The number 1616
1616 is a composite number with 10 divisors. Its prime factorisation is × 101. Divisors (10): 1, 2, 4, 8, 16, 101, 202, 404, 808, 1616.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1616 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1616 is composite. Its prime factorisation is
- 3
The divisors add up to 3162; without 1616 itself that is 1546, so 1616 is deficient (1546 is less than 1616). Euler's totient φ(1616) = 800 numbers up to 1616 share no factor with it.
- 4
The digits of 1616 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 29 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1616 = 2^{4} \times 101 \]1616 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 3162 |
| Euler totient φ(n) | 800 |
| Square | 2611456 |
| Cube | 4220112896 |
| Square root | 40.199502 (= 4√101) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 29 |
| Scientific notation | 1.616 × |
1616 in other forms
| Form | Value |
|---|---|
| In words | one thousand six hundred and sixteen |
| Roman numerals | MDCXVI |
| Binary (base 2) | 11001010000 |
| Octal (base 8) | 3120 |
| Hexadecimal (base 16) | 650 |
| Base 3 | 2012212 |
| As time | 1616 seconds = 26 min 56 s |
Is 1616 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1616 ÷ 2 = 808) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (1616 ÷ 4 = 404) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | Yes (1616 ÷ 8 = 202) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1616 a prime number?
No. 1616 = × 101, so it is divisible by 2.
What are the factors of 1616?
1, 2, 4, 8, 16, 101, 202, 404, 808, 1616.
What is 1616 in binary?
11001010000 (hexadecimal 650, octal 3120).
What is the square root of 1616?
About 40.1995, exactly 4√101.
What is 1616 in Roman numerals?
MDCXVI.
Is 1616 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 1616?
It is a composite number with 10 divisors.