The number 37389
37389 is a composite number with 12 divisors. Its prime factorisation is 3 × × 103. Divisors (12): 1, 3, 11, 33, 103, 121, 309, 363, 1133, 3399, 12463, 37389.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
37389 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37389 is composite. Its prime factorisation is
- 3
The divisors add up to 55328; without 37389 itself that is 17939, so 37389 is deficient (17939 is less than 37389). Euler's totient φ(37389) = 22440 numbers up to 37389 share no factor with it.
- 4
The digits of 37389 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37389 = 3 \times 11^{2} \times 103 \]37389 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 55328 |
| Euler totient φ(n) | 22440 |
| Square | 1397937321 |
| Cube | 52267478494869 |
| Square root | 193.362354 (= 11√309) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 62 |
| Scientific notation | 3.7389 × |
37389 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand three hundred and eighty-nine |
| Binary (base 2) | 1001001000001101 |
| Octal (base 8) | 111015 |
| Hexadecimal (base 16) | 920D |
| Base 3 | 1220021210 |
| As time | 37389 seconds = 10 h 23 min 9 s |
Is 37389 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 | Yes (37389 ÷ 3 = 12463) | 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 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (37389 ÷ 11 = 3399) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37389 a prime number?
No. 37389 = 3 × × 103, so it is divisible by 3.
What are the factors of 37389?
1, 3, 11, 33, 103, 121, 309, 363, 1133, 3399, 12463, 37389.
What is 37389 in binary?
1001001000001101 (hexadecimal 920D, octal 111015).
What is the square root of 37389?
About 193.3624, exactly 11√309.
Is 37389 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 37389?
It is a composite number with 12 divisors.