The number 37164
37164 is a composite number with 24 divisors. Its prime factorisation is × 3 × 19 × 163. Divisors (24): 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 163, 228, 326, 489, 652 … 37164.
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How to work it out
- 1
37164 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37164 is composite. Its prime factorisation is
- 3
The divisors add up to 91840; without 37164 itself that is 54676, so 37164 is abundant (54676 is more than 37164). Euler's totient φ(37164) = 11664 numbers up to 37164 share no factor with it.
- 4
The digits of 37164 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37164 = 2^{2} \times 3 \times 19 \times 163 \]37164 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 91840 |
| Euler totient φ(n) | 11664 |
| Square | 1381162896 |
| Cube | 51329537866944 |
| Square root | 192.779667 (= 2√9291) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 36 |
| Scientific notation | 3.7164 × |
37164 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand one hundred and sixty-four |
| Binary (base 2) | 1001000100101100 |
| Octal (base 8) | 110454 |
| Hexadecimal (base 16) | 912C |
| Base 3 | 1212222110 |
| As time | 37164 seconds = 10 h 19 min 24 s |
Is 37164 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37164 ÷ 2 = 18582) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (37164 ÷ 3 = 12388) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (37164 ÷ 4 = 9291) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (37164 ÷ 6 = 6194) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (37164 ÷ 12 = 3097) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37164 a prime number?
No. 37164 = × 3 × 19 × 163, so it is divisible by 2.
What are the factors of 37164?
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 163, 228, 326, 489, 652, 978, 1956, 3097, 6194, 9291, 12388, 18582, 37164.
What is 37164 in binary?
1001000100101100 (hexadecimal 912C, octal 110454).
What is the square root of 37164?
About 192.7797, exactly 2√9291.
Is 37164 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 37164?
It is a composite number with 24 divisors.