The number 28137
28137 is a composite number with 8 divisors. Its prime factorisation is 3 × 83 × 113. Divisors (8): 1, 3, 83, 113, 249, 339, 9379, 28137.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
28137 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
28137 is composite. Its prime factorisation is
- 3
The divisors add up to 38304; without 28137 itself that is 10167, so 28137 is deficient (10167 is less than 28137). Euler's totient φ(28137) = 18368 numbers up to 28137 share no factor with it.
- 4
The digits of 28137 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 82 steps to reach 1.
LaTeX source of the formulas on this page
\[ 28137 = 3 \times 83 \times 113 \]
28137 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 38304 |
| Euler totient φ(n) | 18368 |
| Square | 791690769 |
| Cube | 22275803167353 |
| Square root | 167.740872 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 82 |
| Scientific notation | 2.8137 × |
28137 in other forms
| Form | Value |
|---|---|
| In words | twenty-eight thousand one hundred and thirty-seven |
| Binary (base 2) | 110110111101001 |
| Octal (base 8) | 66751 |
| Hexadecimal (base 16) | 6DE9 |
| Base 3 | 1102121010 |
| As time | 28137 seconds = 7 h 48 min 57 s |
Is 28137 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (28137 ÷ 3 = 9379) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 28137 a prime number?
No. 28137 = 3 × 83 × 113, so it is divisible by 3.
What are the factors of 28137?
1, 3, 83, 113, 249, 339, 9379, 28137.
What is 28137 in binary?
110110111101001 (hexadecimal 6DE9, octal 66751).
What is the square root of 28137?
About 167.7409.
Is 28137 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 28137?
It is a composite number with 8 divisors.