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The number 7096

7096 is a composite number with 8 divisors. Its prime factorisation is 232^{3} × 887. Divisors (8): 1, 2, 4, 8, 887, 1774, 3548, 7096.

Number

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How to work it out

  1. 1

    7096 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

    7096 is composite. Its prime factorisation is

    7096=23×8877096 = 2^{3} \times 887
  3. 3

    The divisors add up to 13320; without 7096 itself that is 6224, so 7096 is deficient (6224 is less than 7096). Euler's totient φ(7096) = 3544 numbers up to 7096 share no factor with it.

  4. 4

    The digits of 7096 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.

LaTeX source of the formulas on this page
\[ 7096 = 2^{3} \times 887 \]

7096 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors13320
Euler totient φ(n)3544
Square50353216
Cube357306420736
Square root84.237759 (= 2√1774)
Digit sum / digital root22 / 4
Collatz steps to 157
Scientific notation7.096 × 10310^{3}

7096 in other forms

FormValue
In wordsseven thousand and ninety-six
Binary (base 2)1101110111000
Octal (base 8)15670
Hexadecimal (base 16)1BB8
Base 3100201211
As time7096 seconds = 1 h 58 min 16 s

Is 7096 divisible by 2 to 12?

DivisorAnswerRule
2Yes (7096 ÷ 2 = 3548)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 1)A number is divisible by 3 if the digits add up to a multiple of 3.
4Yes (7096 ÷ 4 = 1774)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 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 5)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 (7096 ÷ 8 = 887)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 4)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 1)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 7096 a prime number?

No. 7096 = 232^{3} × 887, so it is divisible by 2.

What are the factors of 7096?

1, 2, 4, 8, 887, 1774, 3548, 7096.

What is 7096 in binary?

1101110111000 (hexadecimal 1BB8, octal 15670).

What is the square root of 7096?

About 84.2378, exactly 2√1774.

Is 7096 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 7096?

It is a composite number with 8 divisors.

All about 7096

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