The number 47616
47616 is a composite number with 40 divisors. Its prime factorisation is × 3 × 31. Divisors (40): 1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 32, 48, 62, 64, 93, 96 … 47616.
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How to work it out
- 1
What is special about 47616: a Harshad number: divisible by its digit sum 24.
- 2
47616 is composite. Its prime factorisation is
- 3
The divisors add up to 130944; without 47616 itself that is 83328, so 47616 is abundant (83328 is more than 47616). Euler's totient φ(47616) = 15360 numbers up to 47616 share no factor with it.
- 4
The digits of 47616 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 26 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47616 = 2^{9} \times 3 \times 31 \]47616 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 130944 |
| Euler totient φ(n) | 15360 |
| Square | 2267283456 |
| Cube | 107958969040896 |
| Square root | 218.210907 (= 16√186) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 26 |
| Scientific notation | 4.7616 × |
47616 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand six hundred and sixteen |
| Binary (base 2) | 1011101000000000 |
| Octal (base 8) | 135000 |
| Hexadecimal (base 16) | BA00 |
| Base 3 | 2102022120 |
| As time | 47616 seconds = 13 h 13 min 36 s |
Is 47616 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47616 ÷ 2 = 23808) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47616 ÷ 3 = 15872) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47616 ÷ 4 = 11904) | 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 (47616 ÷ 6 = 7936) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (47616 ÷ 8 = 5952) | 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 | Yes (47616 ÷ 12 = 3968) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47616 a prime number?
No. 47616 = × 3 × 31, so it is divisible by 2.
What are the factors of 47616?
1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 32, 48, 62, 64, 93, 96, 124, 128, 186, 192, 248, 256, 372, 384, 496, 512, 744, 768, 992, 1488, 1536, 1984, 2976, 3968, 5952, 7936, 11904, 15872, 23808, 47616.
What is 47616 in binary?
1011101000000000 (hexadecimal BA00, octal 135000).
What is the square root of 47616?
About 218.2109, exactly 16√186.
Is 47616 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 47616?
47616 is a Harshad number: divisible by its digit sum 24.