The number 37248
37248 is a composite number with 32 divisors. Its prime factorisation is × 3 × 97. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 97, 128, 192 … 37248.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37248: a Harshad number: divisible by its digit sum 24.
- 2
37248 is composite. Its prime factorisation is
- 3
The divisors add up to 99960; without 37248 itself that is 62712, so 37248 is abundant (62712 is more than 37248). Euler's totient φ(37248) = 12288 numbers up to 37248 share no factor with it.
- 4
The digits of 37248 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 124 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37248 = 2^{7} \times 3 \times 97 \]37248 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 99960 |
| Euler totient φ(n) | 12288 |
| Square | 1387413504 |
| Cube | 51678378196992 |
| Square root | 192.997409 (= 8√582) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 124 |
| Scientific notation | 3.7248 × |
37248 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand two hundred and forty-eight |
| Binary (base 2) | 1001000110000000 |
| Octal (base 8) | 110600 |
| Hexadecimal (base 16) | 9180 |
| Base 3 | 1220002120 |
| As time | 37248 seconds = 10 h 20 min 48 s |
Is 37248 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37248 ÷ 2 = 18624) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (37248 ÷ 3 = 12416) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (37248 ÷ 4 = 9312) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (37248 ÷ 6 = 6208) | 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 | Yes (37248 ÷ 8 = 4656) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (37248 ÷ 12 = 3104) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37248 a prime number?
No. 37248 = × 3 × 97, so it is divisible by 2.
What are the factors of 37248?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 97, 128, 192, 194, 291, 384, 388, 582, 776, 1164, 1552, 2328, 3104, 4656, 6208, 9312, 12416, 18624, 37248.
What is 37248 in binary?
1001000110000000 (hexadecimal 9180, octal 110600).
What is the square root of 37248?
About 192.9974, exactly 8√582.
Is 37248 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 37248?
37248 is a Harshad number: divisible by its digit sum 24.