The number 37328
37328 is a composite number with 10 divisors. Its prime factorisation is × 2333. Divisors (10): 1, 2, 4, 8, 16, 2333, 4666, 9332, 18664, 37328.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
37328 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37328 is composite. Its prime factorisation is
- 3
The divisors add up to 72354; without 37328 itself that is 35026, so 37328 is deficient (35026 is less than 37328). Euler's totient φ(37328) = 18656 numbers up to 37328 share no factor with it.
- 4
The digits of 37328 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 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37328 = 2^{4} \times 2333 \]37328 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 72354 |
| Euler totient φ(n) | 18656 |
| Square | 1393379584 |
| Cube | 52012073111552 |
| Square root | 193.204555 (= 4√2333) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 36 |
| Scientific notation | 3.7328 × |
37328 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand three hundred and twenty-eight |
| Binary (base 2) | 1001000111010000 |
| Octal (base 8) | 110720 |
| Hexadecimal (base 16) | 91D0 |
| Base 3 | 1220012112 |
| As time | 37328 seconds = 10 h 22 min 8 s |
Is 37328 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37328 ÷ 2 = 18664) | 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 (37328 ÷ 4 = 9332) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 4) | 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 (37328 ÷ 8 = 4666) | 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 8) | 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 37328 a prime number?
No. 37328 = × 2333, so it is divisible by 2.
What are the factors of 37328?
1, 2, 4, 8, 16, 2333, 4666, 9332, 18664, 37328.
What is 37328 in binary?
1001000111010000 (hexadecimal 91D0, octal 110720).
What is the square root of 37328?
About 193.2046, exactly 4√2333.
Is 37328 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 37328?
It is a composite number with 10 divisors.