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The number 88076

88076 is a composite number with 12 divisors. Its prime factorisation is 222^{2} × 97 × 227. Divisors (12): 1, 2, 4, 97, 194, 227, 388, 454, 908, 22019, 44038, 88076.

Number

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How to work it out

  1. 1

    88076 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

    88076 is composite. Its prime factorisation is

    88076=22×97×22788076 = 2^{2} \times 97 \times 227
  3. 3

    The divisors add up to 156408; without 88076 itself that is 68332, so 88076 is deficient (68332 is less than 88076). Euler's totient φ(88076) = 43392 numbers up to 88076 share no factor with it.

  4. 4

    The digits of 88076 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 195 steps to reach 1.

LaTeX source of the formulas on this page
\[ 88076 = 2^{2} \times 97 \times 227 \]

88076 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors156408
Euler totient φ(n)43392
Square7757381776
Cube683239157302976
Square root296.776010 (= 2√22019)
Digit sum / digital root29 / 2
Collatz steps to 1195
Scientific notation8.8076 × 10410^{4}

88076 in other forms

FormValue
In wordseighty-eight thousand and seventy-six
Binary (base 2)10101100000001100
Octal (base 8)254014
Hexadecimal (base 16)1580C
Base 311110211002
As time88076 seconds = 24 h 27 min 56 s

Is 88076 divisible by 2 to 12?

DivisorAnswerRule
2Yes (88076 ÷ 2 = 44038)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 (88076 ÷ 4 = 22019)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 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.
8No (remainder 4)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 10)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 88076 a prime number?

No. 88076 = 222^{2} × 97 × 227, so it is divisible by 2.

What are the factors of 88076?

1, 2, 4, 97, 194, 227, 388, 454, 908, 22019, 44038, 88076.

What is 88076 in binary?

10101100000001100 (hexadecimal 1580C, octal 254014).

What is the square root of 88076?

About 296.7760, exactly 2√22019.

Is 88076 divisible by 3?

No. Its digits add up to 29, which is not a multiple of 3.

What is special about the number 88076?

It is a composite number with 12 divisors.

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