The number 47439
47439 is a composite number with 16 divisors. Its prime factorisation is × 7 × 251. Divisors (16): 1, 3, 7, 9, 21, 27, 63, 189, 251, 753, 1757, 2259, 5271, 6777, 15813, 47439.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47439: a Harshad number: divisible by its digit sum 27.
- 2
47439 is composite. Its prime factorisation is
- 3
The divisors add up to 80640; without 47439 itself that is 33201, so 47439 is deficient (33201 is less than 47439). Euler's totient φ(47439) = 27000 numbers up to 47439 share no factor with it.
- 4
The digits of 47439 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47439 = 3^{3} \times 7 \times 251 \]47439 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 80640 |
| Euler totient φ(n) | 27000 |
| Square | 2250458721 |
| Cube | 106759511265519 |
| Square root | 217.804959 (= 3√5271) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.7439 × |
47439 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand four hundred and thirty-nine |
| Binary (base 2) | 1011100101001111 |
| Octal (base 8) | 134517 |
| Hexadecimal (base 16) | B94F |
| Base 3 | 2102002000 |
| As time | 47439 seconds = 13 h 10 min 39 s |
Is 47439 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47439 ÷ 3 = 15813) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (47439 ÷ 7 = 6777) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (47439 ÷ 9 = 5271) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47439 a prime number?
No. 47439 = × 7 × 251, so it is divisible by 3.
What are the factors of 47439?
1, 3, 7, 9, 21, 27, 63, 189, 251, 753, 1757, 2259, 5271, 6777, 15813, 47439.
What is 47439 in binary?
1011100101001111 (hexadecimal B94F, octal 134517).
What is the square root of 47439?
About 217.8050, exactly 3√5271.
Is 47439 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 47439?
47439 is a Harshad number: divisible by its digit sum 27.