The number 37428
37428 is a composite number with 12 divisors. Its prime factorisation is × 3 × 3119. Divisors (12): 1, 2, 3, 4, 6, 12, 3119, 6238, 9357, 12476, 18714, 37428.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
37428 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37428 is composite. Its prime factorisation is
- 3
The divisors add up to 87360; without 37428 itself that is 49932, so 37428 is abundant (49932 is more than 37428). Euler's totient φ(37428) = 12472 numbers up to 37428 share no factor with it.
- 4
The digits of 37428 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 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37428 = 2^{2} \times 3 \times 3119 \]37428 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 87360 |
| Euler totient φ(n) | 12472 |
| Square | 1400855184 |
| Cube | 52431207826752 |
| Square root | 193.463175 (= 2√9357) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 62 |
| Scientific notation | 3.7428 × |
37428 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand four hundred and twenty-eight |
| Binary (base 2) | 1001001000110100 |
| Octal (base 8) | 111064 |
| Hexadecimal (base 16) | 9234 |
| Base 3 | 1220100020 |
| As time | 37428 seconds = 10 h 23 min 48 s |
Is 37428 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37428 ÷ 2 = 18714) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (37428 ÷ 3 = 12476) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (37428 ÷ 4 = 9357) | 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 (37428 ÷ 6 = 6238) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (37428 ÷ 12 = 3119) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37428 a prime number?
No. 37428 = × 3 × 3119, so it is divisible by 2.
What are the factors of 37428?
1, 2, 3, 4, 6, 12, 3119, 6238, 9357, 12476, 18714, 37428.
What is 37428 in binary?
1001001000110100 (hexadecimal 9234, octal 111064).
What is the square root of 37428?
About 193.4632, exactly 2√9357.
Is 37428 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 37428?
It is a composite number with 12 divisors.