The number 16101
16101 is a composite number with 6 divisors. Its prime factorisation is × 1789. Divisors (6): 1, 3, 9, 1789, 5367, 16101.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16101: a Harshad number: divisible by its digit sum 9.
- 2
16101 is composite. Its prime factorisation is
- 3
The divisors add up to 23270; without 16101 itself that is 7169, so 16101 is deficient (7169 is less than 16101). Euler's totient φ(16101) = 10728 numbers up to 16101 share no factor with it.
- 4
The digits of 16101 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 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16101 = 3^{2} \times 1789 \]16101 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 23270 |
| Euler totient φ(n) | 10728 |
| Square | 259242201 |
| Cube | 4174058678301 |
| Square root | 126.889716 (= 3√1789) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 71 |
| Scientific notation | 1.6101 × |
16101 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand one hundred and one |
| Binary (base 2) | 11111011100101 |
| Octal (base 8) | 37345 |
| Hexadecimal (base 16) | 3EE5 |
| Base 3 | 211002100 |
| As time | 16101 seconds = 4 h 28 min 21 s |
Is 16101 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 (16101 ÷ 3 = 5367) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (16101 ÷ 9 = 1789) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16101 a prime number?
No. 16101 = × 1789, so it is divisible by 3.
What are the factors of 16101?
1, 3, 9, 1789, 5367, 16101.
What is 16101 in binary?
11111011100101 (hexadecimal 3EE5, octal 37345).
What is the square root of 16101?
About 126.8897, exactly 3√1789.
Is 16101 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 16101?
16101 is a Harshad number: divisible by its digit sum 9.