The number 29840
29840 is a composite number with 20 divisors. Its prime factorisation is × 5 × 373. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 373, 746, 1492, 1865, 2984, 3730 … 29840.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29840 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29840 is composite. Its prime factorisation is
- 3
The divisors add up to 69564; without 29840 itself that is 39724, so 29840 is abundant (39724 is more than 29840). Euler's totient φ(29840) = 11904 numbers up to 29840 share no factor with it.
- 4
The digits of 29840 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29840 = 2^{4} \times 5 \times 373 \]29840 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 69564 |
| Euler totient φ(n) | 11904 |
| Square | 890425600 |
| Cube | 26570299904000 |
| Square root | 172.742583 (= 4√1865) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 72 |
| Scientific notation | 2.984 × |
29840 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand eight hundred and forty |
| Binary (base 2) | 111010010010000 |
| Octal (base 8) | 72220 |
| Hexadecimal (base 16) | 7490 |
| Base 3 | 1111221012 |
| As time | 29840 seconds = 8 h 17 min 20 s |
Is 29840 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29840 ÷ 2 = 14920) | 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 (29840 ÷ 4 = 7460) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (29840 ÷ 5 = 5968) | 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 6) | 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 (29840 ÷ 8 = 3730) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (29840 ÷ 10 = 2984) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 29840 a prime number?
No. 29840 = × 5 × 373, so it is divisible by 2.
What are the factors of 29840?
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 373, 746, 1492, 1865, 2984, 3730, 5968, 7460, 14920, 29840.
What is 29840 in binary?
111010010010000 (hexadecimal 7490, octal 72220).
What is the square root of 29840?
About 172.7426, exactly 4√1865.
Is 29840 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 29840?
It is a composite number with 20 divisors.