The number 29880
29880 is a composite number with 48 divisors. Its prime factorisation is × × 5 × 83. Divisors (48): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36 … 29880.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29880 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29880 is composite. Its prime factorisation is
- 3
The divisors add up to 98280; without 29880 itself that is 68400, so 29880 is abundant (68400 is more than 29880). Euler's totient φ(29880) = 7872 numbers up to 29880 share no factor with it.
- 4
The digits of 29880 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29880 = 2^{3} \times 3^{2} \times 5 \times 83 \]29880 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 98280 |
| Euler totient φ(n) | 7872 |
| Square | 892814400 |
| Cube | 26677294272000 |
| Square root | 172.858323 (= 6√830) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 41 |
| Scientific notation | 2.988 × |
29880 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand eight hundred and eighty |
| Binary (base 2) | 111010010111000 |
| Octal (base 8) | 72270 |
| Hexadecimal (base 16) | 74B8 |
| Base 3 | 1111222200 |
| As time | 29880 seconds = 8 h 18 min 0 s |
Is 29880 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29880 ÷ 2 = 14940) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (29880 ÷ 3 = 9960) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (29880 ÷ 4 = 7470) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (29880 ÷ 5 = 5976) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (29880 ÷ 6 = 4980) | 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 | Yes (29880 ÷ 8 = 3735) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (29880 ÷ 9 = 3320) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (29880 ÷ 10 = 2988) | 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 (29880 ÷ 12 = 2490) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29880 a prime number?
No. 29880 = × × 5 × 83, so it is divisible by 2.
What are the factors of 29880?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 83, 90, 120, 166, 180, 249, 332, 360, 415, 498, 664, 747, 830, 996, 1245, 1494, 1660, 1992, 2490, 2988, 3320, 3735, 4980, 5976, 7470, 9960, 14940, 29880.
What is 29880 in binary?
111010010111000 (hexadecimal 74B8, octal 72270).
What is the square root of 29880?
About 172.8583, exactly 6√830.
Is 29880 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 29880?
It is a composite number with 48 divisors.