The number 47496
47496 is a composite number with 16 divisors. Its prime factorisation is × 3 × 1979. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 1979, 3958, 5937, 7916, 11874, 15832, 23748, 47496.
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How to work it out
- 1
47496 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47496 is composite. Its prime factorisation is
- 3
The divisors add up to 118800; without 47496 itself that is 71304, so 47496 is abundant (71304 is more than 47496). Euler's totient φ(47496) = 15824 numbers up to 47496 share no factor with it.
- 4
The digits of 47496 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 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47496 = 2^{3} \times 3 \times 1979 \]47496 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 118800 |
| Euler totient φ(n) | 15824 |
| Square | 2255870016 |
| Cube | 107144802279936 |
| Square root | 217.935770 (= 2√11874) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.7496 × |
47496 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand four hundred and ninety-six |
| Binary (base 2) | 1011100110001000 |
| Octal (base 8) | 134610 |
| Hexadecimal (base 16) | B988 |
| Base 3 | 2102011010 |
| As time | 47496 seconds = 13 h 11 min 36 s |
Is 47496 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47496 ÷ 2 = 23748) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47496 ÷ 3 = 15832) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47496 ÷ 4 = 11874) | 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 (47496 ÷ 6 = 7916) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (47496 ÷ 8 = 5937) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (47496 ÷ 12 = 3958) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47496 a prime number?
No. 47496 = × 3 × 1979, so it is divisible by 2.
What are the factors of 47496?
1, 2, 3, 4, 6, 8, 12, 24, 1979, 3958, 5937, 7916, 11874, 15832, 23748, 47496.
What is 47496 in binary?
1011100110001000 (hexadecimal B988, octal 134610).
What is the square root of 47496?
About 217.9358, exactly 2√11874.
Is 47496 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 47496?
It is a composite number with 16 divisors.