The number 37264
37264 is a composite number with 20 divisors. Its prime factorisation is × 17 × 137. Divisors (20): 1, 2, 4, 8, 16, 17, 34, 68, 136, 137, 272, 274, 548, 1096, 2192, 2329 … 37264.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
37264 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37264 is composite. Its prime factorisation is
- 3
The divisors add up to 77004; without 37264 itself that is 39740, so 37264 is abundant (39740 is more than 37264). Euler's totient φ(37264) = 17408 numbers up to 37264 share no factor with it.
- 4
The digits of 37264 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 155 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37264 = 2^{4} \times 17 \times 137 \]37264 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 77004 |
| Euler totient φ(n) | 17408 |
| Square | 1388605696 |
| Cube | 51745002655744 |
| Square root | 193.038856 (= 4√2329) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 155 |
| Scientific notation | 3.7264 × |
37264 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand two hundred and sixty-four |
| Binary (base 2) | 1001000110010000 |
| Octal (base 8) | 110620 |
| Hexadecimal (base 16) | 9190 |
| Base 3 | 1220010011 |
| As time | 37264 seconds = 10 h 21 min 4 s |
Is 37264 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37264 ÷ 2 = 18632) | 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 (37264 ÷ 4 = 9316) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (37264 ÷ 8 = 4658) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 7) | 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 37264 a prime number?
No. 37264 = × 17 × 137, so it is divisible by 2.
What are the factors of 37264?
1, 2, 4, 8, 16, 17, 34, 68, 136, 137, 272, 274, 548, 1096, 2192, 2329, 4658, 9316, 18632, 37264.
What is 37264 in binary?
1001000110010000 (hexadecimal 9190, octal 110620).
What is the square root of 37264?
About 193.0389, exactly 4√2329.
Is 37264 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 37264?
It is a composite number with 20 divisors.