The number 73983
73983 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 13 × 271. Divisors (16): 1, 3, 7, 13, 21, 39, 91, 271, 273, 813, 1897, 3523, 5691, 10569, 24661, 73983.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73983 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73983 is composite. Its prime factorisation is
- 3
The divisors add up to 121856; without 73983 itself that is 47873, so 73983 is deficient (47873 is less than 73983). Euler's totient φ(73983) = 38880 numbers up to 73983 share no factor with it.
- 4
The digits of 73983 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73983 = 3 \times 7 \times 13 \times 271 \]
73983 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 121856 |
| Euler totient φ(n) | 38880 |
| Square | 5473484289 |
| Cube | 404944788153087 |
| Square root | 271.998162 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.3983 × |
73983 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand nine hundred and eighty-three |
| Binary (base 2) | 10010000011111111 |
| Octal (base 8) | 220377 |
| Hexadecimal (base 16) | 120FF |
| Base 3 | 10202111010 |
| As time | 73983 seconds = 20 h 33 min 3 s |
Is 73983 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 (73983 ÷ 3 = 24661) | 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 | Yes (73983 ÷ 7 = 10569) | 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 3) | 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 73983 a prime number?
No. 73983 = 3 × 7 × 13 × 271, so it is divisible by 3.
What are the factors of 73983?
1, 3, 7, 13, 21, 39, 91, 271, 273, 813, 1897, 3523, 5691, 10569, 24661, 73983.
What is 73983 in binary?
10010000011111111 (hexadecimal 120FF, octal 220377).
What is the square root of 73983?
About 271.9982.
Is 73983 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 73983?
It is a composite number with 16 divisors.