The number 24780
24780 is a composite number with 48 divisors. Its prime factorisation is × 3 × 5 × 7 × 59. Divisors (48): 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35 … 24780.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24780: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.
- 2
24780 is composite. Its prime factorisation is
- 3
The divisors add up to 80640; without 24780 itself that is 55860, so 24780 is abundant (55860 is more than 24780). Euler's totient φ(24780) = 5568 numbers up to 24780 share no factor with it.
- 4
The digits of 24780 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 188 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24780 = 2^{2} \times 3 \times 5 \times 7 \times 59 \]24780 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 80640 |
| Euler totient φ(n) | 5568 |
| Square | 614048400 |
| Cube | 15216119352000 |
| Square root | 157.416645 (= 2√6195) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 188 |
| Scientific notation | 2.478 × |
24780 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand seven hundred and eighty |
| Binary (base 2) | 110000011001100 |
| Octal (base 8) | 60314 |
| Hexadecimal (base 16) | 60CC |
| Base 3 | 1020222210 |
| As time | 24780 seconds = 6 h 53 min 0 s |
Is 24780 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24780 ÷ 2 = 12390) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24780 ÷ 3 = 8260) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (24780 ÷ 4 = 6195) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (24780 ÷ 5 = 4956) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (24780 ÷ 6 = 4130) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (24780 ÷ 7 = 3540) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (24780 ÷ 10 = 2478) | 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 | Yes (24780 ÷ 12 = 2065) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24780 a prime number?
No. 24780 = × 3 × 5 × 7 × 59, so it is divisible by 2.
What are the factors of 24780?
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 59, 60, 70, 84, 105, 118, 140, 177, 210, 236, 295, 354, 413, 420, 590, 708, 826, 885, 1180, 1239, 1652, 1770, 2065, 2478, 3540, 4130, 4956, 6195, 8260, 12390, 24780.
What is 24780 in binary?
110000011001100 (hexadecimal 60CC, octal 60314).
What is the square root of 24780?
About 157.4166, exactly 2√6195.
Is 24780 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 24780?
24780 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.