The number 462
462 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 11. Divisors (16): 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
462 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
462 is composite. Its prime factorisation is
- 3
The divisors add up to 1152; without 462 itself that is 690, so 462 is abundant (690 is more than 462). Euler's totient φ(462) = 120 numbers up to 462 share no factor with it.
- 4
The digits of 462 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 128 steps to reach 1.
LaTeX source of the formulas on this page
\[ 462 = 2 \times 3 \times 7 \times 11 \]
462 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 1152 |
| Euler totient φ(n) | 120 |
| Square | 213444 |
| Cube | 98611128 |
| Square root | 21.494185 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 128 |
| Scientific notation | 4.62 × |
462 in other forms
| Form | Value |
|---|---|
| In words | four hundred and sixty-two |
| Roman numerals | CDLXII |
| Binary (base 2) | 111001110 |
| Octal (base 8) | 716 |
| Hexadecimal (base 16) | 1CE |
| Base 3 | 122010 |
| As time | 462 seconds = 7 min 42 s |
Is 462 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (462 ÷ 2 = 231) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (462 ÷ 3 = 154) | 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 (462 ÷ 6 = 77) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (462 ÷ 7 = 66) | 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 3) | 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 (462 ÷ 11 = 42) | 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 462 a prime number?
No. 462 = 2 × 3 × 7 × 11, so it is divisible by 2.
What are the factors of 462?
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462.
What is 462 in binary?
111001110 (hexadecimal 1CE, octal 716).
What is the square root of 462?
About 21.4942.
What is 462 in Roman numerals?
CDLXII.
Is 462 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 462?
It is a composite number with 16 divisors.