The number 29388
29388 is a composite number with 24 divisors. Its prime factorisation is × 3 × 31 × 79. Divisors (24): 1, 2, 3, 4, 6, 12, 31, 62, 79, 93, 124, 158, 186, 237, 316, 372 … 29388.
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How to work it out
- 1
29388 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29388 is composite. Its prime factorisation is
- 3
The divisors add up to 71680; without 29388 itself that is 42292, so 29388 is abundant (42292 is more than 29388). Euler's totient φ(29388) = 9360 numbers up to 29388 share no factor with it.
- 4
The digits of 29388 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 165 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29388 = 2^{2} \times 3 \times 31 \times 79 \]29388 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 71680 |
| Euler totient φ(n) | 9360 |
| Square | 863654544 |
| Cube | 25381079739072 |
| Square root | 171.429286 (= 2√7347) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 165 |
| Scientific notation | 2.9388 × |
29388 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand three hundred and eighty-eight |
| Binary (base 2) | 111001011001100 |
| Octal (base 8) | 71314 |
| Hexadecimal (base 16) | 72CC |
| Base 3 | 1111022110 |
| As time | 29388 seconds = 8 h 9 min 48 s |
Is 29388 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29388 ÷ 2 = 14694) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (29388 ÷ 3 = 9796) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (29388 ÷ 4 = 7347) | 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 (29388 ÷ 6 = 4898) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (29388 ÷ 12 = 2449) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29388 a prime number?
No. 29388 = × 3 × 31 × 79, so it is divisible by 2.
What are the factors of 29388?
1, 2, 3, 4, 6, 12, 31, 62, 79, 93, 124, 158, 186, 237, 316, 372, 474, 948, 2449, 4898, 7347, 9796, 14694, 29388.
What is 29388 in binary?
111001011001100 (hexadecimal 72CC, octal 71314).
What is the square root of 29388?
About 171.4293, exactly 2√7347.
Is 29388 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 29388?
It is a composite number with 24 divisors.