The number 29748
29748 is a composite number with 24 divisors. Its prime factorisation is × 3 × 37 × 67. Divisors (24): 1, 2, 3, 4, 6, 12, 37, 67, 74, 111, 134, 148, 201, 222, 268, 402 … 29748.
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How to work it out
- 1
29748 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29748 is composite. Its prime factorisation is
- 3
The divisors add up to 72352; without 29748 itself that is 42604, so 29748 is abundant (42604 is more than 29748). Euler's totient φ(29748) = 9504 numbers up to 29748 share no factor with it.
- 4
The digits of 29748 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 134 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29748 = 2^{2} \times 3 \times 37 \times 67 \]29748 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 72352 |
| Euler totient φ(n) | 9504 |
| Square | 884943504 |
| Cube | 26325299356992 |
| Square root | 172.476085 (= 2√7437) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 134 |
| Scientific notation | 2.9748 × |
29748 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand seven hundred and forty-eight |
| Binary (base 2) | 111010000110100 |
| Octal (base 8) | 72064 |
| Hexadecimal (base 16) | 7434 |
| Base 3 | 1111210210 |
| As time | 29748 seconds = 8 h 15 min 48 s |
Is 29748 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29748 ÷ 2 = 14874) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (29748 ÷ 3 = 9916) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (29748 ÷ 4 = 7437) | 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 (29748 ÷ 6 = 4958) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (29748 ÷ 12 = 2479) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29748 a prime number?
No. 29748 = × 3 × 37 × 67, so it is divisible by 2.
What are the factors of 29748?
1, 2, 3, 4, 6, 12, 37, 67, 74, 111, 134, 148, 201, 222, 268, 402, 444, 804, 2479, 4958, 7437, 9916, 14874, 29748.
What is 29748 in binary?
111010000110100 (hexadecimal 7434, octal 72064).
What is the square root of 29748?
About 172.4761, exactly 2√7437.
Is 29748 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 29748?
It is a composite number with 24 divisors.