The number 37028
37028 is a composite number with 6 divisors. Its prime factorisation is × 9257. Divisors (6): 1, 2, 4, 9257, 18514, 37028.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
37028 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37028 is composite. Its prime factorisation is
- 3
The divisors add up to 64806; without 37028 itself that is 27778, so 37028 is deficient (27778 is less than 37028). Euler's totient φ(37028) = 18512 numbers up to 37028 share no factor with it.
- 4
The digits of 37028 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 261 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37028 = 2^{2} \times 9257 \]37028 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 64806 |
| Euler totient φ(n) | 18512 |
| Square | 1371072784 |
| Cube | 50768083045952 |
| Square root | 192.426609 (= 2√9257) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 261 |
| Scientific notation | 3.7028 × |
37028 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand and twenty-eight |
| Binary (base 2) | 1001000010100100 |
| Octal (base 8) | 110244 |
| Hexadecimal (base 16) | 90A4 |
| Base 3 | 1212210102 |
| As time | 37028 seconds = 10 h 17 min 8 s |
Is 37028 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37028 ÷ 2 = 18514) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (37028 ÷ 4 = 9257) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 2) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37028 a prime number?
No. 37028 = × 9257, so it is divisible by 2.
What are the factors of 37028?
1, 2, 4, 9257, 18514, 37028.
What is 37028 in binary?
1001000010100100 (hexadecimal 90A4, octal 110244).
What is the square root of 37028?
About 192.4266, exactly 2√9257.
Is 37028 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 37028?
It is a composite number with 6 divisors.