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The number 18250

18250 is a composite number with 16 divisors. Its prime factorisation is 2 × 535^{3} × 73. Divisors (16): 1, 2, 5, 10, 25, 50, 73, 125, 146, 250, 365, 730, 1825, 3650, 9125, 18250.

Number

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How to work it out

  1. 1

    What is special about 18250: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    18250 is composite. Its prime factorisation is

    18250=2×53×7318250 = 2 \times 5^{3} \times 73
  3. 3

    The divisors add up to 34632; without 18250 itself that is 16382, so 18250 is deficient (16382 is less than 18250). Euler's totient φ(18250) = 7200 numbers up to 18250 share no factor with it.

  4. 4

    The digits of 18250 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 154 steps to reach 1.

LaTeX source of the formulas on this page
\[ 18250 = 2 \times 5^{3} \times 73 \]

18250 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors34632
Euler totient φ(n)7200
Square333062500
Cube6078390625000
Square root135.092561 (= 5√730)
Digit sum / digital root16 / 7
Collatz steps to 1154
Scientific notation1.825 × 10410^{4}

18250 in other forms

FormValue
In wordseighteen thousand two hundred and fifty
Binary (base 2)100011101001010
Octal (base 8)43512
Hexadecimal (base 16)474A
Base 3221000221
As time18250 seconds = 5 h 4 min 10 s

Is 18250 divisible by 2 to 12?

DivisorAnswerRule
2Yes (18250 ÷ 2 = 9125)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.
5Yes (18250 ÷ 5 = 3650)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 1)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.
10Yes (18250 ÷ 10 = 1825)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 10)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 18250 a prime number?

No. 18250 = 2 × 535^{3} × 73, so it is divisible by 2.

What are the factors of 18250?

1, 2, 5, 10, 25, 50, 73, 125, 146, 250, 365, 730, 1825, 3650, 9125, 18250.

What is 18250 in binary?

100011101001010 (hexadecimal 474A, octal 43512).

What is the square root of 18250?

About 135.0926, exactly 5√730.

Is 18250 divisible by 3?

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

What is special about the number 18250?

18250 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    18250: is it prime? Factors, square root, binary, Roman numeral | WordGPT