The number 47976
47976 is a composite number with 16 divisors. Its prime factorisation is × 3 × 1999. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 1999, 3998, 5997, 7996, 11994, 15992, 23988, 47976.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47976 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47976 is composite. Its prime factorisation is
- 3
The divisors add up to 120000; without 47976 itself that is 72024, so 47976 is abundant (72024 is more than 47976). Euler's totient φ(47976) = 15984 numbers up to 47976 share no factor with it.
- 4
The digits of 47976 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47976 = 2^{3} \times 3 \times 1999 \]47976 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 120000 |
| Euler totient φ(n) | 15984 |
| Square | 2301696576 |
| Cube | 110426194930176 |
| Square root | 219.034244 (= 2√11994) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.7976 × |
47976 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand nine hundred and seventy-six |
| Binary (base 2) | 1011101101101000 |
| Octal (base 8) | 135550 |
| Hexadecimal (base 16) | BB68 |
| Base 3 | 2102210220 |
| As time | 47976 seconds = 13 h 19 min 36 s |
Is 47976 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47976 ÷ 2 = 23988) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47976 ÷ 3 = 15992) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47976 ÷ 4 = 11994) | 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 (47976 ÷ 6 = 7996) | 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 | Yes (47976 ÷ 8 = 5997) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (47976 ÷ 12 = 3998) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47976 a prime number?
No. 47976 = × 3 × 1999, so it is divisible by 2.
What are the factors of 47976?
1, 2, 3, 4, 6, 8, 12, 24, 1999, 3998, 5997, 7996, 11994, 15992, 23988, 47976.
What is 47976 in binary?
1011101101101000 (hexadecimal BB68, octal 135550).
What is the square root of 47976?
About 219.0342, exactly 2√11994.
Is 47976 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 47976?
It is a composite number with 16 divisors.