The number 20601
20601 is a composite number with 16 divisors. Its prime factorisation is × 7 × 109. Divisors (16): 1, 3, 7, 9, 21, 27, 63, 109, 189, 327, 763, 981, 2289, 2943, 6867, 20601.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 20601: a Harshad number: divisible by its digit sum 9.
- 2
20601 is composite. Its prime factorisation is
- 3
The divisors add up to 35200; without 20601 itself that is 14599, so 20601 is deficient (14599 is less than 20601). Euler's totient φ(20601) = 11664 numbers up to 20601 share no factor with it.
- 4
The digits of 20601 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 61 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20601 = 3^{3} \times 7 \times 109 \]20601 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 35200 |
| Euler totient φ(n) | 11664 |
| Square | 424401201 |
| Cube | 8743089141801 |
| Square root | 143.530485 (= 3√2289) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 61 |
| Scientific notation | 2.0601 × |
20601 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand six hundred and one |
| Binary (base 2) | 101000001111001 |
| Octal (base 8) | 50171 |
| Hexadecimal (base 16) | 5079 |
| Base 3 | 1001021000 |
| As time | 20601 seconds = 5 h 43 min 21 s |
Is 20601 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 (20601 ÷ 3 = 6867) | 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 | Yes (20601 ÷ 7 = 2943) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (20601 ÷ 9 = 2289) | 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 9) | 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 20601 a prime number?
No. 20601 = × 7 × 109, so it is divisible by 3.
What are the factors of 20601?
1, 3, 7, 9, 21, 27, 63, 109, 189, 327, 763, 981, 2289, 2943, 6867, 20601.
What is 20601 in binary?
101000001111001 (hexadecimal 5079, octal 50171).
What is the square root of 20601?
About 143.5305, exactly 3√2289.
Is 20601 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 20601?
20601 is a Harshad number: divisible by its digit sum 9.