The number 42399
42399 is a composite number with 12 divisors. Its prime factorisation is × 7 × 673. Divisors (12): 1, 3, 7, 9, 21, 63, 673, 2019, 4711, 6057, 14133, 42399.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42399 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42399 is composite. Its prime factorisation is
- 3
The divisors add up to 70096; without 42399 itself that is 27697, so 42399 is deficient (27697 is less than 42399). Euler's totient φ(42399) = 24192 numbers up to 42399 share no factor with it.
- 4
The digits of 42399 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 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42399 = 3^{2} \times 7 \times 673 \]42399 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 70096 |
| Euler totient φ(n) | 24192 |
| Square | 1797675201 |
| Cube | 76219630847199 |
| Square root | 205.910175 (= 3√4711) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 132 |
| Scientific notation | 4.2399 × |
42399 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand three hundred and ninety-nine |
| Binary (base 2) | 1010010110011111 |
| Octal (base 8) | 122637 |
| Hexadecimal (base 16) | A59F |
| Base 3 | 2011011100 |
| As time | 42399 seconds = 11 h 46 min 39 s |
Is 42399 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 (42399 ÷ 3 = 14133) | 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 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 | Yes (42399 ÷ 7 = 6057) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (42399 ÷ 9 = 4711) | 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 5) | 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 42399 a prime number?
No. 42399 = × 7 × 673, so it is divisible by 3.
What are the factors of 42399?
1, 3, 7, 9, 21, 63, 673, 2019, 4711, 6057, 14133, 42399.
What is 42399 in binary?
1010010110011111 (hexadecimal A59F, octal 122637).
What is the square root of 42399?
About 205.9102, exactly 3√4711.
Is 42399 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 42399?
It is a composite number with 12 divisors.