The number 24672
24672 is a composite number with 24 divisors. Its prime factorisation is × 3 × 257. Divisors (24): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 257, 514, 771, 1028 … 24672.
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How to work it out
- 1
What is special about 24672: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
24672 is composite. Its prime factorisation is
- 3
The divisors add up to 65016; without 24672 itself that is 40344, so 24672 is abundant (40344 is more than 24672). Euler's totient φ(24672) = 8192 numbers up to 24672 share no factor with it.
- 4
The digits of 24672 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 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24672 = 2^{5} \times 3 \times 257 \]24672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 65016 |
| Euler totient φ(n) | 8192 |
| Square | 608707584 |
| Cube | 15018033512448 |
| Square root | 157.073231 (= 4√1542) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 38 |
| Scientific notation | 2.4672 × |
24672 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand six hundred and seventy-two |
| Binary (base 2) | 110000001100000 |
| Octal (base 8) | 60140 |
| Hexadecimal (base 16) | 6060 |
| Base 3 | 1020211210 |
| As time | 24672 seconds = 6 h 51 min 12 s |
Is 24672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24672 ÷ 2 = 12336) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24672 ÷ 3 = 8224) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (24672 ÷ 4 = 6168) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (24672 ÷ 6 = 4112) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (24672 ÷ 8 = 3084) | 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 | No (remainder 2) | 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 | Yes (24672 ÷ 12 = 2056) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24672 a prime number?
No. 24672 = × 3 × 257, so it is divisible by 2.
What are the factors of 24672?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 257, 514, 771, 1028, 1542, 2056, 3084, 4112, 6168, 8224, 12336, 24672.
What is 24672 in binary?
110000001100000 (hexadecimal 6060, octal 60140).
What is the square root of 24672?
About 157.0732, exactly 4√1542.
Is 24672 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 24672?
24672 is a happy number: repeatedly adding the squares of its digits reaches 1.