The number 37316
37316 is a composite number with 12 divisors. Its prime factorisation is × 19 × 491. Divisors (12): 1, 2, 4, 19, 38, 76, 491, 982, 1964, 9329, 18658, 37316.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
37316 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37316 is composite. Its prime factorisation is
- 3
The divisors add up to 68880; without 37316 itself that is 31564, so 37316 is deficient (31564 is less than 37316). Euler's totient φ(37316) = 17640 numbers up to 37316 share no factor with it.
- 4
The digits of 37316 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 124 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37316 = 2^{2} \times 19 \times 491 \]37316 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 68880 |
| Euler totient φ(n) | 17640 |
| Square | 1392483856 |
| Cube | 51961927570496 |
| Square root | 193.173497 (= 2√9329) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 124 |
| Scientific notation | 3.7316 × |
37316 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand three hundred and sixteen |
| Binary (base 2) | 1001000111000100 |
| Octal (base 8) | 110704 |
| Hexadecimal (base 16) | 91C4 |
| Base 3 | 1220012002 |
| As time | 37316 seconds = 10 h 21 min 56 s |
Is 37316 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37316 ÷ 2 = 18658) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (37316 ÷ 4 = 9329) | 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 2) | 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 2) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37316 a prime number?
No. 37316 = × 19 × 491, so it is divisible by 2.
What are the factors of 37316?
1, 2, 4, 19, 38, 76, 491, 982, 1964, 9329, 18658, 37316.
What is 37316 in binary?
1001000111000100 (hexadecimal 91C4, octal 110704).
What is the square root of 37316?
About 193.1735, exactly 2√9329.
Is 37316 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 37316?
It is a composite number with 12 divisors.