The number 47676
47676 is a composite number with 24 divisors. Its prime factorisation is × 3 × 29 × 137. Divisors (24): 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 137, 174, 274, 348, 411, 548 … 47676.
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How to work it out
- 1
47676 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47676 is composite. Its prime factorisation is
- 3
The divisors add up to 115920; without 47676 itself that is 68244, so 47676 is abundant (68244 is more than 47676). Euler's totient φ(47676) = 15232 numbers up to 47676 share no factor with it.
- 4
The digits of 47676 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 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47676 = 2^{2} \times 3 \times 29 \times 137 \]47676 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 115920 |
| Euler totient φ(n) | 15232 |
| Square | 2273000976 |
| Cube | 108367594531776 |
| Square root | 218.348346 (= 2√11919) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 127 |
| Scientific notation | 4.7676 × |
47676 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand six hundred and seventy-six |
| Binary (base 2) | 1011101000111100 |
| Octal (base 8) | 135074 |
| Hexadecimal (base 16) | BA3C |
| Base 3 | 2102101210 |
| As time | 47676 seconds = 13 h 14 min 36 s |
Is 47676 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47676 ÷ 2 = 23838) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47676 ÷ 3 = 15892) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47676 ÷ 4 = 11919) | 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 (47676 ÷ 6 = 7946) | 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 4) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (47676 ÷ 12 = 3973) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47676 a prime number?
No. 47676 = × 3 × 29 × 137, so it is divisible by 2.
What are the factors of 47676?
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 137, 174, 274, 348, 411, 548, 822, 1644, 3973, 7946, 11919, 15892, 23838, 47676.
What is 47676 in binary?
1011101000111100 (hexadecimal BA3C, octal 135074).
What is the square root of 47676?
About 218.3483, exactly 2√11919.
Is 47676 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 47676?
It is a composite number with 24 divisors.