The number 20501
20501 is a composite number with 8 divisors. Its prime factorisation is 13 × 19 × 83. Divisors (8): 1, 13, 19, 83, 247, 1079, 1577, 20501.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
20501 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
20501 is composite. Its prime factorisation is
- 3
The divisors add up to 23520; without 20501 itself that is 3019, so 20501 is deficient (3019 is less than 20501). Euler's totient φ(20501) = 17712 numbers up to 20501 share no factor with it.
- 4
The digits of 20501 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 56 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20501 = 13 \times 19 \times 83 \]
20501 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 23520 |
| Euler totient φ(n) | 17712 |
| Square | 420291001 |
| Cube | 8616385811501 |
| Square root | 143.181703 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 56 |
| Scientific notation | 2.0501 × |
20501 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand five hundred and one |
| Binary (base 2) | 101000000010101 |
| Octal (base 8) | 50025 |
| Hexadecimal (base 16) | 5015 |
| Base 3 | 1001010022 |
| As time | 20501 seconds = 5 h 41 min 41 s |
Is 20501 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 2) | 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 5) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 20501 a prime number?
No. 20501 = 13 × 19 × 83, so it is divisible by 13.
What are the factors of 20501?
1, 13, 19, 83, 247, 1079, 1577, 20501.
What is 20501 in binary?
101000000010101 (hexadecimal 5015, octal 50025).
What is the square root of 20501?
About 143.1817.
Is 20501 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 20501?
It is a composite number with 8 divisors.