The number 301
301 is a composite number with 4 divisors. Its prime factorisation is 7 × 43. Divisors (4): 1, 7, 43, 301.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 301: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 43, the product of two primes.
- 2
301 is composite. Its prime factorisation is
- 3
The divisors add up to 352; without 301 itself that is 51, so 301 is deficient (51 is less than 301). Euler's totient φ(301) = 252 numbers up to 301 share no factor with it.
- 4
The digits of 301 add up to 4, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 16 steps to reach 1.
LaTeX source of the formulas on this page
\[ 301 = 7 \times 43 \]
301 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 352 |
| Euler totient φ(n) | 252 |
| Square | 90601 |
| Cube | 27270901 |
| Square root | 17.349352 |
| Digit sum / digital root | 4 / 4 |
| Collatz steps to 1 | 16 |
| Scientific notation | 3.01 × |
301 in other forms
| Form | Value |
|---|---|
| In words | three hundred and one |
| Roman numerals | CCCI |
| Binary (base 2) | 100101101 |
| Octal (base 8) | 455 |
| Hexadecimal (base 16) | 12D |
| Base 3 | 102011 |
| As time | 301 seconds = 5 min 1 s |
Is 301 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (301 ÷ 7 = 43) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 301 a prime number?
No. 301 = 7 × 43, so it is divisible by 7.
What are the factors of 301?
1, 7, 43, 301.
What is 301 in binary?
100101101 (hexadecimal 12D, octal 455).
What is the square root of 301?
About 17.3494.
What is 301 in Roman numerals?
CCCI.
Is 301 divisible by 3?
No. Its digits add up to 4, which is not a multiple of 3.
What is special about the number 301?
301 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 43, the product of two primes.