The number 41988
41988 is a composite number with 12 divisors. Its prime factorisation is × 3 × 3499. Divisors (12): 1, 2, 3, 4, 6, 12, 3499, 6998, 10497, 13996, 20994, 41988.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 41988: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
41988 is composite. Its prime factorisation is
- 3
The divisors add up to 98000; without 41988 itself that is 56012, so 41988 is abundant (56012 is more than 41988). Euler's totient φ(41988) = 13992 numbers up to 41988 share no factor with it.
- 4
The digits of 41988 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41988 = 2^{2} \times 3 \times 3499 \]41988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 98000 |
| Euler totient φ(n) | 13992 |
| Square | 1762992144 |
| Cube | 74024514142272 |
| Square root | 204.909736 (= 2√10497) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.1988 × |
41988 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand nine hundred and eighty-eight |
| Binary (base 2) | 1010010000000100 |
| Octal (base 8) | 122004 |
| Hexadecimal (base 16) | A404 |
| Base 3 | 2010121010 |
| As time | 41988 seconds = 11 h 39 min 48 s |
Is 41988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41988 ÷ 2 = 20994) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (41988 ÷ 3 = 13996) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (41988 ÷ 4 = 10497) | 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 | Yes (41988 ÷ 6 = 6998) | 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 3) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (41988 ÷ 12 = 3499) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41988 a prime number?
No. 41988 = × 3 × 3499, so it is divisible by 2.
What are the factors of 41988?
1, 2, 3, 4, 6, 12, 3499, 6998, 10497, 13996, 20994, 41988.
What is 41988 in binary?
1010010000000100 (hexadecimal A404, octal 122004).
What is the square root of 41988?
About 204.9097, exactly 2√10497.
Is 41988 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 41988?
41988 is a happy number: repeatedly adding the squares of its digits reaches 1.