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The number 18052

18052 is a composite number with 6 divisors. Its prime factorisation is 222^{2} × 4513. Divisors (6): 1, 2, 4, 4513, 9026, 18052.

Number

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How to work it out

  1. 1

    What is special about 18052: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    18052 is composite. Its prime factorisation is

    18052=22×451318052 = 2^{2} \times 4513
  3. 3

    The divisors add up to 31598; without 18052 itself that is 13546, so 18052 is deficient (13546 is less than 18052). Euler's totient φ(18052) = 9024 numbers up to 18052 share no factor with it.

  4. 4

    The digits of 18052 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 185 steps to reach 1.

LaTeX source of the formulas on this page
\[ 18052 = 2^{2} \times 4513 \]

18052 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors31598
Euler totient φ(n)9024
Square325874704
Cube5882690156608
Square root134.357731 (= 2√4513)
Digit sum / digital root16 / 7
Collatz steps to 1185
Scientific notation1.8052 × 10410^{4}

18052 in other forms

FormValue
In wordseighteen thousand and fifty-two
Binary (base 2)100011010000100
Octal (base 8)43204
Hexadecimal (base 16)4684
Base 3220202121
As time18052 seconds = 5 h 0 min 52 s

Is 18052 divisible by 2 to 12?

DivisorAnswerRule
2Yes (18052 ÷ 2 = 9026)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 (18052 ÷ 4 = 4513)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 6)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 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.
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 18052 a prime number?

No. 18052 = 222^{2} × 4513, so it is divisible by 2.

What are the factors of 18052?

1, 2, 4, 4513, 9026, 18052.

What is 18052 in binary?

100011010000100 (hexadecimal 4684, octal 43204).

What is the square root of 18052?

About 134.3577, exactly 2√4513.

Is 18052 divisible by 3?

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

What is special about the number 18052?

18052 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    18052: is it prime? Factors, square root, binary, Roman numeral | WordGPT