The number 37364
37364 is a composite number with 6 divisors. Its prime factorisation is × 9341. Divisors (6): 1, 2, 4, 9341, 18682, 37364.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
37364 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37364 is composite. Its prime factorisation is
- 3
The divisors add up to 65394; without 37364 itself that is 28030, so 37364 is deficient (28030 is less than 37364). Euler's totient φ(37364) = 18680 numbers up to 37364 share no factor with it.
- 4
The digits of 37364 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37364 = 2^{2} \times 9341 \]37364 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 65394 |
| Euler totient φ(n) | 18680 |
| Square | 1396068496 |
| Cube | 52162703284544 |
| Square root | 193.297698 (= 2√9341) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 93 |
| Scientific notation | 3.7364 × |
37364 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand three hundred and sixty-four |
| Binary (base 2) | 1001000111110100 |
| Octal (base 8) | 110764 |
| Hexadecimal (base 16) | 91F4 |
| Base 3 | 1220020212 |
| As time | 37364 seconds = 10 h 22 min 44 s |
Is 37364 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37364 ÷ 2 = 18682) | 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 (37364 ÷ 4 = 9341) | 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 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 5) | 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 8) | 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 37364 a prime number?
No. 37364 = × 9341, so it is divisible by 2.
What are the factors of 37364?
1, 2, 4, 9341, 18682, 37364.
What is 37364 in binary?
1001000111110100 (hexadecimal 91F4, octal 110764).
What is the square root of 37364?
About 193.2977, exactly 2√9341.
Is 37364 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 37364?
It is a composite number with 6 divisors.