The number 29348
29348 is a composite number with 24 divisors. Its prime factorisation is × 11 × 23 × 29. Divisors (24): 1, 2, 4, 11, 22, 23, 29, 44, 46, 58, 92, 116, 253, 319, 506, 638 … 29348.
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How to work it out
- 1
29348 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29348 is composite. Its prime factorisation is
- 3
The divisors add up to 60480; without 29348 itself that is 31132, so 29348 is abundant (31132 is more than 29348). Euler's totient φ(29348) = 12320 numbers up to 29348 share no factor with it.
- 4
The digits of 29348 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 178 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29348 = 2^{2} \times 11 \times 23 \times 29 \]29348 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 60480 |
| Euler totient φ(n) | 12320 |
| Square | 861305104 |
| Cube | 25277582192192 |
| Square root | 171.312580 (= 2√7337) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 178 |
| Scientific notation | 2.9348 × |
29348 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand three hundred and forty-eight |
| Binary (base 2) | 111001010100100 |
| Octal (base 8) | 71244 |
| Hexadecimal (base 16) | 72A4 |
| Base 3 | 1111020222 |
| As time | 29348 seconds = 8 h 9 min 8 s |
Is 29348 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29348 ÷ 2 = 14674) | 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 (29348 ÷ 4 = 7337) | 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 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 | No (remainder 8) | 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 | Yes (29348 ÷ 11 = 2668) | 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 29348 a prime number?
No. 29348 = × 11 × 23 × 29, so it is divisible by 2.
What are the factors of 29348?
1, 2, 4, 11, 22, 23, 29, 44, 46, 58, 92, 116, 253, 319, 506, 638, 667, 1012, 1276, 1334, 2668, 7337, 14674, 29348.
What is 29348 in binary?
111001010100100 (hexadecimal 72A4, octal 71244).
What is the square root of 29348?
About 171.3126, exactly 2√7337.
Is 29348 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 29348?
It is a composite number with 24 divisors.