The number 46434
46434 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 71 × 109. Divisors (16): 1, 2, 3, 6, 71, 109, 142, 213, 218, 327, 426, 654, 7739, 15478, 23217, 46434.
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How to work it out
- 1
46434 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46434 is composite. Its prime factorisation is
- 3
The divisors add up to 95040; without 46434 itself that is 48606, so 46434 is abundant (48606 is more than 46434). Euler's totient φ(46434) = 15120 numbers up to 46434 share no factor with it.
- 4
The digits of 46434 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46434 = 2 \times 3 \times 71 \times 109 \]
46434 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 95040 |
| Euler totient φ(n) | 15120 |
| Square | 2156116356 |
| Cube | 100117106874504 |
| Square root | 215.485498 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.6434 × |
46434 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand four hundred and thirty-four |
| Binary (base 2) | 1011010101100010 |
| Octal (base 8) | 132542 |
| Hexadecimal (base 16) | B562 |
| Base 3 | 2100200210 |
| As time | 46434 seconds = 12 h 53 min 54 s |
Is 46434 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46434 ÷ 2 = 23217) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46434 ÷ 3 = 15478) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (46434 ÷ 6 = 7739) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 3) | 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 3) | 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 46434 a prime number?
No. 46434 = 2 × 3 × 71 × 109, so it is divisible by 2.
What are the factors of 46434?
1, 2, 3, 6, 71, 109, 142, 213, 218, 327, 426, 654, 7739, 15478, 23217, 46434.
What is 46434 in binary?
1011010101100010 (hexadecimal B562, octal 132542).
What is the square root of 46434?
About 215.4855.
Is 46434 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 46434?
It is a composite number with 16 divisors.