The number 4462
4462 is a composite number with 8 divisors. Its prime factorisation is 2 × 23 × 97. Divisors (8): 1, 2, 23, 46, 97, 194, 2231, 4462.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4462 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4462 is composite. Its prime factorisation is
- 3
The divisors add up to 7056; without 4462 itself that is 2594, so 4462 is deficient (2594 is less than 4462). Euler's totient φ(4462) = 2112 numbers up to 4462 share no factor with it.
- 4
The digits of 4462 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 95 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4462 = 2 \times 23 \times 97 \]
4462 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 7056 |
| Euler totient φ(n) | 2112 |
| Square | 19909444 |
| Cube | 88835939128 |
| Square root | 66.798204 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 95 |
| Scientific notation | 4.462 × |
4462 in other forms
| Form | Value |
|---|---|
| In words | four thousand four hundred and sixty-two |
| Binary (base 2) | 1000101101110 |
| Octal (base 8) | 10556 |
| Hexadecimal (base 16) | 116E |
| Base 3 | 20010021 |
| As time | 4462 seconds = 1 h 14 min 22 s |
Is 4462 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4462 ÷ 2 = 2231) | 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 3) | 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 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 | No (remainder 7) | 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 4462 a prime number?
No. 4462 = 2 × 23 × 97, so it is divisible by 2.
What are the factors of 4462?
1, 2, 23, 46, 97, 194, 2231, 4462.
What is 4462 in binary?
1000101101110 (hexadecimal 116E, octal 10556).
What is the square root of 4462?
About 66.7982.
Is 4462 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 4462?
It is a composite number with 8 divisors.