The number 29628
29628 is a composite number with 18 divisors. Its prime factorisation is × × 823. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 823, 1646, 2469, 3292, 4938, 7407, 9876 … 29628.
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How to work it out
- 1
29628 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29628 is composite. Its prime factorisation is
- 3
The divisors add up to 74984; without 29628 itself that is 45356, so 29628 is abundant (45356 is more than 29628). Euler's totient φ(29628) = 9864 numbers up to 29628 share no factor with it.
- 4
The digits of 29628 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29628 = 2^{2} \times 3^{2} \times 823 \]29628 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 74984 |
| Euler totient φ(n) | 9864 |
| Square | 877818384 |
| Cube | 26008003081152 |
| Square root | 172.127859 (= 6√823) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 59 |
| Scientific notation | 2.9628 × |
29628 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand six hundred and twenty-eight |
| Binary (base 2) | 111001110111100 |
| Octal (base 8) | 71674 |
| Hexadecimal (base 16) | 73BC |
| Base 3 | 1111122100 |
| As time | 29628 seconds = 8 h 13 min 48 s |
Is 29628 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29628 ÷ 2 = 14814) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (29628 ÷ 3 = 9876) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (29628 ÷ 4 = 7407) | 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 (29628 ÷ 6 = 4938) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (29628 ÷ 9 = 3292) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (29628 ÷ 12 = 2469) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29628 a prime number?
No. 29628 = × × 823, so it is divisible by 2.
What are the factors of 29628?
1, 2, 3, 4, 6, 9, 12, 18, 36, 823, 1646, 2469, 3292, 4938, 7407, 9876, 14814, 29628.
What is 29628 in binary?
111001110111100 (hexadecimal 73BC, octal 71674).
What is the square root of 29628?
About 172.1279, exactly 6√823.
Is 29628 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 29628?
It is a composite number with 18 divisors.