The number 29028
29028 is a composite number with 24 divisors. Its prime factorisation is × 3 × 41 × 59. Divisors (24): 1, 2, 3, 4, 6, 12, 41, 59, 82, 118, 123, 164, 177, 236, 246, 354 … 29028.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29028 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29028 is composite. Its prime factorisation is
- 3
The divisors add up to 70560; without 29028 itself that is 41532, so 29028 is abundant (41532 is more than 29028). Euler's totient φ(29028) = 9280 numbers up to 29028 share no factor with it.
- 4
The digits of 29028 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 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29028 = 2^{2} \times 3 \times 41 \times 59 \]29028 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 70560 |
| Euler totient φ(n) | 9280 |
| Square | 842624784 |
| Cube | 24459712229952 |
| Square root | 170.376055 (= 2√7257) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 72 |
| Scientific notation | 2.9028 × |
29028 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand and twenty-eight |
| Binary (base 2) | 111000101100100 |
| Octal (base 8) | 70544 |
| Hexadecimal (base 16) | 7164 |
| Base 3 | 1110211010 |
| As time | 29028 seconds = 8 h 3 min 48 s |
Is 29028 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29028 ÷ 2 = 14514) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (29028 ÷ 3 = 9676) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (29028 ÷ 4 = 7257) | 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 | Yes (29028 ÷ 6 = 4838) | 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 3) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (29028 ÷ 12 = 2419) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29028 a prime number?
No. 29028 = × 3 × 41 × 59, so it is divisible by 2.
What are the factors of 29028?
1, 2, 3, 4, 6, 12, 41, 59, 82, 118, 123, 164, 177, 236, 246, 354, 492, 708, 2419, 4838, 7257, 9676, 14514, 29028.
What is 29028 in binary?
111000101100100 (hexadecimal 7164, octal 70544).
What is the square root of 29028?
About 170.3761, exactly 2√7257.
Is 29028 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 29028?
It is a composite number with 24 divisors.