The number 24460
24460 is a composite number with 12 divisors. Its prime factorisation is × 5 × 1223. Divisors (12): 1, 2, 4, 5, 10, 20, 1223, 2446, 4892, 6115, 12230, 24460.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
24460 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24460 is composite. Its prime factorisation is
- 3
The divisors add up to 51408; without 24460 itself that is 26948, so 24460 is abundant (26948 is more than 24460). Euler's totient φ(24460) = 9776 numbers up to 24460 share no factor with it.
- 4
The digits of 24460 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 113 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24460 = 2^{2} \times 5 \times 1223 \]24460 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 51408 |
| Euler totient φ(n) | 9776 |
| Square | 598291600 |
| Cube | 14634212536000 |
| Square root | 156.396931 (= 2√6115) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 113 |
| Scientific notation | 2.446 × |
24460 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand four hundred and sixty |
| Binary (base 2) | 101111110001100 |
| Octal (base 8) | 57614 |
| Hexadecimal (base 16) | 5F8C |
| Base 3 | 1020112221 |
| As time | 24460 seconds = 6 h 47 min 40 s |
Is 24460 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24460 ÷ 2 = 12230) | 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 (24460 ÷ 4 = 6115) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (24460 ÷ 5 = 4892) | 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 2) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (24460 ÷ 10 = 2446) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 24460 a prime number?
No. 24460 = × 5 × 1223, so it is divisible by 2.
What are the factors of 24460?
1, 2, 4, 5, 10, 20, 1223, 2446, 4892, 6115, 12230, 24460.
What is 24460 in binary?
101111110001100 (hexadecimal 5F8C, octal 57614).
What is the square root of 24460?
About 156.3969, exactly 2√6115.
Is 24460 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 24460?
It is a composite number with 12 divisors.