The number 446
446 is a composite number with 4 divisors. Its prime factorisation is 2 × 223. Divisors (4): 1, 2, 223, 446.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 446: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 223, the product of two primes.
- 2
446 is composite. Its prime factorisation is
- 3
The divisors add up to 672; without 446 itself that is 226, so 446 is deficient (226 is less than 446). Euler's totient φ(446) = 222 numbers up to 446 share no factor with it.
- 4
The digits of 446 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 446 = 2 \times 223 \]
446 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 672 |
| Euler totient φ(n) | 222 |
| Square | 198916 |
| Cube | 88716536 |
| Square root | 21.118712 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 71 |
| Scientific notation | 4.46 × |
446 in other forms
| Form | Value |
|---|---|
| In words | four hundred and forty-six |
| Roman numerals | CDXLVI |
| Binary (base 2) | 110111110 |
| Octal (base 8) | 676 |
| Hexadecimal (base 16) | 1BE |
| Base 3 | 121112 |
| As time | 446 seconds = 7 min 26 s |
Is 446 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (446 ÷ 2 = 223) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 446 a prime number?
No. 446 = 2 × 223, so it is divisible by 2.
What are the factors of 446?
1, 2, 223, 446.
What is 446 in binary?
110111110 (hexadecimal 1BE, octal 676).
What is the square root of 446?
About 21.1187.
What is 446 in Roman numerals?
CDXLVI.
Is 446 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 446?
446 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 223, the product of two primes.