The number 24440
24440 is a composite number with 32 divisors. Its prime factorisation is × 5 × 13 × 47. Divisors (32): 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 47, 52, 65, 94, 104, 130 … 24440.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
24440 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24440 is composite. Its prime factorisation is
- 3
The divisors add up to 60480; without 24440 itself that is 36040, so 24440 is abundant (36040 is more than 24440). Euler's totient φ(24440) = 8832 numbers up to 24440 share no factor with it.
- 4
The digits of 24440 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 95 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24440 = 2^{3} \times 5 \times 13 \times 47 \]24440 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 60480 |
| Euler totient φ(n) | 8832 |
| Square | 597313600 |
| Cube | 14598344384000 |
| Square root | 156.332978 (= 2√6110) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 95 |
| Scientific notation | 2.444 × |
24440 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand four hundred and forty |
| Binary (base 2) | 101111101111000 |
| Octal (base 8) | 57570 |
| Hexadecimal (base 16) | 5F78 |
| Base 3 | 1020112012 |
| As time | 24440 seconds = 6 h 47 min 20 s |
Is 24440 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24440 ÷ 2 = 12220) | 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 (24440 ÷ 4 = 6110) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (24440 ÷ 5 = 4888) | 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 3) | 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 (24440 ÷ 8 = 3055) | 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 (24440 ÷ 10 = 2444) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 24440 a prime number?
No. 24440 = × 5 × 13 × 47, so it is divisible by 2.
What are the factors of 24440?
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 47, 52, 65, 94, 104, 130, 188, 235, 260, 376, 470, 520, 611, 940, 1222, 1880, 2444, 3055, 4888, 6110, 12220, 24440.
What is 24440 in binary?
101111101111000 (hexadecimal 5F78, octal 57570).
What is the square root of 24440?
About 156.3330, exactly 2√6110.
Is 24440 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 24440?
It is a composite number with 32 divisors.