The number 29648
29648 is a composite number with 20 divisors. Its prime factorisation is × 17 × 109. Divisors (20): 1, 2, 4, 8, 16, 17, 34, 68, 109, 136, 218, 272, 436, 872, 1744, 1853 … 29648.
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How to work it out
- 1
29648 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29648 is composite. Its prime factorisation is
- 3
The divisors add up to 61380; without 29648 itself that is 31732, so 29648 is abundant (31732 is more than 29648). Euler's totient φ(29648) = 13824 numbers up to 29648 share no factor with it.
- 4
The digits of 29648 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 134 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29648 = 2^{4} \times 17 \times 109 \]29648 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 61380 |
| Euler totient φ(n) | 13824 |
| Square | 879003904 |
| Cube | 26060707745792 |
| Square root | 172.185946 (= 4√1853) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 134 |
| Scientific notation | 2.9648 × |
29648 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand six hundred and forty-eight |
| Binary (base 2) | 111001111010000 |
| Octal (base 8) | 71720 |
| Hexadecimal (base 16) | 73D0 |
| Base 3 | 1111200002 |
| As time | 29648 seconds = 8 h 14 min 8 s |
Is 29648 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29648 ÷ 2 = 14824) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (29648 ÷ 4 = 7412) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (29648 ÷ 8 = 3706) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29648 a prime number?
No. 29648 = × 17 × 109, so it is divisible by 2.
What are the factors of 29648?
1, 2, 4, 8, 16, 17, 34, 68, 109, 136, 218, 272, 436, 872, 1744, 1853, 3706, 7412, 14824, 29648.
What is 29648 in binary?
111001111010000 (hexadecimal 73D0, octal 71720).
What is the square root of 29648?
About 172.1859, exactly 4√1853.
Is 29648 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 29648?
It is a composite number with 20 divisors.