The number 48642
48642 is a composite number with 24 divisors. Its prime factorisation is 2 × 3 × × 67. Divisors (24): 1, 2, 3, 6, 11, 22, 33, 66, 67, 121, 134, 201, 242, 363, 402, 726 … 48642.
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How to work it out
- 1
48642 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48642 is composite. Its prime factorisation is
- 3
The divisors add up to 108528; without 48642 itself that is 59886, so 48642 is abundant (59886 is more than 48642). Euler's totient φ(48642) = 14520 numbers up to 48642 share no factor with it.
- 4
The digits of 48642 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 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48642 = 2 \times 3 \times 11^{2} \times 67 \]48642 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 108528 |
| Euler totient φ(n) | 14520 |
| Square | 2366044164 |
| Cube | 115089120225288 |
| Square root | 220.549314 (= 11√402) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.8642 × |
48642 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand six hundred and forty-two |
| Binary (base 2) | 1011111000000010 |
| Octal (base 8) | 137002 |
| Hexadecimal (base 16) | BE02 |
| Base 3 | 2110201120 |
| As time | 48642 seconds = 13 h 30 min 42 s |
Is 48642 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48642 ÷ 2 = 24321) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48642 ÷ 3 = 16214) | 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 (48642 ÷ 6 = 8107) | 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 | 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 | Yes (48642 ÷ 11 = 4422) | 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 48642 a prime number?
No. 48642 = 2 × 3 × × 67, so it is divisible by 2.
What are the factors of 48642?
1, 2, 3, 6, 11, 22, 33, 66, 67, 121, 134, 201, 242, 363, 402, 726, 737, 1474, 2211, 4422, 8107, 16214, 24321, 48642.
What is 48642 in binary?
1011111000000010 (hexadecimal BE02, octal 137002).
What is the square root of 48642?
About 220.5493, exactly 11√402.
Is 48642 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 48642?
It is a composite number with 24 divisors.