The number 37985
37985 is a composite number with 8 divisors. Its prime factorisation is 5 × 71 × 107. Divisors (8): 1, 5, 71, 107, 355, 535, 7597, 37985.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
37985 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37985 is composite. Its prime factorisation is
- 3
The divisors add up to 46656; without 37985 itself that is 8671, so 37985 is deficient (8671 is less than 37985). Euler's totient φ(37985) = 29680 numbers up to 37985 share no factor with it.
- 4
The digits of 37985 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37985 = 5 \times 71 \times 107 \]
37985 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 46656 |
| Euler totient φ(n) | 29680 |
| Square | 1442860225 |
| Cube | 54807045646625 |
| Square root | 194.897409 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 106 |
| Scientific notation | 3.7985 × |
37985 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand nine hundred and eighty-five |
| Binary (base 2) | 1001010001100001 |
| Octal (base 8) | 112141 |
| Hexadecimal (base 16) | 9461 |
| Base 3 | 1221002212 |
| As time | 37985 seconds = 10 h 33 min 5 s |
Is 37985 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 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (37985 ÷ 5 = 7597) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37985 a prime number?
No. 37985 = 5 × 71 × 107, so it is divisible by 5.
What are the factors of 37985?
1, 5, 71, 107, 355, 535, 7597, 37985.
What is 37985 in binary?
1001010001100001 (hexadecimal 9461, octal 112141).
What is the square root of 37985?
About 194.8974.
Is 37985 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 37985?
It is a composite number with 8 divisors.