The number 24714
24714 is a composite number with 12 divisors. Its prime factorisation is 2 × × 1373. Divisors (12): 1, 2, 3, 6, 9, 18, 1373, 2746, 4119, 8238, 12357, 24714.
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How to work it out
- 1
What is special about 24714: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
24714 is composite. Its prime factorisation is
- 3
The divisors add up to 53586; without 24714 itself that is 28872, so 24714 is abundant (28872 is more than 24714). Euler's totient φ(24714) = 8232 numbers up to 24714 share no factor with it.
- 4
The digits of 24714 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24714 = 2 \times 3^{2} \times 1373 \]24714 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 53586 |
| Euler totient φ(n) | 8232 |
| Square | 610781796 |
| Cube | 15094861306344 |
| Square root | 157.206870 (= 3√2746) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 38 |
| Scientific notation | 2.4714 × |
24714 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand seven hundred and fourteen |
| Binary (base 2) | 110000010001010 |
| Octal (base 8) | 60212 |
| Hexadecimal (base 16) | 608A |
| Base 3 | 1020220100 |
| As time | 24714 seconds = 6 h 51 min 54 s |
Is 24714 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24714 ÷ 2 = 12357) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24714 ÷ 3 = 8238) | 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 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (24714 ÷ 6 = 4119) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (24714 ÷ 9 = 2746) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24714 a prime number?
No. 24714 = 2 × × 1373, so it is divisible by 2.
What are the factors of 24714?
1, 2, 3, 6, 9, 18, 1373, 2746, 4119, 8238, 12357, 24714.
What is 24714 in binary?
110000010001010 (hexadecimal 608A, octal 60212).
What is the square root of 24714?
About 157.2069, exactly 3√2746.
Is 24714 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 24714?
24714 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.