The number 48462
48462 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 41 × 197. Divisors (16): 1, 2, 3, 6, 41, 82, 123, 197, 246, 394, 591, 1182, 8077, 16154, 24231, 48462.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48462 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48462 is composite. Its prime factorisation is
- 3
The divisors add up to 99792; without 48462 itself that is 51330, so 48462 is abundant (51330 is more than 48462). Euler's totient φ(48462) = 15680 numbers up to 48462 share no factor with it.
- 4
The digits of 48462 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 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48462 = 2 \times 3 \times 41 \times 197 \]
48462 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 99792 |
| Euler totient φ(n) | 15680 |
| Square | 2348565444 |
| Cube | 113816178547128 |
| Square root | 220.140864 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.8462 × |
48462 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand four hundred and sixty-two |
| Binary (base 2) | 1011110101001110 |
| Octal (base 8) | 136516 |
| Hexadecimal (base 16) | BD4E |
| Base 3 | 2110110220 |
| As time | 48462 seconds = 13 h 27 min 42 s |
Is 48462 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48462 ÷ 2 = 24231) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48462 ÷ 3 = 16154) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (48462 ÷ 6 = 8077) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 6) | 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 2) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48462 a prime number?
No. 48462 = 2 × 3 × 41 × 197, so it is divisible by 2.
What are the factors of 48462?
1, 2, 3, 6, 41, 82, 123, 197, 246, 394, 591, 1182, 8077, 16154, 24231, 48462.
What is 48462 in binary?
1011110101001110 (hexadecimal BD4E, octal 136516).
What is the square root of 48462?
About 220.1409.
Is 48462 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 48462?
It is a composite number with 16 divisors.