The number 24400
24400 is a composite number with 30 divisors. Its prime factorisation is × × 61. Divisors (30): 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 61, 80, 100, 122, 200 … 24400.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24400: a Harshad number: divisible by its digit sum 10.
- 2
24400 is composite. Its prime factorisation is
- 3
The divisors add up to 59582; without 24400 itself that is 35182, so 24400 is abundant (35182 is more than 24400). Euler's totient φ(24400) = 9600 numbers up to 24400 share no factor with it.
- 4
The digits of 24400 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 113 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24400 = 2^{4} \times 5^{2} \times 61 \]24400 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 59582 |
| Euler totient φ(n) | 9600 |
| Square | 595360000 |
| Cube | 14526784000000 |
| Square root | 156.204994 (= 20√61) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 113 |
| Scientific notation | 2.44 × |
24400 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand four hundred |
| Binary (base 2) | 101111101010000 |
| Octal (base 8) | 57520 |
| Hexadecimal (base 16) | 5F50 |
| Base 3 | 1020110201 |
| As time | 24400 seconds = 6 h 46 min 40 s |
Is 24400 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24400 ÷ 2 = 12200) | 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 (24400 ÷ 4 = 6100) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (24400 ÷ 5 = 4880) | 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 (24400 ÷ 8 = 3050) | 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 (24400 ÷ 10 = 2440) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 24400 a prime number?
No. 24400 = × × 61, so it is divisible by 2.
What are the factors of 24400?
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 61, 80, 100, 122, 200, 244, 305, 400, 488, 610, 976, 1220, 1525, 2440, 3050, 4880, 6100, 12200, 24400.
What is 24400 in binary?
101111101010000 (hexadecimal 5F50, octal 57520).
What is the square root of 24400?
About 156.2050, exactly 20√61.
Is 24400 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 24400?
24400 is a Harshad number: divisible by its digit sum 10.