The number 2116

No. 2116 = 2^2 × 23^2, so it is divisible by 2.

2116 is a perfect square (46²). Its prime factorisation is $2^{2}$ × $23^{2}$ . Divisors (9): 1, 2, 4, 23, 46, 92, 529, 1058, 2116.

Number

Pick any whole number from 1 to 100,000.

2116 = 2^{2} \times 23^{2}

How to work it out

1
What is special about 2116: a perfect square (46²).
2
2116 is composite. Its prime factorisation is
$2116 = 2^{2} \times 23^{2}$
3
The divisors add up to 3871; without 2116 itself that is 1755, so 2116 is deficient (1755 is less than 2116). Euler's totient φ(2116) = 1012 numbers up to 2116 share no factor with it.
4
The digits of 2116 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 32 steps to reach 1.

LaTeX source of the formulas on this page

\[ 2116 = 2^{2} \times 23^{2} \]

Form	Value
In words	two thousand one hundred and sixteen
Roman numerals	MMCXVI
Binary (base 2)	100001000100
Octal (base 8)	4104
Hexadecimal (base 16)	844
Base 3	2220101
As time	2116 seconds = 35 min 16 s

Divisor	Answer	Rule
2	Yes (2116 ÷ 2 = 1058)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	No (remainder 1)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (2116 ÷ 4 = 529)	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 4)	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 1)	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 4)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	No (remainder 4)	A number is divisible by 12 if it is divisible by both 3 and 4.

Is 2116 a prime number?

No. 2116 = $2^{2}$ × $23^{2}$ , so it is divisible by 2.

What are the factors of 2116?

1, 2, 4, 23, 46, 92, 529, 1058, 2116.

What is 2116 in binary?

100001000100 (hexadecimal 844, octal 4104).

What is the square root of 2116?

46, because 46 × 46 = 2116.

What is 2116 in Roman numerals?

MMCXVI.

Is 2116 divisible by 3?

No. Its digits add up to 10, which is not a multiple of 3.

What is special about the number 2116?

2116 is a perfect square (46²).