The number 37836
37836 is a composite number with 18 divisors. Its prime factorisation is × × 1051. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 1051, 2102, 3153, 4204, 6306, 9459, 12612 … 37836.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37836: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
37836 is composite. Its prime factorisation is
- 3
The divisors add up to 95732; without 37836 itself that is 57896, so 37836 is abundant (57896 is more than 37836). Euler's totient φ(37836) = 12600 numbers up to 37836 share no factor with it.
- 4
The digits of 37836 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 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37836 = 2^{2} \times 3^{2} \times 1051 \]37836 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 95732 |
| Euler totient φ(n) | 12600 |
| Square | 1431562896 |
| Cube | 54164613733056 |
| Square root | 194.514781 (= 6√1051) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 62 |
| Scientific notation | 3.7836 × |
37836 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand eight hundred and thirty-six |
| Binary (base 2) | 1001001111001100 |
| Octal (base 8) | 111714 |
| Hexadecimal (base 16) | 93CC |
| Base 3 | 1220220100 |
| As time | 37836 seconds = 10 h 30 min 36 s |
Is 37836 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37836 ÷ 2 = 18918) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (37836 ÷ 3 = 12612) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (37836 ÷ 4 = 9459) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (37836 ÷ 6 = 6306) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (37836 ÷ 9 = 4204) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (37836 ÷ 12 = 3153) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37836 a prime number?
No. 37836 = × × 1051, so it is divisible by 2.
What are the factors of 37836?
1, 2, 3, 4, 6, 9, 12, 18, 36, 1051, 2102, 3153, 4204, 6306, 9459, 12612, 18918, 37836.
What is 37836 in binary?
1001001111001100 (hexadecimal 93CC, octal 111714).
What is the square root of 37836?
About 194.5148, exactly 6√1051.
Is 37836 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 37836?
37836 is a happy number: repeatedly adding the squares of its digits reaches 1.