The number 4642
4642 is a composite number with 8 divisors. Its prime factorisation is 2 × 11 × 211. Divisors (8): 1, 2, 11, 22, 211, 422, 2321, 4642.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4642 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4642 is composite. Its prime factorisation is
- 3
The divisors add up to 7632; without 4642 itself that is 2990, so 4642 is deficient (2990 is less than 4642). Euler's totient φ(4642) = 2100 numbers up to 4642 share no factor with it.
- 4
The digits of 4642 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 33 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4642 = 2 \times 11 \times 211 \]
4642 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 7632 |
| Euler totient φ(n) | 2100 |
| Square | 21548164 |
| Cube | 100026577288 |
| Square root | 68.132224 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 33 |
| Scientific notation | 4.642 × |
4642 in other forms
| Form | Value |
|---|---|
| In words | four thousand six hundred and forty-two |
| Binary (base 2) | 1001000100010 |
| Octal (base 8) | 11042 |
| Hexadecimal (base 16) | 1222 |
| Base 3 | 20100221 |
| As time | 4642 seconds = 1 h 17 min 22 s |
Is 4642 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4642 ÷ 2 = 2321) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 | No (remainder 4) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 (4642 ÷ 11 = 422) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4642 a prime number?
No. 4642 = 2 × 11 × 211, so it is divisible by 2.
What are the factors of 4642?
1, 2, 11, 22, 211, 422, 2321, 4642.
What is 4642 in binary?
1001000100010 (hexadecimal 1222, octal 11042).
What is the square root of 4642?
About 68.1322.
Is 4642 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 4642?
It is a composite number with 8 divisors.