The number 37084
37084 is a composite number with 12 divisors. Its prime factorisation is × 73 × 127. Divisors (12): 1, 2, 4, 73, 127, 146, 254, 292, 508, 9271, 18542, 37084.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
37084 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37084 is composite. Its prime factorisation is
- 3
The divisors add up to 66304; without 37084 itself that is 29220, so 37084 is deficient (29220 is less than 37084). Euler's totient φ(37084) = 18144 numbers up to 37084 share no factor with it.
- 4
The digits of 37084 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37084 = 2^{2} \times 73 \times 127 \]37084 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 66304 |
| Euler totient φ(n) | 18144 |
| Square | 1375223056 |
| Cube | 50998771808704 |
| Square root | 192.572064 (= 2√9271) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 93 |
| Scientific notation | 3.7084 × |
37084 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand and eighty-four |
| Binary (base 2) | 1001000011011100 |
| Octal (base 8) | 110334 |
| Hexadecimal (base 16) | 90DC |
| Base 3 | 1212212111 |
| As time | 37084 seconds = 10 h 18 min 4 s |
Is 37084 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37084 ÷ 2 = 18542) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (37084 ÷ 4 = 9271) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37084 a prime number?
No. 37084 = × 73 × 127, so it is divisible by 2.
What are the factors of 37084?
1, 2, 4, 73, 127, 146, 254, 292, 508, 9271, 18542, 37084.
What is 37084 in binary?
1001000011011100 (hexadecimal 90DC, octal 110334).
What is the square root of 37084?
About 192.5721, exactly 2√9271.
Is 37084 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 37084?
It is a composite number with 12 divisors.