The number 48474
48474 is a composite number with 12 divisors. Its prime factorisation is 2 × × 2693. Divisors (12): 1, 2, 3, 6, 9, 18, 2693, 5386, 8079, 16158, 24237, 48474.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48474 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48474 is composite. Its prime factorisation is
- 3
The divisors add up to 105066; without 48474 itself that is 56592, so 48474 is abundant (56592 is more than 48474). Euler's totient φ(48474) = 16152 numbers up to 48474 share no factor with it.
- 4
The digits of 48474 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 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48474 = 2 \times 3^{2} \times 2693 \]48474 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 105066 |
| Euler totient φ(n) | 16152 |
| Square | 2349728676 |
| Cube | 113900747840424 |
| Square root | 220.168118 (= 3√5386) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.8474 × |
48474 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand four hundred and seventy-four |
| Binary (base 2) | 1011110101011010 |
| Octal (base 8) | 136532 |
| Hexadecimal (base 16) | BD5A |
| Base 3 | 2110111100 |
| As time | 48474 seconds = 13 h 27 min 54 s |
Is 48474 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48474 ÷ 2 = 24237) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48474 ÷ 3 = 16158) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (48474 ÷ 6 = 8079) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (48474 ÷ 9 = 5386) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48474 a prime number?
No. 48474 = 2 × × 2693, so it is divisible by 2.
What are the factors of 48474?
1, 2, 3, 6, 9, 18, 2693, 5386, 8079, 16158, 24237, 48474.
What is 48474 in binary?
1011110101011010 (hexadecimal BD5A, octal 136532).
What is the square root of 48474?
About 220.1681, exactly 3√5386.
Is 48474 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 48474?
It is a composite number with 12 divisors.