The number 37216
37216 is a composite number with 12 divisors. Its prime factorisation is × 1163. Divisors (12): 1, 2, 4, 8, 16, 32, 1163, 2326, 4652, 9304, 18608, 37216.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
37216 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37216 is composite. Its prime factorisation is
- 3
The divisors add up to 73332; without 37216 itself that is 36116, so 37216 is deficient (36116 is less than 37216). Euler's totient φ(37216) = 18592 numbers up to 37216 share no factor with it.
- 4
The digits of 37216 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 155 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37216 = 2^{5} \times 1163 \]37216 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 73332 |
| Euler totient φ(n) | 18592 |
| Square | 1385030656 |
| Cube | 51545300893696 |
| Square root | 192.914489 (= 4√2326) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 155 |
| Scientific notation | 3.7216 × |
37216 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand two hundred and sixteen |
| Binary (base 2) | 1001000101100000 |
| Octal (base 8) | 110540 |
| Hexadecimal (base 16) | 9160 |
| Base 3 | 1220001101 |
| As time | 37216 seconds = 10 h 20 min 16 s |
Is 37216 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37216 ÷ 2 = 18608) | 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 (37216 ÷ 4 = 9304) | 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 4) | 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 | Yes (37216 ÷ 8 = 4652) | 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 3) | 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 37216 a prime number?
No. 37216 = × 1163, so it is divisible by 2.
What are the factors of 37216?
1, 2, 4, 8, 16, 32, 1163, 2326, 4652, 9304, 18608, 37216.
What is 37216 in binary?
1001000101100000 (hexadecimal 9160, octal 110540).
What is the square root of 37216?
About 192.9145, exactly 4√2326.
Is 37216 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 37216?
It is a composite number with 12 divisors.