The number 46422
46422 is a composite number with 12 divisors. Its prime factorisation is 2 × × 2579. Divisors (12): 1, 2, 3, 6, 9, 18, 2579, 5158, 7737, 15474, 23211, 46422.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46422: a Harshad number: divisible by its digit sum 18.
- 2
46422 is composite. Its prime factorisation is
- 3
The divisors add up to 100620; without 46422 itself that is 54198, so 46422 is abundant (54198 is more than 46422). Euler's totient φ(46422) = 15468 numbers up to 46422 share no factor with it.
- 4
The digits of 46422 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 176 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46422 = 2 \times 3^{2} \times 2579 \]46422 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 100620 |
| Euler totient φ(n) | 15468 |
| Square | 2155002084 |
| Cube | 100039506743448 |
| Square root | 215.457652 (= 3√5158) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 176 |
| Scientific notation | 4.6422 × |
46422 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand four hundred and twenty-two |
| Binary (base 2) | 1011010101010110 |
| Octal (base 8) | 132526 |
| Hexadecimal (base 16) | B556 |
| Base 3 | 2100200100 |
| As time | 46422 seconds = 12 h 53 min 42 s |
Is 46422 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46422 ÷ 2 = 23211) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46422 ÷ 3 = 15474) | 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 | Yes (46422 ÷ 6 = 7737) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (46422 ÷ 9 = 5158) | 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 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46422 a prime number?
No. 46422 = 2 × × 2579, so it is divisible by 2.
What are the factors of 46422?
1, 2, 3, 6, 9, 18, 2579, 5158, 7737, 15474, 23211, 46422.
What is 46422 in binary?
1011010101010110 (hexadecimal B556, octal 132526).
What is the square root of 46422?
About 215.4577, exactly 3√5158.
Is 46422 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 46422?
46422 is a Harshad number: divisible by its digit sum 18.