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The number 18125

18125 is a composite number with 10 divisors. Its prime factorisation is 545^{4} Ɨ 29. Divisors (10): 1, 5, 25, 29, 125, 145, 625, 725, 3625, 18125.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    18125 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

    18125 is composite. Its prime factorisation is

    18125=54Ɨ2918125 = 5^{4} \times 29
  3. 3

    The divisors add up to 23430; without 18125 itself that is 5305, so 18125 is deficient (5305 is less than 18125). Euler's totient φ(18125) = 14000 numbers up to 18125 share no factor with it.

  4. 4

    The digits of 18125 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.

LaTeX source of the formulas on this page
\[ 18125 = 5^{4} \times 29 \]

18125 at a glance

PropertyValue
Typecomposite
Number of divisors10
Sum of divisors23430
Euler totient φ(n)14000
Square328515625
Cube5954345703125
Square root134.629120 (= 25√29)
Digit sum / digital root17 / 8
Collatz steps to 166
Scientific notation1.8125 Ɨ 10410^{4}

18125 in other forms

FormValue
In wordseighteen thousand one hundred and twenty-five
Binary (base 2)100011011001101
Octal (base 8)43315
Hexadecimal (base 16)46CD
Base 3220212022
As time18125 seconds = 5 h 2 min 5 s

Is 18125 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)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.
4No (remainder 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (18125 Ć· 5 = 3625)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 5)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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 8)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 5)A number is divisible by 10 if the last digit is 0.
11No (remainder 8)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 18125 a prime number?

No. 18125 = 545^{4} Ɨ 29, so it is divisible by 5.

What are the factors of 18125?

1, 5, 25, 29, 125, 145, 625, 725, 3625, 18125.

What is 18125 in binary?

100011011001101 (hexadecimal 46CD, octal 43315).

What is the square root of 18125?

About 134.6291, exactly 25√29.

Is 18125 divisible by 3?

No. Its digits add up to 17, which is not a multiple of 3.

What is special about the number 18125?

It is a composite number with 10 divisors.

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    18125: is it prime? Factors, square root, binary, Roman numeral | WordGPT