The number 46436
46436 is a composite number with 24 divisors. Its prime factorisation is × 13 × 19 × 47. Divisors (24): 1, 2, 4, 13, 19, 26, 38, 47, 52, 76, 94, 188, 247, 494, 611, 893 … 46436.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46436 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46436 is composite. Its prime factorisation is
- 3
The divisors add up to 94080; without 46436 itself that is 47644, so 46436 is abundant (47644 is more than 46436). Euler's totient φ(46436) = 19872 numbers up to 46436 share no factor with it.
- 4
The digits of 46436 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 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46436 = 2^{2} \times 13 \times 19 \times 47 \]46436 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 94080 |
| Euler totient φ(n) | 19872 |
| Square | 2156302096 |
| Cube | 100130044129856 |
| Square root | 215.490139 (= 2√11609) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.6436 × |
46436 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand four hundred and thirty-six |
| Binary (base 2) | 1011010101100100 |
| Octal (base 8) | 132544 |
| Hexadecimal (base 16) | B564 |
| Base 3 | 2100200212 |
| As time | 46436 seconds = 12 h 53 min 56 s |
Is 46436 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46436 ÷ 2 = 23218) | 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 (46436 ÷ 4 = 11609) | 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 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 4) | 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 | No (remainder 5) | 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 46436 a prime number?
No. 46436 = × 13 × 19 × 47, so it is divisible by 2.
What are the factors of 46436?
1, 2, 4, 13, 19, 26, 38, 47, 52, 76, 94, 188, 247, 494, 611, 893, 988, 1222, 1786, 2444, 3572, 11609, 23218, 46436.
What is 46436 in binary?
1011010101100100 (hexadecimal B564, octal 132544).
What is the square root of 46436?
About 215.4901, exactly 2√11609.
Is 46436 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 46436?
It is a composite number with 24 divisors.