The number 29440
29440 is a composite number with 36 divisors. Its prime factorisation is × 5 × 23. Divisors (36): 1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 64, 80, 92, 115 … 29440.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29440 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29440 is composite. Its prime factorisation is
- 3
The divisors add up to 73584; without 29440 itself that is 44144, so 29440 is abundant (44144 is more than 29440). Euler's totient φ(29440) = 11264 numbers up to 29440 share no factor with it.
- 4
The digits of 29440 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29440 = 2^{8} \times 5 \times 23 \]29440 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 73584 |
| Euler totient φ(n) | 11264 |
| Square | 866713600 |
| Cube | 25516048384000 |
| Square root | 171.580885 (= 16√115) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 41 |
| Scientific notation | 2.944 × |
29440 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand four hundred and forty |
| Binary (base 2) | 111001100000000 |
| Octal (base 8) | 71400 |
| Hexadecimal (base 16) | 7300 |
| Base 3 | 1111101101 |
| As time | 29440 seconds = 8 h 10 min 40 s |
Is 29440 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29440 ÷ 2 = 14720) | 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 (29440 ÷ 4 = 7360) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (29440 ÷ 5 = 5888) | 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 | 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 | Yes (29440 ÷ 8 = 3680) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (29440 ÷ 10 = 2944) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29440 a prime number?
No. 29440 = × 5 × 23, so it is divisible by 2.
What are the factors of 29440?
1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 64, 80, 92, 115, 128, 160, 184, 230, 256, 320, 368, 460, 640, 736, 920, 1280, 1472, 1840, 2944, 3680, 5888, 7360, 14720, 29440.
What is 29440 in binary?
111001100000000 (hexadecimal 7300, octal 71400).
What is the square root of 29440?
About 171.5809, exactly 16√115.
Is 29440 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 29440?
It is a composite number with 36 divisors.