The number 9983
9983 is a composite number with 4 divisors. Its prime factorisation is 67 × 149. Divisors (4): 1, 67, 149, 9983.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9983: a semiprime: 67 × 149, the product of two primes.
- 2
9983 is composite. Its prime factorisation is
- 3
The divisors add up to 10200; without 9983 itself that is 217, so 9983 is deficient (217 is less than 9983). Euler's totient φ(9983) = 9768 numbers up to 9983 share no factor with it.
- 4
The digits of 9983 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9983 = 67 \times 149 \]
9983 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 10200 |
| Euler totient φ(n) | 9768 |
| Square | 99660289 |
| Cube | 994908665087 |
| Square root | 99.914964 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 166 |
| Scientific notation | 9.983 × |
9983 in other forms
| Form | Value |
|---|---|
| In words | nine thousand nine hundred and eighty-three |
| Binary (base 2) | 10011011111111 |
| Octal (base 8) | 23377 |
| Hexadecimal (base 16) | 26FF |
| Base 3 | 111200202 |
| As time | 9983 seconds = 2 h 46 min 23 s |
Is 9983 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 3) | 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 5) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9983 a prime number?
No. 9983 = 67 × 149, so it is divisible by 67.
What are the factors of 9983?
1, 67, 149, 9983.
What is 9983 in binary?
10011011111111 (hexadecimal 26FF, octal 23377).
What is the square root of 9983?
About 99.9150.
Is 9983 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 9983?
9983 is a semiprime: 67 × 149, the product of two primes.