The number 7983
7983 is a composite number with 6 divisors. Its prime factorisation is × 887. Divisors (6): 1, 3, 9, 887, 2661, 7983.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7983: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
7983 is composite. Its prime factorisation is
- 3
The divisors add up to 11544; without 7983 itself that is 3561, so 7983 is deficient (3561 is less than 7983). Euler's totient φ(7983) = 5316 numbers up to 7983 share no factor with it.
- 4
The digits of 7983 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7983 = 3^{2} \times 887 \]7983 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 11544 |
| Euler totient φ(n) | 5316 |
| Square | 63728289 |
| Cube | 508742931087 |
| Square root | 89.347636 (= 3√887) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 52 |
| Scientific notation | 7.983 × |
7983 in other forms
| Form | Value |
|---|---|
| In words | seven thousand nine hundred and eighty-three |
| Binary (base 2) | 1111100101111 |
| Octal (base 8) | 17457 |
| Hexadecimal (base 16) | 1F2F |
| Base 3 | 101221200 |
| As time | 7983 seconds = 2 h 13 min 3 s |
Is 7983 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 | Yes (7983 ÷ 3 = 2661) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (7983 ÷ 9 = 887) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7983 a prime number?
No. 7983 = × 887, so it is divisible by 3.
What are the factors of 7983?
1, 3, 9, 887, 2661, 7983.
What is 7983 in binary?
1111100101111 (hexadecimal 1F2F, octal 17457).
What is the square root of 7983?
About 89.3476, exactly 3√887.
Is 7983 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 7983?
7983 is a happy number: repeatedly adding the squares of its digits reaches 1.