The number 37366
37366 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 17 × 157. Divisors (16): 1, 2, 7, 14, 17, 34, 119, 157, 238, 314, 1099, 2198, 2669, 5338, 18683, 37366.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37366: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
37366 is composite. Its prime factorisation is
- 3
The divisors add up to 68256; without 37366 itself that is 30890, so 37366 is deficient (30890 is less than 37366). Euler's totient φ(37366) = 14976 numbers up to 37366 share no factor with it.
- 4
The digits of 37366 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 124 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37366 = 2 \times 7 \times 17 \times 157 \]
37366 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 68256 |
| Euler totient φ(n) | 14976 |
| Square | 1396217956 |
| Cube | 52171080143896 |
| Square root | 193.302871 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 124 |
| Scientific notation | 3.7366 × |
37366 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand three hundred and sixty-six |
| Binary (base 2) | 1001000111110110 |
| Octal (base 8) | 110766 |
| Hexadecimal (base 16) | 91F6 |
| Base 3 | 1220020221 |
| As time | 37366 seconds = 10 h 22 min 46 s |
Is 37366 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37366 ÷ 2 = 18683) | 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 | No (remainder 2) | 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 | Yes (37366 ÷ 7 = 5338) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37366 a prime number?
No. 37366 = 2 × 7 × 17 × 157, so it is divisible by 2.
What are the factors of 37366?
1, 2, 7, 14, 17, 34, 119, 157, 238, 314, 1099, 2198, 2669, 5338, 18683, 37366.
What is 37366 in binary?
1001000111110110 (hexadecimal 91F6, octal 110766).
What is the square root of 37366?
About 193.3029.
Is 37366 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 37366?
37366 is a happy number: repeatedly adding the squares of its digits reaches 1.