The number 42364
42364 is a composite number with 24 divisors. Its prime factorisation is × 7 × 17 × 89. Divisors (24): 1, 2, 4, 7, 14, 17, 28, 34, 68, 89, 119, 178, 238, 356, 476, 623 … 42364.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42364 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42364 is composite. Its prime factorisation is
- 3
The divisors add up to 90720; without 42364 itself that is 48356, so 42364 is abundant (48356 is more than 42364). Euler's totient φ(42364) = 16896 numbers up to 42364 share no factor with it.
- 4
The digits of 42364 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42364 = 2^{2} \times 7 \times 17 \times 89 \]42364 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 90720 |
| Euler totient φ(n) | 16896 |
| Square | 1794708496 |
| Cube | 76031030724544 |
| Square root | 205.825169 (= 2√10591) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.2364 × |
42364 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand three hundred and sixty-four |
| Binary (base 2) | 1010010101111100 |
| Octal (base 8) | 122574 |
| Hexadecimal (base 16) | A57C |
| Base 3 | 2011010001 |
| As time | 42364 seconds = 11 h 46 min 4 s |
Is 42364 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42364 ÷ 2 = 21182) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42364 ÷ 4 = 10591) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (42364 ÷ 7 = 6052) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42364 a prime number?
No. 42364 = × 7 × 17 × 89, so it is divisible by 2.
What are the factors of 42364?
1, 2, 4, 7, 14, 17, 28, 34, 68, 89, 119, 178, 238, 356, 476, 623, 1246, 1513, 2492, 3026, 6052, 10591, 21182, 42364.
What is 42364 in binary?
1010010101111100 (hexadecimal A57C, octal 122574).
What is the square root of 42364?
About 205.8252, exactly 2√10591.
Is 42364 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 42364?
It is a composite number with 24 divisors.