The number 28134
28134 is a composite number with 16 divisors. Its prime factorisation is 2 × × 521. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 521, 1042, 1563, 3126, 4689, 9378, 14067, 28134.
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How to work it out
- 1
What is special about 28134: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
28134 is composite. Its prime factorisation is
- 3
The divisors add up to 62640; without 28134 itself that is 34506, so 28134 is abundant (34506 is more than 28134). Euler's totient φ(28134) = 9360 numbers up to 28134 share no factor with it.
- 4
The digits of 28134 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 108 steps to reach 1.
LaTeX source of the formulas on this page
\[ 28134 = 2 \times 3^{3} \times 521 \]28134 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 62640 |
| Euler totient φ(n) | 9360 |
| Square | 791521956 |
| Cube | 22268678710104 |
| Square root | 167.731929 (= 3√3126) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 108 |
| Scientific notation | 2.8134 × |
28134 in other forms
| Form | Value |
|---|---|
| In words | twenty-eight thousand one hundred and thirty-four |
| Binary (base 2) | 110110111100110 |
| Octal (base 8) | 66746 |
| Hexadecimal (base 16) | 6DE6 |
| Base 3 | 1102121000 |
| As time | 28134 seconds = 7 h 48 min 54 s |
Is 28134 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (28134 ÷ 2 = 14067) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (28134 ÷ 3 = 9378) | 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 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (28134 ÷ 6 = 4689) | 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 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (28134 ÷ 9 = 3126) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 28134 a prime number?
No. 28134 = 2 × × 521, so it is divisible by 2.
What are the factors of 28134?
1, 2, 3, 6, 9, 18, 27, 54, 521, 1042, 1563, 3126, 4689, 9378, 14067, 28134.
What is 28134 in binary?
110110111100110 (hexadecimal 6DE6, octal 66746).
What is the square root of 28134?
About 167.7319, exactly 3√3126.
Is 28134 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 28134?
28134 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.