The number 9928
9928 is a composite number with 16 divisors. Its prime factorisation is × 17 × 73. Divisors (16): 1, 2, 4, 8, 17, 34, 68, 73, 136, 146, 292, 584, 1241, 2482, 4964, 9928.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9928: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
9928 is composite. Its prime factorisation is
- 3
The divisors add up to 19980; without 9928 itself that is 10052, so 9928 is abundant (10052 is more than 9928). Euler's totient φ(9928) = 4608 numbers up to 9928 share no factor with it.
- 4
The digits of 9928 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9928 = 2^{3} \times 17 \times 73 \]9928 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 19980 |
| Euler totient φ(n) | 4608 |
| Square | 98565184 |
| Cube | 978555146752 |
| Square root | 99.639350 (= 2√2482) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 42 |
| Scientific notation | 9.928 × |
9928 in other forms
| Form | Value |
|---|---|
| In words | nine thousand nine hundred and twenty-eight |
| Binary (base 2) | 10011011001000 |
| Octal (base 8) | 23310 |
| Hexadecimal (base 16) | 26C8 |
| Base 3 | 111121201 |
| As time | 9928 seconds = 2 h 45 min 28 s |
Is 9928 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9928 ÷ 2 = 4964) | 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 (9928 ÷ 4 = 2482) | 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 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 | Yes (9928 ÷ 8 = 1241) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 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 9928 a prime number?
No. 9928 = × 17 × 73, so it is divisible by 2.
What are the factors of 9928?
1, 2, 4, 8, 17, 34, 68, 73, 136, 146, 292, 584, 1241, 2482, 4964, 9928.
What is 9928 in binary?
10011011001000 (hexadecimal 26C8, octal 23310).
What is the square root of 9928?
About 99.6393, exactly 2√2482.
Is 9928 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 9928?
9928 is a happy number: repeatedly adding the squares of its digits reaches 1.