The number 46424
46424 is a composite number with 16 divisors. Its prime factorisation is × 7 × 829. Divisors (16): 1, 2, 4, 7, 8, 14, 28, 56, 829, 1658, 3316, 5803, 6632, 11606, 23212, 46424.
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How to work it out
- 1
46424 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46424 is composite. Its prime factorisation is
- 3
The divisors add up to 99600; without 46424 itself that is 53176, so 46424 is abundant (53176 is more than 46424). Euler's totient φ(46424) = 19872 numbers up to 46424 share no factor with it.
- 4
The digits of 46424 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 176 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46424 = 2^{3} \times 7 \times 829 \]46424 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 99600 |
| Euler totient φ(n) | 19872 |
| Square | 2155187776 |
| Cube | 100052437313024 |
| Square root | 215.462294 (= 2√11606) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 176 |
| Scientific notation | 4.6424 × |
46424 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand four hundred and twenty-four |
| Binary (base 2) | 1011010101011000 |
| Octal (base 8) | 132530 |
| Hexadecimal (base 16) | B558 |
| Base 3 | 2100200102 |
| As time | 46424 seconds = 12 h 53 min 44 s |
Is 46424 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46424 ÷ 2 = 23212) | 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 | Yes (46424 ÷ 4 = 11606) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (46424 ÷ 7 = 6632) | 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 | Yes (46424 ÷ 8 = 5803) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46424 a prime number?
No. 46424 = × 7 × 829, so it is divisible by 2.
What are the factors of 46424?
1, 2, 4, 7, 8, 14, 28, 56, 829, 1658, 3316, 5803, 6632, 11606, 23212, 46424.
What is 46424 in binary?
1011010101011000 (hexadecimal B558, octal 132530).
What is the square root of 46424?
About 215.4623, exactly 2√11606.
Is 46424 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 46424?
It is a composite number with 16 divisors.