The number 46996
46996 is a composite number with 12 divisors. Its prime factorisation is × 31 × 379. Divisors (12): 1, 2, 4, 31, 62, 124, 379, 758, 1516, 11749, 23498, 46996.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46996 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46996 is composite. Its prime factorisation is
- 3
The divisors add up to 85120; without 46996 itself that is 38124, so 46996 is deficient (38124 is less than 46996). Euler's totient φ(46996) = 22680 numbers up to 46996 share no factor with it.
- 4
The digits of 46996 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46996 = 2^{2} \times 31 \times 379 \]46996 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 85120 |
| Euler totient φ(n) | 22680 |
| Square | 2208624016 |
| Cube | 103796494255936 |
| Square root | 216.785608 (= 2√11749) |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.6996 × |
46996 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand nine hundred and ninety-six |
| Binary (base 2) | 1011011110010100 |
| Octal (base 8) | 133624 |
| Hexadecimal (base 16) | B794 |
| Base 3 | 2101110121 |
| As time | 46996 seconds = 13 h 3 min 16 s |
Is 46996 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46996 ÷ 2 = 23498) | 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 | Yes (46996 ÷ 4 = 11749) | 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 4) | 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 7) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46996 a prime number?
No. 46996 = × 31 × 379, so it is divisible by 2.
What are the factors of 46996?
1, 2, 4, 31, 62, 124, 379, 758, 1516, 11749, 23498, 46996.
What is 46996 in binary?
1011011110010100 (hexadecimal B794, octal 133624).
What is the square root of 46996?
About 216.7856, exactly 2√11749.
Is 46996 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 46996?
It is a composite number with 12 divisors.