The number 10984
10984 is a composite number with 8 divisors. Its prime factorisation is × 1373. Divisors (8): 1, 2, 4, 8, 1373, 2746, 5492, 10984.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10984 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10984 is composite. Its prime factorisation is
- 3
The divisors add up to 20610; without 10984 itself that is 9626, so 10984 is deficient (9626 is less than 10984). Euler's totient φ(10984) = 5488 numbers up to 10984 share no factor with it.
- 4
The digits of 10984 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 130 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10984 = 2^{3} \times 1373 \]10984 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 20610 |
| Euler totient φ(n) | 5488 |
| Square | 120648256 |
| Cube | 1325200443904 |
| Square root | 104.804580 (= 2√2746) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 130 |
| Scientific notation | 1.0984 × |
10984 in other forms
| Form | Value |
|---|---|
| In words | ten thousand nine hundred and eighty-four |
| Binary (base 2) | 10101011101000 |
| Octal (base 8) | 25350 |
| Hexadecimal (base 16) | 2AE8 |
| Base 3 | 120001211 |
| As time | 10984 seconds = 3 h 3 min 4 s |
Is 10984 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10984 ÷ 2 = 5492) | 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 (10984 ÷ 4 = 2746) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 | Yes (10984 ÷ 8 = 1373) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 10984 a prime number?
No. 10984 = × 1373, so it is divisible by 2.
What are the factors of 10984?
1, 2, 4, 8, 1373, 2746, 5492, 10984.
What is 10984 in binary?
10101011101000 (hexadecimal 2AE8, octal 25350).
What is the square root of 10984?
About 104.8046, exactly 2√2746.
Is 10984 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 10984?
It is a composite number with 8 divisors.