The number 29680
29680 is a composite number with 40 divisors. Its prime factorisation is × 5 × 7 × 53. Divisors (40): 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 53, 56, 70 … 29680.
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How to work it out
- 1
29680 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29680 is composite. Its prime factorisation is
- 3
The divisors add up to 80352; without 29680 itself that is 50672, so 29680 is abundant (50672 is more than 29680). Euler's totient φ(29680) = 9984 numbers up to 29680 share no factor with it.
- 4
The digits of 29680 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 121 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29680 = 2^{4} \times 5 \times 7 \times 53 \]29680 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 80352 |
| Euler totient φ(n) | 9984 |
| Square | 880902400 |
| Cube | 26145183232000 |
| Square root | 172.278844 (= 4√1855) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 121 |
| Scientific notation | 2.968 × |
29680 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand six hundred and eighty |
| Binary (base 2) | 111001111110000 |
| Octal (base 8) | 71760 |
| Hexadecimal (base 16) | 73F0 |
| Base 3 | 1111201021 |
| As time | 29680 seconds = 8 h 14 min 40 s |
Is 29680 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29680 ÷ 2 = 14840) | 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 (29680 ÷ 4 = 7420) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (29680 ÷ 5 = 5936) | 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 (29680 ÷ 7 = 4240) | 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 (29680 ÷ 8 = 3710) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (29680 ÷ 10 = 2968) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 29680 a prime number?
No. 29680 = × 5 × 7 × 53, so it is divisible by 2.
What are the factors of 29680?
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 53, 56, 70, 80, 106, 112, 140, 212, 265, 280, 371, 424, 530, 560, 742, 848, 1060, 1484, 1855, 2120, 2968, 3710, 4240, 5936, 7420, 14840, 29680.
What is 29680 in binary?
111001111110000 (hexadecimal 73F0, octal 71760).
What is the square root of 29680?
About 172.2788, exactly 4√1855.
Is 29680 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 29680?
It is a composite number with 40 divisors.