The number 20502
20502 is a palindrome: it reads 20502 backwards too. Its prime factorisation is 2 × × 17 × 67. Divisors (24): 1, 2, 3, 6, 9, 17, 18, 34, 51, 67, 102, 134, 153, 201, 306, 402 … 20502.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 20502: a palindrome: it reads 20502 backwards too; a Harshad number: divisible by its digit sum 9.
- 2
20502 is composite. Its prime factorisation is
- 3
The divisors add up to 47736; without 20502 itself that is 27234, so 20502 is abundant (27234 is more than 20502). Euler's totient φ(20502) = 6336 numbers up to 20502 share no factor with it.
- 4
The digits of 20502 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 149 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20502 = 2 \times 3^{2} \times 17 \times 67 \]20502 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 47736 |
| Euler totient φ(n) | 6336 |
| Square | 420332004 |
| Cube | 8617646746008 |
| Square root | 143.185195 (= 3√2278) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 149 |
| Scientific notation | 2.0502 × |
20502 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand five hundred and two |
| Binary (base 2) | 101000000010110 |
| Octal (base 8) | 50026 |
| Hexadecimal (base 16) | 5016 |
| Base 3 | 1001010100 |
| As time | 20502 seconds = 5 h 41 min 42 s |
Is 20502 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20502 ÷ 2 = 10251) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (20502 ÷ 3 = 6834) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (20502 ÷ 6 = 3417) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (20502 ÷ 9 = 2278) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 20502 a prime number?
No. 20502 = 2 × × 17 × 67, so it is divisible by 2.
What are the factors of 20502?
1, 2, 3, 6, 9, 17, 18, 34, 51, 67, 102, 134, 153, 201, 306, 402, 603, 1139, 1206, 2278, 3417, 6834, 10251, 20502.
What is 20502 in binary?
101000000010110 (hexadecimal 5016, octal 50026).
What is the square root of 20502?
About 143.1852, exactly 3√2278.
Is 20502 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 20502?
20502 is a palindrome: it reads 20502 backwards too; a Harshad number: divisible by its digit sum 9.