The number 42849
42849 is a perfect square (207²). Its prime factorisation is × . Divisors (15): 1, 3, 9, 23, 27, 69, 81, 207, 529, 621, 1587, 1863, 4761, 14283, 42849.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42849: a perfect square (207²); a Harshad number: divisible by its digit sum 27.
- 2
42849 is composite. Its prime factorisation is
- 3
The divisors add up to 66913; without 42849 itself that is 24064, so 42849 is deficient (24064 is less than 42849). Euler's totient φ(42849) = 27324 numbers up to 42849 share no factor with it.
- 4
The digits of 42849 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42849 = 3^{4} \times 23^{2} \]42849 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 15 |
| Sum of divisors | 66913 |
| Euler totient φ(n) | 27324 |
| Square | 1836036801 |
| Cube | 78672340886049 |
| Square root | 207 |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 49 |
| Scientific notation | 4.2849 × |
| Perfect power |
42849 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand eight hundred and forty-nine |
| Binary (base 2) | 1010011101100001 |
| Octal (base 8) | 123541 |
| Hexadecimal (base 16) | A761 |
| Base 3 | 2011210000 |
| As time | 42849 seconds = 11 h 54 min 9 s |
Is 42849 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 (42849 ÷ 3 = 14283) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (42849 ÷ 9 = 4761) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42849 a prime number?
No. 42849 = × , so it is divisible by 3.
What are the factors of 42849?
1, 3, 9, 23, 27, 69, 81, 207, 529, 621, 1587, 1863, 4761, 14283, 42849.
What is 42849 in binary?
1010011101100001 (hexadecimal A761, octal 123541).
What is the square root of 42849?
207, because 207 × 207 = 42849.
Is 42849 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 42849?
42849 is a perfect square (207²); a Harshad number: divisible by its digit sum 27.