The number 24900
24900 is a composite number with 36 divisors. Its prime factorisation is × 3 × × 83. Divisors (36): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 83 … 24900.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24900: a Harshad number: divisible by its digit sum 15.
- 2
24900 is composite. Its prime factorisation is
- 3
The divisors add up to 72912; without 24900 itself that is 48012, so 24900 is abundant (48012 is more than 24900). Euler's totient φ(24900) = 6560 numbers up to 24900 share no factor with it.
- 4
The digits of 24900 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 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24900 = 2^{2} \times 3 \times 5^{2} \times 83 \]24900 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 72912 |
| Euler totient φ(n) | 6560 |
| Square | 620010000 |
| Cube | 15438249000000 |
| Square root | 157.797338 (= 10√249) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 38 |
| Scientific notation | 2.49 × |
24900 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand nine hundred |
| Binary (base 2) | 110000101000100 |
| Octal (base 8) | 60504 |
| Hexadecimal (base 16) | 6144 |
| Base 3 | 1021011020 |
| As time | 24900 seconds = 6 h 55 min 0 s |
Is 24900 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24900 ÷ 2 = 12450) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24900 ÷ 3 = 8300) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (24900 ÷ 4 = 6225) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (24900 ÷ 5 = 4980) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (24900 ÷ 6 = 4150) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (24900 ÷ 10 = 2490) | 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 | Yes (24900 ÷ 12 = 2075) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24900 a prime number?
No. 24900 = × 3 × × 83, so it is divisible by 2.
What are the factors of 24900?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 83, 100, 150, 166, 249, 300, 332, 415, 498, 830, 996, 1245, 1660, 2075, 2490, 4150, 4980, 6225, 8300, 12450, 24900.
What is 24900 in binary?
110000101000100 (hexadecimal 6144, octal 60504).
What is the square root of 24900?
About 157.7973, exactly 10√249.
Is 24900 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 24900?
24900 is a Harshad number: divisible by its digit sum 15.