The number 28132
28132 is a composite number with 12 divisors. Its prime factorisation is × 13 × 541. Divisors (12): 1, 2, 4, 13, 26, 52, 541, 1082, 2164, 7033, 14066, 28132.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 28132: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
28132 is composite. Its prime factorisation is
- 3
The divisors add up to 53116; without 28132 itself that is 24984, so 28132 is deficient (24984 is less than 28132). Euler's totient φ(28132) = 12960 numbers up to 28132 share no factor with it.
- 4
The digits of 28132 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 108 steps to reach 1.
LaTeX source of the formulas on this page
\[ 28132 = 2^{2} \times 13 \times 541 \]28132 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 53116 |
| Euler totient φ(n) | 12960 |
| Square | 791409424 |
| Cube | 22263929915968 |
| Square root | 167.725967 (= 2√7033) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 108 |
| Scientific notation | 2.8132 × |
28132 in other forms
| Form | Value |
|---|---|
| In words | twenty-eight thousand one hundred and thirty-two |
| Binary (base 2) | 110110111100100 |
| Octal (base 8) | 66744 |
| Hexadecimal (base 16) | 6DE4 |
| Base 3 | 1102120221 |
| As time | 28132 seconds = 7 h 48 min 52 s |
Is 28132 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (28132 ÷ 2 = 14066) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (28132 ÷ 4 = 7033) | 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 4) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 28132 a prime number?
No. 28132 = × 13 × 541, so it is divisible by 2.
What are the factors of 28132?
1, 2, 4, 13, 26, 52, 541, 1082, 2164, 7033, 14066, 28132.
What is 28132 in binary?
110110111100100 (hexadecimal 6DE4, octal 66744).
What is the square root of 28132?
About 167.7260, exactly 2√7033.
Is 28132 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 28132?
28132 is a happy number: repeatedly adding the squares of its digits reaches 1.