The number 5046
5046 is a composite number with 12 divisors. Its prime factorisation is 2 × 3 × . Divisors (12): 1, 2, 3, 6, 29, 58, 87, 174, 841, 1682, 2523, 5046.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5046 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5046 is composite. Its prime factorisation is
- 3
The divisors add up to 10452; without 5046 itself that is 5406, so 5046 is abundant (5406 is more than 5046). Euler's totient φ(5046) = 1624 numbers up to 5046 share no factor with it.
- 4
The digits of 5046 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 134 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5046 = 2 \times 3 \times 29^{2} \]5046 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 10452 |
| Euler totient φ(n) | 1624 |
| Square | 25462116 |
| Cube | 128481837336 |
| Square root | 71.035203 (= 29√6) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 134 |
| Scientific notation | 5.046 × |
5046 in other forms
| Form | Value |
|---|---|
| In words | five thousand and forty-six |
| Binary (base 2) | 1001110110110 |
| Octal (base 8) | 11666 |
| Hexadecimal (base 16) | 13B6 |
| Base 3 | 20220220 |
| As time | 5046 seconds = 1 h 24 min 6 s |
Is 5046 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5046 ÷ 2 = 2523) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5046 ÷ 3 = 1682) | 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 | Yes (5046 ÷ 6 = 841) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 6) | 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 8) | 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 5046 a prime number?
No. 5046 = 2 × 3 × , so it is divisible by 2.
What are the factors of 5046?
1, 2, 3, 6, 29, 58, 87, 174, 841, 1682, 2523, 5046.
What is 5046 in binary?
1001110110110 (hexadecimal 13B6, octal 11666).
What is the square root of 5046?
About 71.0352, exactly 29√6.
Is 5046 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 5046?
It is a composite number with 12 divisors.