The number 42988
42988 is a composite number with 12 divisors. Its prime factorisation is × 11 × 977. Divisors (12): 1, 2, 4, 11, 22, 44, 977, 1954, 3908, 10747, 21494, 42988.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42988 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42988 is composite. Its prime factorisation is
- 3
The divisors add up to 82152; without 42988 itself that is 39164, so 42988 is deficient (39164 is less than 42988). Euler's totient φ(42988) = 19520 numbers up to 42988 share no factor with it.
- 4
The digits of 42988 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42988 = 2^{2} \times 11 \times 977 \]42988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 82152 |
| Euler totient φ(n) | 19520 |
| Square | 1847968144 |
| Cube | 79440454574272 |
| Square root | 207.335477 (= 2√10747) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.2988 × |
42988 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand nine hundred and eighty-eight |
| Binary (base 2) | 1010011111101100 |
| Octal (base 8) | 123754 |
| Hexadecimal (base 16) | A7EC |
| Base 3 | 2011222011 |
| As time | 42988 seconds = 11 h 56 min 28 s |
Is 42988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42988 ÷ 2 = 21494) | 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 (42988 ÷ 4 = 10747) | 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 1) | 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 4) | 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 | Yes (42988 ÷ 11 = 3908) | 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 42988 a prime number?
No. 42988 = × 11 × 977, so it is divisible by 2.
What are the factors of 42988?
1, 2, 4, 11, 22, 44, 977, 1954, 3908, 10747, 21494, 42988.
What is 42988 in binary?
1010011111101100 (hexadecimal A7EC, octal 123754).
What is the square root of 42988?
About 207.3355, exactly 2√10747.
Is 42988 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 42988?
It is a composite number with 12 divisors.