The number 24680
24680 is a composite number with 16 divisors. Its prime factorisation is × 5 × 617. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 617, 1234, 2468, 3085, 4936, 6170, 12340, 24680.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24680: a Harshad number: divisible by its digit sum 20.
- 2
24680 is composite. Its prime factorisation is
- 3
The divisors add up to 55620; without 24680 itself that is 30940, so 24680 is abundant (30940 is more than 24680). Euler's totient φ(24680) = 9856 numbers up to 24680 share no factor with it.
- 4
The digits of 24680 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24680 = 2^{3} \times 5 \times 617 \]24680 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 55620 |
| Euler totient φ(n) | 9856 |
| Square | 609102400 |
| Cube | 15032647232000 |
| Square root | 157.098695 (= 2√6170) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 38 |
| Scientific notation | 2.468 × |
24680 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand six hundred and eighty |
| Binary (base 2) | 110000001101000 |
| Octal (base 8) | 60150 |
| Hexadecimal (base 16) | 6068 |
| Base 3 | 1020212002 |
| As time | 24680 seconds = 6 h 51 min 20 s |
Is 24680 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24680 ÷ 2 = 12340) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (24680 ÷ 4 = 6170) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (24680 ÷ 5 = 4936) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 (24680 ÷ 8 = 3085) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (24680 ÷ 10 = 2468) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24680 a prime number?
No. 24680 = × 5 × 617, so it is divisible by 2.
What are the factors of 24680?
1, 2, 4, 5, 8, 10, 20, 40, 617, 1234, 2468, 3085, 4936, 6170, 12340, 24680.
What is 24680 in binary?
110000001101000 (hexadecimal 6068, octal 60150).
What is the square root of 24680?
About 157.0987, exactly 2√6170.
Is 24680 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 24680?
24680 is a Harshad number: divisible by its digit sum 20.