The number 37036
37036 is a composite number with 12 divisors. Its prime factorisation is × 47 × 197. Divisors (12): 1, 2, 4, 47, 94, 188, 197, 394, 788, 9259, 18518, 37036.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37036: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
37036 is composite. Its prime factorisation is
- 3
The divisors add up to 66528; without 37036 itself that is 29492, so 37036 is deficient (29492 is less than 37036). Euler's totient φ(37036) = 18032 numbers up to 37036 share no factor with it.
- 4
The digits of 37036 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37036 = 2^{2} \times 47 \times 197 \]37036 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 66528 |
| Euler totient φ(n) | 18032 |
| Square | 1371665296 |
| Cube | 50800995902656 |
| Square root | 192.447395 (= 2√9259) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.7036 × |
37036 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand and thirty-six |
| Binary (base 2) | 1001000010101100 |
| Octal (base 8) | 110254 |
| Hexadecimal (base 16) | 90AC |
| Base 3 | 1212210201 |
| As time | 37036 seconds = 10 h 17 min 16 s |
Is 37036 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37036 ÷ 2 = 18518) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (37036 ÷ 4 = 9259) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 1) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37036 a prime number?
No. 37036 = × 47 × 197, so it is divisible by 2.
What are the factors of 37036?
1, 2, 4, 47, 94, 188, 197, 394, 788, 9259, 18518, 37036.
What is 37036 in binary?
1001000010101100 (hexadecimal 90AC, octal 110254).
What is the square root of 37036?
About 192.4474, exactly 2√9259.
Is 37036 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 37036?
37036 is a happy number: repeatedly adding the squares of its digits reaches 1.