The number 10988
10988 is a composite number with 12 divisors. Its prime factorisation is × 41 × 67. Divisors (12): 1, 2, 4, 41, 67, 82, 134, 164, 268, 2747, 5494, 10988.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10988 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10988 is composite. Its prime factorisation is
- 3
The divisors add up to 19992; without 10988 itself that is 9004, so 10988 is deficient (9004 is less than 10988). Euler's totient φ(10988) = 5280 numbers up to 10988 share no factor with it.
- 4
The digits of 10988 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10988 = 2^{2} \times 41 \times 67 \]10988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 19992 |
| Euler totient φ(n) | 5280 |
| Square | 120736144 |
| Cube | 1326648750272 |
| Square root | 104.823661 (= 2√2747) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 68 |
| Scientific notation | 1.0988 × |
10988 in other forms
| Form | Value |
|---|---|
| In words | ten thousand nine hundred and eighty-eight |
| Binary (base 2) | 10101011101100 |
| Octal (base 8) | 25354 |
| Hexadecimal (base 16) | 2AEC |
| Base 3 | 120001222 |
| As time | 10988 seconds = 3 h 3 min 8 s |
Is 10988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10988 ÷ 2 = 5494) | 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 (10988 ÷ 4 = 2747) | 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 5) | 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 10) | 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 10988 a prime number?
No. 10988 = × 41 × 67, so it is divisible by 2.
What are the factors of 10988?
1, 2, 4, 41, 67, 82, 134, 164, 268, 2747, 5494, 10988.
What is 10988 in binary?
10101011101100 (hexadecimal 2AEC, octal 25354).
What is the square root of 10988?
About 104.8237, exactly 2√2747.
Is 10988 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 10988?
It is a composite number with 12 divisors.