). Euler's totient φ(40588) = 19872 numbers up to 40588 share no factor with it.
- 4
The digits of 40588 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40588 = 2^{2} \times 73 \times 139 \]40588 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 72520 |
| Euler totient φ(n) | 19872 |
| Square | 1647385744 |
| Cube | 66864092577472 |
| Square root | 201.464637 (= 2√10147) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 36 |
| Scientific notation | 4.0588 × |
40588 in other forms
| Form | Value |
|---|---|
| In words | forty thousand five hundred and eighty-eight |
| Binary (base 2) | 1001111010001100 |
| Octal (base 8) | 117214 |
| Hexadecimal (base 16) | 9E8C |
| Base 3 | 2001200021 |
| As time | 40588 seconds = 11 h 16 min 28 s |
Is 40588 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40588 ÷ 2 = 20294) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40588 ÷ 4 = 10147) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 7) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40588 a prime number?
No. 40588 = × 73 × 139, so it is divisible by 2.
What are the factors of 40588?
1, 2, 4, 73, 139, 146, 278, 292, 556, 10147, 20294, 40588.
What is 40588 in binary?
1001111010001100 (hexadecimal 9E8C, octal 117214).
What is the square root of 40588?
About 201.4646, exactly 2√10147.
Is 40588 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 40588?
It is a composite number with 12 divisors.