The number 37230
37230 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 5 × 17 × 73. Divisors (32): 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 73, 85, 102, 146, 170 … 37230.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37230: a Harshad number: divisible by its digit sum 15.
- 2
37230 is composite. Its prime factorisation is
- 3
The divisors add up to 95904; without 37230 itself that is 58674, so 37230 is abundant (58674 is more than 37230). Euler's totient φ(37230) = 9216 numbers up to 37230 share no factor with it.
- 4
The digits of 37230 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37230 = 2 \times 3 \times 5 \times 17 \times 73 \]
37230 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 95904 |
| Euler totient φ(n) | 9216 |
| Square | 1386072900 |
| Cube | 51603494067000 |
| Square root | 192.950771 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 93 |
| Scientific notation | 3.723 × |
37230 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand two hundred and thirty |
| Binary (base 2) | 1001000101101110 |
| Octal (base 8) | 110556 |
| Hexadecimal (base 16) | 916E |
| Base 3 | 1220001220 |
| As time | 37230 seconds = 10 h 20 min 30 s |
Is 37230 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37230 ÷ 2 = 18615) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (37230 ÷ 3 = 12410) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (37230 ÷ 5 = 7446) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (37230 ÷ 6 = 6205) | 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 | No (remainder 6) | 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 | Yes (37230 ÷ 10 = 3723) | 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 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37230 a prime number?
No. 37230 = 2 × 3 × 5 × 17 × 73, so it is divisible by 2.
What are the factors of 37230?
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 73, 85, 102, 146, 170, 219, 255, 365, 438, 510, 730, 1095, 1241, 2190, 2482, 3723, 6205, 7446, 12410, 18615, 37230.
What is 37230 in binary?
1001000101101110 (hexadecimal 916E, octal 110556).
What is the square root of 37230?
About 192.9508.
Is 37230 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 37230?
37230 is a Harshad number: divisible by its digit sum 15.