The number 8983
8983 is a composite number with 4 divisors. Its prime factorisation is 13 × 691. Divisors (4): 1, 13, 691, 8983.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8983: a semiprime: 13 × 691, the product of two primes.
- 2
8983 is composite. Its prime factorisation is
- 3
The divisors add up to 9688; without 8983 itself that is 705, so 8983 is deficient (705 is less than 8983). Euler's totient φ(8983) = 8280 numbers up to 8983 share no factor with it.
- 4
The digits of 8983 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 184 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8983 = 13 \times 691 \]
8983 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 9688 |
| Euler totient φ(n) | 8280 |
| Square | 80694289 |
| Cube | 724876798087 |
| Square root | 94.778690 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 184 |
| Scientific notation | 8.983 × |
8983 in other forms
| Form | Value |
|---|---|
| In words | eight thousand nine hundred and eighty-three |
| Binary (base 2) | 10001100010111 |
| Octal (base 8) | 21427 |
| Hexadecimal (base 16) | 2317 |
| Base 3 | 110022201 |
| As time | 8983 seconds = 2 h 29 min 43 s |
Is 8983 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 1) | 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 1) | 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 | No (remainder 7) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8983 a prime number?
No. 8983 = 13 × 691, so it is divisible by 13.
What are the factors of 8983?
1, 13, 691, 8983.
What is 8983 in binary?
10001100010111 (hexadecimal 2317, octal 21427).
What is the square root of 8983?
About 94.7787.
Is 8983 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 8983?
8983 is a semiprime: 13 × 691, the product of two primes.