The number 73982
73982 is a composite number with 8 divisors. Its prime factorisation is 2 × 71 × 521. Divisors (8): 1, 2, 71, 142, 521, 1042, 36991, 73982.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73982 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73982 is composite. Its prime factorisation is
- 3
The divisors add up to 112752; without 73982 itself that is 38770, so 73982 is deficient (38770 is less than 73982). Euler's totient φ(73982) = 36400 numbers up to 73982 share no factor with it.
- 4
The digits of 73982 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 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73982 = 2 \times 71 \times 521 \]
73982 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 112752 |
| Euler totient φ(n) | 36400 |
| Square | 5473336324 |
| Cube | 404928367922168 |
| Square root | 271.996324 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.3982 × |
73982 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand nine hundred and eighty-two |
| Binary (base 2) | 10010000011111110 |
| Octal (base 8) | 220376 |
| Hexadecimal (base 16) | 120FE |
| Base 3 | 10202111002 |
| As time | 73982 seconds = 20 h 33 min 2 s |
Is 73982 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73982 ÷ 2 = 36991) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 6) | 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 2) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73982 a prime number?
No. 73982 = 2 × 71 × 521, so it is divisible by 2.
What are the factors of 73982?
1, 2, 71, 142, 521, 1042, 36991, 73982.
What is 73982 in binary?
10010000011111110 (hexadecimal 120FE, octal 220376).
What is the square root of 73982?
About 271.9963.
Is 73982 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 73982?
It is a composite number with 8 divisors.