The number 37064
37064 is a composite number with 16 divisors. Its prime factorisation is × 41 × 113. Divisors (16): 1, 2, 4, 8, 41, 82, 113, 164, 226, 328, 452, 904, 4633, 9266, 18532, 37064.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
37064 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37064 is composite. Its prime factorisation is
- 3
The divisors add up to 71820; without 37064 itself that is 34756, so 37064 is deficient (34756 is less than 37064). Euler's totient φ(37064) = 17920 numbers up to 37064 share no factor with it.
- 4
The digits of 37064 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37064 = 2^{3} \times 41 \times 113 \]37064 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 71820 |
| Euler totient φ(n) | 17920 |
| Square | 1373740096 |
| Cube | 50916302918144 |
| Square root | 192.520129 (= 2√9266) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.7064 × |
37064 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand and sixty-four |
| Binary (base 2) | 1001000011001000 |
| Octal (base 8) | 110310 |
| Hexadecimal (base 16) | 90C8 |
| Base 3 | 1212211202 |
| As time | 37064 seconds = 10 h 17 min 44 s |
Is 37064 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37064 ÷ 2 = 18532) | 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 | Yes (37064 ÷ 4 = 9266) | 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 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 | Yes (37064 ÷ 8 = 4633) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37064 a prime number?
No. 37064 = × 41 × 113, so it is divisible by 2.
What are the factors of 37064?
1, 2, 4, 8, 41, 82, 113, 164, 226, 328, 452, 904, 4633, 9266, 18532, 37064.
What is 37064 in binary?
1001000011001000 (hexadecimal 90C8, octal 110310).
What is the square root of 37064?
About 192.5201, exactly 2√9266.
Is 37064 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 37064?
It is a composite number with 16 divisors.