The number 37089
37089 is a composite number with 12 divisors. Its prime factorisation is × 13 × 317. Divisors (12): 1, 3, 9, 13, 39, 117, 317, 951, 2853, 4121, 12363, 37089.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37089: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
37089 is composite. Its prime factorisation is
- 3
The divisors add up to 57876; without 37089 itself that is 20787, so 37089 is deficient (20787 is less than 37089). Euler's totient φ(37089) = 22752 numbers up to 37089 share no factor with it.
- 4
The digits of 37089 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37089 = 3^{2} \times 13 \times 317 \]37089 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 57876 |
| Euler totient φ(n) | 22752 |
| Square | 1375593921 |
| Cube | 51019402935969 |
| Square root | 192.585046 (= 3√4121) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 93 |
| Scientific notation | 3.7089 × |
37089 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand and eighty-nine |
| Binary (base 2) | 1001000011100001 |
| Octal (base 8) | 110341 |
| Hexadecimal (base 16) | 90E1 |
| Base 3 | 1212212200 |
| As time | 37089 seconds = 10 h 18 min 9 s |
Is 37089 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 (37089 ÷ 3 = 12363) | 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 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (37089 ÷ 9 = 4121) | 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 | No (remainder 8) | 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 37089 a prime number?
No. 37089 = × 13 × 317, so it is divisible by 3.
What are the factors of 37089?
1, 3, 9, 13, 39, 117, 317, 951, 2853, 4121, 12363, 37089.
What is 37089 in binary?
1001000011100001 (hexadecimal 90E1, octal 110341).
What is the square root of 37089?
About 192.5850, exactly 3√4121.
Is 37089 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 37089?
37089 is a happy number: repeatedly adding the squares of its digits reaches 1.