The number 24450
24450 is a composite number with 24 divisors. Its prime factorisation is 2 × 3 × × 163. Divisors (24): 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 163, 326, 489, 815 … 24450.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24450: a Harshad number: divisible by its digit sum 15.
- 2
24450 is composite. Its prime factorisation is
- 3
The divisors add up to 61008; without 24450 itself that is 36558, so 24450 is abundant (36558 is more than 24450). Euler's totient φ(24450) = 6480 numbers up to 24450 share no factor with it.
- 4
The digits of 24450 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 157 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24450 = 2 \times 3 \times 5^{2} \times 163 \]24450 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 61008 |
| Euler totient φ(n) | 6480 |
| Square | 597802500 |
| Cube | 14616271125000 |
| Square root | 156.364958 (= 5√978) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 157 |
| Scientific notation | 2.445 × |
24450 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand four hundred and fifty |
| Binary (base 2) | 101111110000010 |
| Octal (base 8) | 57602 |
| Hexadecimal (base 16) | 5F82 |
| Base 3 | 1020112120 |
| As time | 24450 seconds = 6 h 47 min 30 s |
Is 24450 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24450 ÷ 2 = 12225) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24450 ÷ 3 = 8150) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (24450 ÷ 5 = 4890) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (24450 ÷ 6 = 4075) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (24450 ÷ 10 = 2445) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24450 a prime number?
No. 24450 = 2 × 3 × × 163, so it is divisible by 2.
What are the factors of 24450?
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 163, 326, 489, 815, 978, 1630, 2445, 4075, 4890, 8150, 12225, 24450.
What is 24450 in binary?
101111110000010 (hexadecimal 5F82, octal 57602).
What is the square root of 24450?
About 156.3650, exactly 5√978.
Is 24450 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 24450?
24450 is a Harshad number: divisible by its digit sum 15.