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The number 52162

52162 is a composite number with 8 divisors. Its prime factorisation is 2 × 11 × 2371. Divisors (8): 1, 2, 11, 22, 2371, 4742, 26081, 52162.

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How to work it out

  1. 1

    What is special about 52162: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    52162 is composite. Its prime factorisation is

    52162=2×11×237152162 = 2 \times 11 \times 2371
  3. 3

    The divisors add up to 85392; without 52162 itself that is 33230, so 52162 is deficient (33230 is less than 52162). Euler's totient φ(52162) = 23700 numbers up to 52162 share no factor with it.

  4. 4

    The digits of 52162 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.

LaTeX source of the formulas on this page
\[ 52162 = 2 \times 11 \times 2371 \]

52162 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors85392
Euler totient φ(n)23700
Square2720874244
Cube141926242315528
Square root228.390017
Digit sum / digital root16 / 7
Collatz steps to 183
Scientific notation5.2162 × 10410^{4}

52162 in other forms

FormValue
In wordsfifty-two thousand one hundred and sixty-two
Binary (base 2)1100101111000010
Octal (base 8)145702
Hexadecimal (base 16)CBC2
Base 32122112221
As time52162 seconds = 14 h 29 min 22 s

Is 52162 divisible by 2 to 12?

DivisorAnswerRule
2Yes (52162 ÷ 2 = 26081)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.
4No (remainder 2)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 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.
8No (remainder 2)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)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.
11Yes (52162 ÷ 11 = 4742)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 10)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 52162 a prime number?

No. 52162 = 2 × 11 × 2371, so it is divisible by 2.

What are the factors of 52162?

1, 2, 11, 22, 2371, 4742, 26081, 52162.

What is 52162 in binary?

1100101111000010 (hexadecimal CBC2, octal 145702).

What is the square root of 52162?

About 228.3900.

Is 52162 divisible by 3?

No. Its digits add up to 16, which is not a multiple of 3.

What is special about the number 52162?

52162 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    52162: is it prime? Factors, square root, binary, Roman numeral | WordGPT