The number 40988
40988 is a composite number with 6 divisors. Its prime factorisation is × 10247. Divisors (6): 1, 2, 4, 10247, 20494, 40988.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40988 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40988 is composite. Its prime factorisation is
- 3
The divisors add up to 71736; without 40988 itself that is 30748, so 40988 is deficient (30748 is less than 40988). Euler's totient φ(40988) = 20492 numbers up to 40988 share no factor with it.
- 4
The digits of 40988 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40988 = 2^{2} \times 10247 \]40988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 71736 |
| Euler totient φ(n) | 20492 |
| Square | 1680016144 |
| Cube | 68860501710272 |
| Square root | 202.454933 (= 2√10247) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.0988 × |
40988 in other forms
| Form | Value |
|---|---|
| In words | forty thousand nine hundred and eighty-eight |
| Binary (base 2) | 1010000000011100 |
| Octal (base 8) | 120034 |
| Hexadecimal (base 16) | A01C |
| Base 3 | 2002020002 |
| As time | 40988 seconds = 11 h 23 min 8 s |
Is 40988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40988 ÷ 2 = 20494) | 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 (40988 ÷ 4 = 10247) | 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 3) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 40988 a prime number?
No. 40988 = × 10247, so it is divisible by 2.
What are the factors of 40988?
1, 2, 4, 10247, 20494, 40988.
What is 40988 in binary?
1010000000011100 (hexadecimal A01C, octal 120034).
What is the square root of 40988?
About 202.4549, exactly 2√10247.
Is 40988 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 40988?
It is a composite number with 6 divisors.