The number 37982
37982 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 2713. Divisors (8): 1, 2, 7, 14, 2713, 5426, 18991, 37982.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
37982 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37982 is composite. Its prime factorisation is
- 3
The divisors add up to 65136; without 37982 itself that is 27154, so 37982 is deficient (27154 is less than 37982). Euler's totient φ(37982) = 16272 numbers up to 37982 share no factor with it.
- 4
The digits of 37982 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 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37982 = 2 \times 7 \times 2713 \]
37982 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 65136 |
| Euler totient φ(n) | 16272 |
| Square | 1442632324 |
| Cube | 54794060930168 |
| Square root | 194.889712 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 93 |
| Scientific notation | 3.7982 × |
37982 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand nine hundred and eighty-two |
| Binary (base 2) | 1001010001011110 |
| Octal (base 8) | 112136 |
| Hexadecimal (base 16) | 945E |
| Base 3 | 1221002202 |
| As time | 37982 seconds = 10 h 33 min 2 s |
Is 37982 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37982 ÷ 2 = 18991) | 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 | Yes (37982 ÷ 7 = 5426) | 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 10) | 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 37982 a prime number?
No. 37982 = 2 × 7 × 2713, so it is divisible by 2.
What are the factors of 37982?
1, 2, 7, 14, 2713, 5426, 18991, 37982.
What is 37982 in binary?
1001010001011110 (hexadecimal 945E, octal 112136).
What is the square root of 37982?
About 194.8897.
Is 37982 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 37982?
It is a composite number with 8 divisors.