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The number 28172

28172 is a composite number with 6 divisors. Its prime factorisation is 222^{2} × 7043. Divisors (6): 1, 2, 4, 7043, 14086, 28172.

Number

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How to work it out

  1. 1

    28172 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

    28172 is composite. Its prime factorisation is

    28172=22×704328172 = 2^{2} \times 7043
  3. 3

    The divisors add up to 49308; without 28172 itself that is 21136, so 28172 is deficient (21136 is less than 28172). Euler's totient φ(28172) = 14084 numbers up to 28172 share no factor with it.

  4. 4

    The digits of 28172 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 108 steps to reach 1.

LaTeX source of the formulas on this page
\[ 28172 = 2^{2} \times 7043 \]

28172 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors49308
Euler totient φ(n)14084
Square793661584
Cube22359034144448
Square root167.845167 (= 2√7043)
Digit sum / digital root20 / 2
Collatz steps to 1108
Scientific notation2.8172 × 10410^{4}

28172 in other forms

FormValue
In wordstwenty-eight thousand one hundred and seventy-two
Binary (base 2)110111000001100
Octal (base 8)67014
Hexadecimal (base 16)6E0C
Base 31102122102
As time28172 seconds = 7 h 49 min 32 s

Is 28172 divisible by 2 to 12?

DivisorAnswerRule
2Yes (28172 ÷ 2 = 14086)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 (28172 ÷ 4 = 7043)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 2)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 4)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 2)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 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 28172 a prime number?

No. 28172 = 222^{2} × 7043, so it is divisible by 2.

What are the factors of 28172?

1, 2, 4, 7043, 14086, 28172.

What is 28172 in binary?

110111000001100 (hexadecimal 6E0C, octal 67014).

What is the square root of 28172?

About 167.8452, exactly 2√7043.

Is 28172 divisible by 3?

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

What is special about the number 28172?

It is a composite number with 6 divisors.

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