The number 16506
16506 is a composite number with 24 divisors. Its prime factorisation is 2 × × 7 × 131. Divisors (24): 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 131, 262, 393, 786 … 16506.
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How to work it out
- 1
What is special about 16506: a Harshad number: divisible by its digit sum 18.
- 2
16506 is composite. Its prime factorisation is
- 3
The divisors add up to 41184; without 16506 itself that is 24678, so 16506 is abundant (24678 is more than 16506). Euler's totient φ(16506) = 4680 numbers up to 16506 share no factor with it.
- 4
The digits of 16506 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16506 = 2 \times 3^{2} \times 7 \times 131 \]16506 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 41184 |
| Euler totient φ(n) | 4680 |
| Square | 272448036 |
| Cube | 4497027282216 |
| Square root | 128.475679 (= 3√1834) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 40 |
| Scientific notation | 1.6506 × |
16506 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand five hundred and six |
| Binary (base 2) | 100000001111010 |
| Octal (base 8) | 40172 |
| Hexadecimal (base 16) | 407A |
| Base 3 | 211122100 |
| As time | 16506 seconds = 4 h 35 min 6 s |
Is 16506 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16506 ÷ 2 = 8253) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16506 ÷ 3 = 5502) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (16506 ÷ 6 = 2751) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (16506 ÷ 7 = 2358) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (16506 ÷ 9 = 1834) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 16506 a prime number?
No. 16506 = 2 × × 7 × 131, so it is divisible by 2.
What are the factors of 16506?
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 131, 262, 393, 786, 917, 1179, 1834, 2358, 2751, 5502, 8253, 16506.
What is 16506 in binary?
100000001111010 (hexadecimal 407A, octal 40172).
What is the square root of 16506?
About 128.4757, exactly 3√1834.
Is 16506 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 16506?
16506 is a Harshad number: divisible by its digit sum 18.