The number 42796
42796 is a composite number with 12 divisors. Its prime factorisation is × 13 × 823. Divisors (12): 1, 2, 4, 13, 26, 52, 823, 1646, 3292, 10699, 21398, 42796.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42796 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42796 is composite. Its prime factorisation is
- 3
The divisors add up to 80752; without 42796 itself that is 37956, so 42796 is deficient (37956 is less than 42796). Euler's totient φ(42796) = 19728 numbers up to 42796 share no factor with it.
- 4
The digits of 42796 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42796 = 2^{2} \times 13 \times 823 \]42796 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 80752 |
| Euler totient φ(n) | 19728 |
| Square | 1831497616 |
| Cube | 78380771974336 |
| Square root | 206.871941 (= 2√10699) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 49 |
| Scientific notation | 4.2796 × |
42796 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand seven hundred and ninety-six |
| Binary (base 2) | 1010011100101100 |
| Octal (base 8) | 123454 |
| Hexadecimal (base 16) | A72C |
| Base 3 | 2011201001 |
| As time | 42796 seconds = 11 h 53 min 16 s |
Is 42796 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42796 ÷ 2 = 21398) | 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 (42796 ÷ 4 = 10699) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 | No (remainder 5) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 42796 a prime number?
No. 42796 = × 13 × 823, so it is divisible by 2.
What are the factors of 42796?
1, 2, 4, 13, 26, 52, 823, 1646, 3292, 10699, 21398, 42796.
What is 42796 in binary?
1010011100101100 (hexadecimal A72C, octal 123454).
What is the square root of 42796?
About 206.8719, exactly 2√10699.
Is 42796 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 42796?
It is a composite number with 12 divisors.