The number 46442
46442 is a composite number with 8 divisors. Its prime factorisation is 2 × 11 × 2111. Divisors (8): 1, 2, 11, 22, 2111, 4222, 23221, 46442.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46442 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46442 is composite. Its prime factorisation is
- 3
The divisors add up to 76032; without 46442 itself that is 29590, so 46442 is deficient (29590 is less than 46442). Euler's totient φ(46442) = 21100 numbers up to 46442 share no factor with it.
- 4
The digits of 46442 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46442 = 2 \times 11 \times 2111 \]
46442 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 76032 |
| Euler totient φ(n) | 21100 |
| Square | 2156859364 |
| Cube | 100168862582888 |
| Square root | 215.504060 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.6442 × |
46442 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand four hundred and forty-two |
| Binary (base 2) | 1011010101101010 |
| Octal (base 8) | 132552 |
| Hexadecimal (base 16) | B56A |
| Base 3 | 2100201002 |
| As time | 46442 seconds = 12 h 54 min 2 s |
Is 46442 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46442 ÷ 2 = 23221) | 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 2) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (46442 ÷ 11 = 4222) | 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 46442 a prime number?
No. 46442 = 2 × 11 × 2111, so it is divisible by 2.
What are the factors of 46442?
1, 2, 11, 22, 2111, 4222, 23221, 46442.
What is 46442 in binary?
1011010101101010 (hexadecimal B56A, octal 132552).
What is the square root of 46442?
About 215.5041.
Is 46442 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 46442?
It is a composite number with 8 divisors.