The number 46938
46938 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 7823. Divisors (8): 1, 2, 3, 6, 7823, 15646, 23469, 46938.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46938 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46938 is composite. Its prime factorisation is
- 3
The divisors add up to 93888; without 46938 itself that is 46950, so 46938 is abundant (46950 is more than 46938). Euler's totient φ(46938) = 15644 numbers up to 46938 share no factor with it.
- 4
The digits of 46938 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46938 = 2 \times 3 \times 7823 \]
46938 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 93888 |
| Euler totient φ(n) | 15644 |
| Square | 2203175844 |
| Cube | 103412667765672 |
| Square root | 216.651794 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.6938 × |
46938 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand nine hundred and thirty-eight |
| Binary (base 2) | 1011011101011010 |
| Octal (base 8) | 133532 |
| Hexadecimal (base 16) | B75A |
| Base 3 | 2101101110 |
| As time | 46938 seconds = 13 h 2 min 18 s |
Is 46938 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46938 ÷ 2 = 23469) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46938 ÷ 3 = 15646) | 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 | Yes (46938 ÷ 6 = 7823) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 46938 a prime number?
No. 46938 = 2 × 3 × 7823, so it is divisible by 2.
What are the factors of 46938?
1, 2, 3, 6, 7823, 15646, 23469, 46938.
What is 46938 in binary?
1011011101011010 (hexadecimal B75A, octal 133532).
What is the square root of 46938?
About 216.6518.
Is 46938 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 46938?
It is a composite number with 8 divisors.