The number 47463
47463 is a composite number with 8 divisors. Its prime factorisation is 3 × 13 × 1217. Divisors (8): 1, 3, 13, 39, 1217, 3651, 15821, 47463.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47463 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47463 is composite. Its prime factorisation is
- 3
The divisors add up to 68208; without 47463 itself that is 20745, so 47463 is deficient (20745 is less than 47463). Euler's totient φ(47463) = 29184 numbers up to 47463 share no factor with it.
- 4
The digits of 47463 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 176 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47463 = 3 \times 13 \times 1217 \]
47463 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 68208 |
| Euler totient φ(n) | 29184 |
| Square | 2252736369 |
| Cube | 106921626281847 |
| Square root | 217.860047 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 176 |
| Scientific notation | 4.7463 × |
47463 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand four hundred and sixty-three |
| Binary (base 2) | 1011100101100111 |
| Octal (base 8) | 134547 |
| Hexadecimal (base 16) | B967 |
| Base 3 | 2102002220 |
| As time | 47463 seconds = 13 h 11 min 3 s |
Is 47463 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 (47463 ÷ 3 = 15821) | 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 3) | 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 | No (remainder 3) | 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 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47463 a prime number?
No. 47463 = 3 × 13 × 1217, so it is divisible by 3.
What are the factors of 47463?
1, 3, 13, 39, 1217, 3651, 15821, 47463.
What is 47463 in binary?
1011100101100111 (hexadecimal B967, octal 134547).
What is the square root of 47463?
About 217.8600.
Is 47463 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 47463?
It is a composite number with 8 divisors.