The number 9926
9926 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 709. Divisors (8): 1, 2, 7, 14, 709, 1418, 4963, 9926.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9926 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9926 is composite. Its prime factorisation is
- 3
The divisors add up to 17040; without 9926 itself that is 7114, so 9926 is deficient (7114 is less than 9926). Euler's totient φ(9926) = 4248 numbers up to 9926 share no factor with it.
- 4
The digits of 9926 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 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9926 = 2 \times 7 \times 709 \]
9926 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 17040 |
| Euler totient φ(n) | 4248 |
| Square | 98525476 |
| Cube | 977963874776 |
| Square root | 99.629313 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 42 |
| Scientific notation | 9.926 × |
9926 in other forms
| Form | Value |
|---|---|
| In words | nine thousand nine hundred and twenty-six |
| Binary (base 2) | 10011011000110 |
| Octal (base 8) | 23306 |
| Hexadecimal (base 16) | 26C6 |
| Base 3 | 111121122 |
| As time | 9926 seconds = 2 h 45 min 26 s |
Is 9926 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9926 ÷ 2 = 4963) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 | Yes (9926 ÷ 7 = 1418) | 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 6) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9926 a prime number?
No. 9926 = 2 × 7 × 709, so it is divisible by 2.
What are the factors of 9926?
1, 2, 7, 14, 709, 1418, 4963, 9926.
What is 9926 in binary?
10011011000110 (hexadecimal 26C6, octal 23306).
What is the square root of 9926?
About 99.6293.
Is 9926 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 9926?
It is a composite number with 8 divisors.