The number 46438
46438 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 31 × 107. Divisors (16): 1, 2, 7, 14, 31, 62, 107, 214, 217, 434, 749, 1498, 3317, 6634, 23219, 46438.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46438 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46438 is composite. Its prime factorisation is
- 3
The divisors add up to 82944; without 46438 itself that is 36506, so 46438 is deficient (36506 is less than 46438). Euler's totient φ(46438) = 19080 numbers up to 46438 share no factor with it.
- 4
The digits of 46438 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46438 = 2 \times 7 \times 31 \times 107 \]
46438 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 82944 |
| Euler totient φ(n) | 19080 |
| Square | 2156487844 |
| Cube | 100142982499672 |
| Square root | 215.494780 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.6438 × |
46438 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand four hundred and thirty-eight |
| Binary (base 2) | 1011010101100110 |
| Octal (base 8) | 132546 |
| Hexadecimal (base 16) | B566 |
| Base 3 | 2100200221 |
| As time | 46438 seconds = 12 h 53 min 58 s |
Is 46438 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46438 ÷ 2 = 23219) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (46438 ÷ 7 = 6634) | 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 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46438 a prime number?
No. 46438 = 2 × 7 × 31 × 107, so it is divisible by 2.
What are the factors of 46438?
1, 2, 7, 14, 31, 62, 107, 214, 217, 434, 749, 1498, 3317, 6634, 23219, 46438.
What is 46438 in binary?
1011010101100110 (hexadecimal B566, octal 132546).
What is the square root of 46438?
About 215.4948.
Is 46438 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 46438?
It is a composite number with 16 divisors.