The number 20301
20301 is a triangular number: 1 + 2 + … + 201 = 20301. Its prime factorisation is 3 × 67 × 101. Divisors (8): 1, 3, 67, 101, 201, 303, 6767, 20301.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 20301: a triangular number: 1 + 2 + … + 201 = 20301.
- 2
20301 is composite. Its prime factorisation is
- 3
The divisors add up to 27744; without 20301 itself that is 7443, so 20301 is deficient (7443 is less than 20301). Euler's totient φ(20301) = 13200 numbers up to 20301 share no factor with it.
- 4
The digits of 20301 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 136 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20301 = 3 \times 67 \times 101 \]
20301 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 27744 |
| Euler totient φ(n) | 13200 |
| Square | 412130601 |
| Cube | 8366663330901 |
| Square root | 142.481578 |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 136 |
| Scientific notation | 2.0301 × |
20301 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand three hundred and one |
| Binary (base 2) | 100111101001101 |
| Octal (base 8) | 47515 |
| Hexadecimal (base 16) | 4F4D |
| Base 3 | 1000211220 |
| As time | 20301 seconds = 5 h 38 min 21 s |
Is 20301 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 | Yes (20301 ÷ 3 = 6767) | 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 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 20301 a prime number?
No. 20301 = 3 × 67 × 101, so it is divisible by 3.
What are the factors of 20301?
1, 3, 67, 101, 201, 303, 6767, 20301.
What is 20301 in binary?
100111101001101 (hexadecimal 4F4D, octal 47515).
What is the square root of 20301?
About 142.4816.
Is 20301 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 20301?
20301 is a triangular number: 1 + 2 + … + 201 = 20301.