The number 16011
16011 is a composite number with 8 divisors. Its prime factorisation is × 593. Divisors (8): 1, 3, 9, 27, 593, 1779, 5337, 16011.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16011: a Harshad number: divisible by its digit sum 9.
- 2
16011 is composite. Its prime factorisation is
- 3
The divisors add up to 23760; without 16011 itself that is 7749, so 16011 is deficient (7749 is less than 16011). Euler's totient φ(16011) = 10656 numbers up to 16011 share no factor with it.
- 4
The digits of 16011 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 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16011 = 3^{3} \times 593 \]16011 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 23760 |
| Euler totient φ(n) | 10656 |
| Square | 256352121 |
| Cube | 4104453809331 |
| Square root | 126.534580 (= 3√1779) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.6011 × |
16011 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand and eleven |
| Binary (base 2) | 11111010001011 |
| Octal (base 8) | 37213 |
| Hexadecimal (base 16) | 3E8B |
| Base 3 | 210222000 |
| As time | 16011 seconds = 4 h 26 min 51 s |
Is 16011 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 | Yes (16011 ÷ 3 = 5337) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (16011 ÷ 9 = 1779) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16011 a prime number?
No. 16011 = × 593, so it is divisible by 3.
What are the factors of 16011?
1, 3, 9, 27, 593, 1779, 5337, 16011.
What is 16011 in binary?
11111010001011 (hexadecimal 3E8B, octal 37213).
What is the square root of 16011?
About 126.5346, exactly 3√1779.
Is 16011 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 16011?
16011 is a Harshad number: divisible by its digit sum 9.