The number 24147
24147 is a composite number with 6 divisors. Its prime factorisation is × 2683. Divisors (6): 1, 3, 9, 2683, 8049, 24147.
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How to work it out
- 1
What is special about 24147: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
24147 is composite. Its prime factorisation is
- 3
The divisors add up to 34892; without 24147 itself that is 10745, so 24147 is deficient (10745 is less than 24147). Euler's totient φ(24147) = 16092 numbers up to 24147 share no factor with it.
- 4
The digits of 24147 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 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24147 = 3^{2} \times 2683 \]24147 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 34892 |
| Euler totient φ(n) | 16092 |
| Square | 583077609 |
| Cube | 14079575024523 |
| Square root | 155.393050 (= 3√2683) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 43 |
| Scientific notation | 2.4147 × |
24147 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand one hundred and forty-seven |
| Binary (base 2) | 101111001010011 |
| Octal (base 8) | 57123 |
| Hexadecimal (base 16) | 5E53 |
| Base 3 | 1020010100 |
| As time | 24147 seconds = 6 h 42 min 27 s |
Is 24147 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24147 ÷ 3 = 8049) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 | No (remainder 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (24147 ÷ 9 = 2683) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24147 a prime number?
No. 24147 = × 2683, so it is divisible by 3.
What are the factors of 24147?
1, 3, 9, 2683, 8049, 24147.
What is 24147 in binary?
101111001010011 (hexadecimal 5E53, octal 57123).
What is the square root of 24147?
About 155.3931, exactly 3√2683.
Is 24147 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 24147?
24147 is a happy number: repeatedly adding the squares of its digits reaches 1.