The number 42746
42746 is a composite number with 16 divisors. Its prime factorisation is 2 × 11 × 29 × 67. Divisors (16): 1, 2, 11, 22, 29, 58, 67, 134, 319, 638, 737, 1474, 1943, 3886, 21373, 42746.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42746 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42746 is composite. Its prime factorisation is
- 3
The divisors add up to 73440; without 42746 itself that is 30694, so 42746 is deficient (30694 is less than 42746). Euler's totient φ(42746) = 18480 numbers up to 42746 share no factor with it.
- 4
The digits of 42746 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42746 = 2 \times 11 \times 29 \times 67 \]
42746 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 73440 |
| Euler totient φ(n) | 18480 |
| Square | 1827220516 |
| Cube | 78106368176936 |
| Square root | 206.751058 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 49 |
| Scientific notation | 4.2746 × |
42746 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand seven hundred and forty-six |
| Binary (base 2) | 1010011011111010 |
| Octal (base 8) | 123372 |
| Hexadecimal (base 16) | A6FA |
| Base 3 | 2011122012 |
| As time | 42746 seconds = 11 h 52 min 26 s |
Is 42746 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42746 ÷ 2 = 21373) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 | Yes (42746 ÷ 11 = 3886) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42746 a prime number?
No. 42746 = 2 × 11 × 29 × 67, so it is divisible by 2.
What are the factors of 42746?
1, 2, 11, 22, 29, 58, 67, 134, 319, 638, 737, 1474, 1943, 3886, 21373, 42746.
What is 42746 in binary?
1010011011111010 (hexadecimal A6FA, octal 123372).
What is the square root of 42746?
About 206.7511.
Is 42746 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 42746?
It is a composite number with 16 divisors.