The number 16116
16116 is a composite number with 24 divisors. Its prime factorisation is × 3 × 17 × 79. Divisors (24): 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 79, 102, 158, 204, 237, 316 … 16116.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16116 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16116 is composite. Its prime factorisation is
- 3
The divisors add up to 40320; without 16116 itself that is 24204, so 16116 is abundant (24204 is more than 16116). Euler's totient φ(16116) = 4992 numbers up to 16116 share no factor with it.
- 4
The digits of 16116 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 97 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16116 = 2^{2} \times 3 \times 17 \times 79 \]16116 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 40320 |
| Euler totient φ(n) | 4992 |
| Square | 259725456 |
| Cube | 4185735448896 |
| Square root | 126.948809 (= 2√4029) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 97 |
| Scientific notation | 1.6116 × |
16116 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand one hundred and sixteen |
| Binary (base 2) | 11111011110100 |
| Octal (base 8) | 37364 |
| Hexadecimal (base 16) | 3EF4 |
| Base 3 | 211002220 |
| As time | 16116 seconds = 4 h 28 min 36 s |
Is 16116 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16116 ÷ 2 = 8058) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16116 ÷ 3 = 5372) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (16116 ÷ 4 = 4029) | 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 (16116 ÷ 6 = 2686) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (16116 ÷ 12 = 1343) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16116 a prime number?
No. 16116 = × 3 × 17 × 79, so it is divisible by 2.
What are the factors of 16116?
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 79, 102, 158, 204, 237, 316, 474, 948, 1343, 2686, 4029, 5372, 8058, 16116.
What is 16116 in binary?
11111011110100 (hexadecimal 3EF4, octal 37364).
What is the square root of 16116?
About 126.9488, exactly 2√4029.
Is 16116 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 16116?
It is a composite number with 24 divisors.