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The number 5816

5816 is a composite number with 8 divisors. Its prime factorisation is 232^{3} × 727. Divisors (8): 1, 2, 4, 8, 727, 1454, 2908, 5816.

Number

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How to work it out

  1. 1

    5816 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    5816 is composite. Its prime factorisation is

    5816=23×7275816 = 2^{3} \times 727
  3. 3

    The divisors add up to 10920; without 5816 itself that is 5104, so 5816 is deficient (5104 is less than 5816). Euler's totient φ(5816) = 2904 numbers up to 5816 share no factor with it.

  4. 4

    The digits of 5816 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.

LaTeX source of the formulas on this page
\[ 5816 = 2^{3} \times 727 \]

5816 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors10920
Euler totient φ(n)2904
Square33825856
Cube196731178496
Square root76.262704 (= 2√1454)
Digit sum / digital root20 / 2
Collatz steps to 149
Scientific notation5.816 × 10310^{3}

5816 in other forms

FormValue
In wordsfive thousand eight hundred and sixteen
Binary (base 2)1011010111000
Octal (base 8)13270
Hexadecimal (base 16)16B8
Base 321222102
As time5816 seconds = 1 h 36 min 56 s

Is 5816 divisible by 2 to 12?

DivisorAnswerRule
2Yes (5816 ÷ 2 = 2908)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 2)A number is divisible by 3 if the digits add up to a multiple of 3.
4Yes (5816 ÷ 4 = 1454)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 1)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 2)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (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.
8Yes (5816 ÷ 8 = 727)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 2)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 6)A number is divisible by 10 if the last digit is 0.
11No (remainder 8)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 5816 a prime number?

No. 5816 = 232^{3} × 727, so it is divisible by 2.

What are the factors of 5816?

1, 2, 4, 8, 727, 1454, 2908, 5816.

What is 5816 in binary?

1011010111000 (hexadecimal 16B8, octal 13270).

What is the square root of 5816?

About 76.2627, exactly 2√1454.

Is 5816 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 5816?

It is a composite number with 8 divisors.

All about 5816

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