The number 29848
29848 is a composite number with 32 divisors. Its prime factorisation is × 7 × 13 × 41. Divisors (32): 1, 2, 4, 7, 8, 13, 14, 26, 28, 41, 52, 56, 82, 91, 104, 164 … 29848.
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How to work it out
- 1
29848 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29848 is composite. Its prime factorisation is
- 3
The divisors add up to 70560; without 29848 itself that is 40712, so 29848 is abundant (40712 is more than 29848). Euler's totient φ(29848) = 11520 numbers up to 29848 share no factor with it.
- 4
The digits of 29848 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29848 = 2^{3} \times 7 \times 13 \times 41 \]29848 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 70560 |
| Euler totient φ(n) | 11520 |
| Square | 890903104 |
| Cube | 26591675848192 |
| Square root | 172.765737 (= 2√7462) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 72 |
| Scientific notation | 2.9848 × |
29848 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand eight hundred and forty-eight |
| Binary (base 2) | 111010010011000 |
| Octal (base 8) | 72230 |
| Hexadecimal (base 16) | 7498 |
| Base 3 | 1111221111 |
| As time | 29848 seconds = 8 h 17 min 28 s |
Is 29848 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29848 ÷ 2 = 14924) | 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 (29848 ÷ 4 = 7462) | 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 (29848 ÷ 7 = 4264) | 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 (29848 ÷ 8 = 3731) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29848 a prime number?
No. 29848 = × 7 × 13 × 41, so it is divisible by 2.
What are the factors of 29848?
1, 2, 4, 7, 8, 13, 14, 26, 28, 41, 52, 56, 82, 91, 104, 164, 182, 287, 328, 364, 533, 574, 728, 1066, 1148, 2132, 2296, 3731, 4264, 7462, 14924, 29848.
What is 29848 in binary?
111010010011000 (hexadecimal 7498, octal 72230).
What is the square root of 29848?
About 172.7657, exactly 2√7462.
Is 29848 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 29848?
It is a composite number with 32 divisors.