The number 16502
16502 is a composite number with 8 divisors. Its prime factorisation is 2 × 37 × 223. Divisors (8): 1, 2, 37, 74, 223, 446, 8251, 16502.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16502 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16502 is composite. Its prime factorisation is
- 3
The divisors add up to 25536; without 16502 itself that is 9034, so 16502 is deficient (9034 is less than 16502). Euler's totient φ(16502) = 7992 numbers up to 16502 share no factor with it.
- 4
The digits of 16502 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16502 = 2 \times 37 \times 223 \]
16502 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 25536 |
| Euler totient φ(n) | 7992 |
| Square | 272316004 |
| Cube | 4493758698008 |
| Square root | 128.460111 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.6502 × |
16502 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand five hundred and two |
| Binary (base 2) | 100000001110110 |
| Octal (base 8) | 40166 |
| Hexadecimal (base 16) | 4076 |
| Base 3 | 211122012 |
| As time | 16502 seconds = 4 h 35 min 2 s |
Is 16502 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16502 ÷ 2 = 8251) | 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 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | No (remainder 5) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16502 a prime number?
No. 16502 = 2 × 37 × 223, so it is divisible by 2.
What are the factors of 16502?
1, 2, 37, 74, 223, 446, 8251, 16502.
What is 16502 in binary?
100000001110110 (hexadecimal 4076, octal 40166).
What is the square root of 16502?
About 128.4601.
Is 16502 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 16502?
It is a composite number with 8 divisors.