The number 42309
42309 is a composite number with 8 divisors. Its prime factorisation is × 1567. Divisors (8): 1, 3, 9, 27, 1567, 4701, 14103, 42309.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42309 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42309 is composite. Its prime factorisation is
- 3
The divisors add up to 62720; without 42309 itself that is 20411, so 42309 is deficient (20411 is less than 42309). Euler's totient φ(42309) = 28188 numbers up to 42309 share no factor with it.
- 4
The digits of 42309 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 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42309 = 3^{3} \times 1567 \]42309 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 62720 |
| Euler totient φ(n) | 28188 |
| Square | 1790051481 |
| Cube | 75735288109629 |
| Square root | 205.691517 (= 3√4701) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2309 × |
42309 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand three hundred and nine |
| Binary (base 2) | 1010010101000101 |
| Octal (base 8) | 122505 |
| Hexadecimal (base 16) | A545 |
| Base 3 | 2011001000 |
| As time | 42309 seconds = 11 h 45 min 9 s |
Is 42309 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 (42309 ÷ 3 = 14103) | 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 1) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (42309 ÷ 9 = 4701) | 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 3) | 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 42309 a prime number?
No. 42309 = × 1567, so it is divisible by 3.
What are the factors of 42309?
1, 3, 9, 27, 1567, 4701, 14103, 42309.
What is 42309 in binary?
1010010101000101 (hexadecimal A545, octal 122505).
What is the square root of 42309?
About 205.6915, exactly 3√4701.
Is 42309 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 42309?
It is a composite number with 8 divisors.