The number 37172
37172 is a composite number with 6 divisors. Its prime factorisation is × 9293. Divisors (6): 1, 2, 4, 9293, 18586, 37172.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
37172 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37172 is composite. Its prime factorisation is
- 3
The divisors add up to 65058; without 37172 itself that is 27886, so 37172 is deficient (27886 is less than 37172). Euler's totient φ(37172) = 18584 numbers up to 37172 share no factor with it.
- 4
The digits of 37172 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 186 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37172 = 2^{2} \times 9293 \]37172 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 65058 |
| Euler totient φ(n) | 18584 |
| Square | 1381757584 |
| Cube | 51362692912448 |
| Square root | 192.800415 (= 2√9293) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 186 |
| Scientific notation | 3.7172 × |
37172 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand one hundred and seventy-two |
| Binary (base 2) | 1001000100110100 |
| Octal (base 8) | 110464 |
| Hexadecimal (base 16) | 9134 |
| Base 3 | 1212222202 |
| As time | 37172 seconds = 10 h 19 min 32 s |
Is 37172 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37172 ÷ 2 = 18586) | 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 (37172 ÷ 4 = 9293) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 2) | 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 2) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37172 a prime number?
No. 37172 = × 9293, so it is divisible by 2.
What are the factors of 37172?
1, 2, 4, 9293, 18586, 37172.
What is 37172 in binary?
1001000100110100 (hexadecimal 9134, octal 110464).
What is the square root of 37172?
About 192.8004, exactly 2√9293.
Is 37172 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 37172?
It is a composite number with 6 divisors.