The number 48477
48477 is a composite number with 16 divisors. Its prime factorisation is 3 × 11 × 13 × 113. Divisors (16): 1, 3, 11, 13, 33, 39, 113, 143, 339, 429, 1243, 1469, 3729, 4407, 16159, 48477.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48477 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48477 is composite. Its prime factorisation is
- 3
The divisors add up to 76608; without 48477 itself that is 28131, so 48477 is deficient (28131 is less than 48477). Euler's totient φ(48477) = 26880 numbers up to 48477 share no factor with it.
- 4
The digits of 48477 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 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48477 = 3 \times 11 \times 13 \times 113 \]
48477 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 76608 |
| Euler totient φ(n) | 26880 |
| Square | 2350019529 |
| Cube | 113921896707333 |
| Square root | 220.174930 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.8477 × |
48477 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand four hundred and seventy-seven |
| Binary (base 2) | 1011110101011101 |
| Octal (base 8) | 136535 |
| Hexadecimal (base 16) | BD5D |
| Base 3 | 2110111110 |
| As time | 48477 seconds = 13 h 27 min 57 s |
Is 48477 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 (48477 ÷ 3 = 16159) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 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 | No (remainder 5) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (48477 ÷ 11 = 4407) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48477 a prime number?
No. 48477 = 3 × 11 × 13 × 113, so it is divisible by 3.
What are the factors of 48477?
1, 3, 11, 13, 33, 39, 113, 143, 339, 429, 1243, 1469, 3729, 4407, 16159, 48477.
What is 48477 in binary?
1011110101011101 (hexadecimal BD5D, octal 136535).
What is the square root of 48477?
About 220.1749.
Is 48477 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 48477?
It is a composite number with 16 divisors.