The number 29428
29428 is a composite number with 12 divisors. Its prime factorisation is × 7 × 1051. Divisors (12): 1, 2, 4, 7, 14, 28, 1051, 2102, 4204, 7357, 14714, 29428.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29428 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29428 is composite. Its prime factorisation is
- 3
The divisors add up to 58912; without 29428 itself that is 29484, so 29428 is abundant (29484 is more than 29428). Euler's totient φ(29428) = 12600 numbers up to 29428 share no factor with it.
- 4
The digits of 29428 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 165 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29428 = 2^{2} \times 7 \times 1051 \]29428 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 58912 |
| Euler totient φ(n) | 12600 |
| Square | 866007184 |
| Cube | 25484859410752 |
| Square root | 171.545912 (= 2√7357) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 165 |
| Scientific notation | 2.9428 × |
29428 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand four hundred and twenty-eight |
| Binary (base 2) | 111001011110100 |
| Octal (base 8) | 71364 |
| Hexadecimal (base 16) | 72F4 |
| Base 3 | 1111100221 |
| As time | 29428 seconds = 8 h 10 min 28 s |
Is 29428 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29428 ÷ 2 = 14714) | 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 (29428 ÷ 4 = 7357) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (29428 ÷ 7 = 4204) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 29428 a prime number?
No. 29428 = × 7 × 1051, so it is divisible by 2.
What are the factors of 29428?
1, 2, 4, 7, 14, 28, 1051, 2102, 4204, 7357, 14714, 29428.
What is 29428 in binary?
111001011110100 (hexadecimal 72F4, octal 71364).
What is the square root of 29428?
About 171.5459, exactly 2√7357.
Is 29428 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 29428?
It is a composite number with 12 divisors.