The number 24870
24870 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 829. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 829, 1658, 2487, 4145, 4974, 8290, 12435, 24870.
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How to work it out
- 1
What is special about 24870: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
24870 is composite. Its prime factorisation is
- 3
The divisors add up to 59760; without 24870 itself that is 34890, so 24870 is abundant (34890 is more than 24870). Euler's totient φ(24870) = 6624 numbers up to 24870 share no factor with it.
- 4
The digits of 24870 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 113 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24870 = 2 \times 3 \times 5 \times 829 \]
24870 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 59760 |
| Euler totient φ(n) | 6624 |
| Square | 618516900 |
| Cube | 15382515303000 |
| Square root | 157.702251 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 113 |
| Scientific notation | 2.487 × |
24870 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand eight hundred and seventy |
| Binary (base 2) | 110000100100110 |
| Octal (base 8) | 60446 |
| Hexadecimal (base 16) | 6126 |
| Base 3 | 1021010010 |
| As time | 24870 seconds = 6 h 54 min 30 s |
Is 24870 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24870 ÷ 2 = 12435) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24870 ÷ 3 = 8290) | 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 (24870 ÷ 5 = 4974) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (24870 ÷ 6 = 4145) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (24870 ÷ 10 = 2487) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 24870 a prime number?
No. 24870 = 2 × 3 × 5 × 829, so it is divisible by 2.
What are the factors of 24870?
1, 2, 3, 5, 6, 10, 15, 30, 829, 1658, 2487, 4145, 4974, 8290, 12435, 24870.
What is 24870 in binary?
110000100100110 (hexadecimal 6126, octal 60446).
What is the square root of 24870?
About 157.7023.
Is 24870 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 24870?
24870 is a happy number: repeatedly adding the squares of its digits reaches 1.