The number 20061
20061 is a composite number with 8 divisors. Its prime factorisation is × 743. Divisors (8): 1, 3, 9, 27, 743, 2229, 6687, 20061.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 20061: a Harshad number: divisible by its digit sum 9.
- 2
20061 is composite. Its prime factorisation is
- 3
The divisors add up to 29760; without 20061 itself that is 9699, so 20061 is deficient (9699 is less than 20061). Euler's totient φ(20061) = 13356 numbers up to 20061 share no factor with it.
- 4
The digits of 20061 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20061 = 3^{3} \times 743 \]20061 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 29760 |
| Euler totient φ(n) | 13356 |
| Square | 402443721 |
| Cube | 8073423486981 |
| Square root | 141.636860 (= 3√2229) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 43 |
| Scientific notation | 2.0061 × |
20061 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand and sixty-one |
| Binary (base 2) | 100111001011101 |
| Octal (base 8) | 47135 |
| Hexadecimal (base 16) | 4E5D |
| Base 3 | 1000112000 |
| As time | 20061 seconds = 5 h 34 min 21 s |
Is 20061 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 (20061 ÷ 3 = 6687) | 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 6) | 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 | Yes (20061 ÷ 9 = 2229) | 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 8) | 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 20061 a prime number?
No. 20061 = × 743, so it is divisible by 3.
What are the factors of 20061?
1, 3, 9, 27, 743, 2229, 6687, 20061.
What is 20061 in binary?
100111001011101 (hexadecimal 4E5D, octal 47135).
What is the square root of 20061?
About 141.6369, exactly 3√2229.
Is 20061 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 20061?
20061 is a Harshad number: divisible by its digit sum 9.