The number 16164
16164 is a composite number with 18 divisors. Its prime factorisation is × × 449. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 449, 898, 1347, 1796, 2694, 4041, 5388 … 16164.
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How to work it out
- 1
What is special about 16164: a Harshad number: divisible by its digit sum 18.
- 2
16164 is composite. Its prime factorisation is
- 3
The divisors add up to 40950; without 16164 itself that is 24786, so 16164 is abundant (24786 is more than 16164). Euler's totient φ(16164) = 5376 numbers up to 16164 share no factor with it.
- 4
The digits of 16164 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 146 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16164 = 2^{2} \times 3^{2} \times 449 \]16164 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 40950 |
| Euler totient φ(n) | 5376 |
| Square | 261274896 |
| Cube | 4223247418944 |
| Square root | 127.137721 (= 6√449) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 146 |
| Scientific notation | 1.6164 × |
16164 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand one hundred and sixty-four |
| Binary (base 2) | 11111100100100 |
| Octal (base 8) | 37444 |
| Hexadecimal (base 16) | 3F24 |
| Base 3 | 211011200 |
| As time | 16164 seconds = 4 h 29 min 24 s |
Is 16164 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16164 ÷ 2 = 8082) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16164 ÷ 3 = 5388) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (16164 ÷ 4 = 4041) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (16164 ÷ 6 = 2694) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (16164 ÷ 9 = 1796) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (16164 ÷ 12 = 1347) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16164 a prime number?
No. 16164 = × × 449, so it is divisible by 2.
What are the factors of 16164?
1, 2, 3, 4, 6, 9, 12, 18, 36, 449, 898, 1347, 1796, 2694, 4041, 5388, 8082, 16164.
What is 16164 in binary?
11111100100100 (hexadecimal 3F24, octal 37444).
What is the square root of 16164?
About 127.1377, exactly 6√449.
Is 16164 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 16164?
16164 is a Harshad number: divisible by its digit sum 18.