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The number 96112

96112 is a composite number with 10 divisors. Its prime factorisation is 242^{4} × 6007. Divisors (10): 1, 2, 4, 8, 16, 6007, 12014, 24028, 48056, 96112.

Number

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How to work it out

  1. 1

    96112 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

    96112 is composite. Its prime factorisation is

    96112=24×600796112 = 2^{4} \times 6007
  3. 3

    The divisors add up to 186248; without 96112 itself that is 90136, so 96112 is deficient (90136 is less than 96112). Euler's totient φ(96112) = 48048 numbers up to 96112 share no factor with it.

  4. 4

    The digits of 96112 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.

LaTeX source of the formulas on this page
\[ 96112 = 2^{4} \times 6007 \]

96112 at a glance

PropertyValue
Typecomposite
Number of divisors10
Sum of divisors186248
Euler totient φ(n)48048
Square9237516544
Cube887836190076928
Square root310.019354 (= 4√6007)
Digit sum / digital root19 / 1
Collatz steps to 145
Scientific notation9.6112 × 10410^{4}

96112 in other forms

FormValue
In wordsninety-six thousand one hundred and twelve
Binary (base 2)10111011101110000
Octal (base 8)273560
Hexadecimal (base 16)17770
Base 311212211201
As time96112 seconds = 26 h 41 min 52 s

Is 96112 divisible by 2 to 12?

DivisorAnswerRule
2Yes (96112 ÷ 2 = 48056)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 (96112 ÷ 4 = 24028)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 2)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 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.
8Yes (96112 ÷ 8 = 12014)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 1)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 2)A number is divisible by 10 if the last digit is 0.
11No (remainder 5)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 96112 a prime number?

No. 96112 = 242^{4} × 6007, so it is divisible by 2.

What are the factors of 96112?

1, 2, 4, 8, 16, 6007, 12014, 24028, 48056, 96112.

What is 96112 in binary?

10111011101110000 (hexadecimal 17770, octal 273560).

What is the square root of 96112?

About 310.0194, exactly 4√6007.

Is 96112 divisible by 3?

No. Its digits add up to 19, which is not a multiple of 3.

What is special about the number 96112?

It is a composite number with 10 divisors.

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    96112: is it prime? Factors, square root, binary, Roman numeral | WordGPT