The number 46046
46046 is a composite number with 32 divisors. Its prime factorisation is 2 × 7 × 11 × 13 × 23. Divisors (32): 1, 2, 7, 11, 13, 14, 22, 23, 26, 46, 77, 91, 143, 154, 161, 182 … 46046.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46046 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46046 is composite. Its prime factorisation is
- 3
The divisors add up to 96768; without 46046 itself that is 50722, so 46046 is abundant (50722 is more than 46046). Euler's totient φ(46046) = 15840 numbers up to 46046 share no factor with it.
- 4
The digits of 46046 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46046 = 2 \times 7 \times 11 \times 13 \times 23 \]
46046 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 96768 |
| Euler totient φ(n) | 15840 |
| Square | 2120234116 |
| Cube | 97628300105336 |
| Square root | 214.583317 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 114 |
| Scientific notation | 4.6046 × |
46046 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand and forty-six |
| Binary (base 2) | 1011001111011110 |
| Octal (base 8) | 131736 |
| Hexadecimal (base 16) | B3DE |
| Base 3 | 2100011102 |
| As time | 46046 seconds = 12 h 47 min 26 s |
Is 46046 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46046 ÷ 2 = 23023) | 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 | No (remainder 2) | 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 | Yes (46046 ÷ 7 = 6578) | 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 2) | 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 | Yes (46046 ÷ 11 = 4186) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46046 a prime number?
No. 46046 = 2 × 7 × 11 × 13 × 23, so it is divisible by 2.
What are the factors of 46046?
1, 2, 7, 11, 13, 14, 22, 23, 26, 46, 77, 91, 143, 154, 161, 182, 253, 286, 299, 322, 506, 598, 1001, 1771, 2002, 2093, 3289, 3542, 4186, 6578, 23023, 46046.
What is 46046 in binary?
1011001111011110 (hexadecimal B3DE, octal 131736).
What is the square root of 46046?
About 214.5833.
Is 46046 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 46046?
It is a composite number with 32 divisors.