The number 24464
24464 is a composite number with 20 divisors. Its prime factorisation is × 11 × 139. Divisors (20): 1, 2, 4, 8, 11, 16, 22, 44, 88, 139, 176, 278, 556, 1112, 1529, 2224 … 24464.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
24464 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24464 is composite. Its prime factorisation is
- 3
The divisors add up to 52080; without 24464 itself that is 27616, so 24464 is abundant (27616 is more than 24464). Euler's totient φ(24464) = 11040 numbers up to 24464 share no factor with it.
- 4
The digits of 24464 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24464 = 2^{4} \times 11 \times 139 \]24464 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 52080 |
| Euler totient φ(n) | 11040 |
| Square | 598487296 |
| Cube | 14641393209344 |
| Square root | 156.409718 (= 4√1529) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 64 |
| Scientific notation | 2.4464 × |
24464 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand four hundred and sixty-four |
| Binary (base 2) | 101111110010000 |
| Octal (base 8) | 57620 |
| Hexadecimal (base 16) | 5F90 |
| Base 3 | 1020120002 |
| As time | 24464 seconds = 6 h 47 min 44 s |
Is 24464 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24464 ÷ 2 = 12232) | 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 (24464 ÷ 4 = 6116) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 (24464 ÷ 8 = 3058) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (24464 ÷ 11 = 2224) | 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 24464 a prime number?
No. 24464 = × 11 × 139, so it is divisible by 2.
What are the factors of 24464?
1, 2, 4, 8, 11, 16, 22, 44, 88, 139, 176, 278, 556, 1112, 1529, 2224, 3058, 6116, 12232, 24464.
What is 24464 in binary?
101111110010000 (hexadecimal 5F90, octal 57620).
What is the square root of 24464?
About 156.4097, exactly 4√1529.
Is 24464 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 24464?
It is a composite number with 20 divisors.