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The number 18625

18625 is a composite number with 8 divisors. Its prime factorisation is 535^{3} Ɨ 149. Divisors (8): 1, 5, 25, 125, 149, 745, 3725, 18625.

Number

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How to work it out

  1. 1

    What is special about 18625: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    18625 is composite. Its prime factorisation is

    18625=53Ɨ14918625 = 5^{3} \times 149
  3. 3

    The divisors add up to 23400; without 18625 itself that is 4775, so 18625 is deficient (4775 is less than 18625). Euler's totient φ(18625) = 14800 numbers up to 18625 share no factor with it.

  4. 4

    The digits of 18625 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 110 steps to reach 1.

LaTeX source of the formulas on this page
\[ 18625 = 5^{3} \times 149 \]

18625 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors23400
Euler totient φ(n)14800
Square346890625
Cube6460837890625
Square root136.473441 (= 5√745)
Digit sum / digital root22 / 4
Collatz steps to 1110
Scientific notation1.8625 Ɨ 10410^{4}

18625 in other forms

FormValue
In wordseighteen thousand six hundred and twenty-five
Binary (base 2)100100011000001
Octal (base 8)44301
Hexadecimal (base 16)48C1
Base 3221112211
As time18625 seconds = 5 h 10 min 25 s

Is 18625 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 1)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 (18625 Ć· 5 = 3725)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 1)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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 4)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 2)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 18625 a prime number?

No. 18625 = 535^{3} Ɨ 149, so it is divisible by 5.

What are the factors of 18625?

1, 5, 25, 125, 149, 745, 3725, 18625.

What is 18625 in binary?

100100011000001 (hexadecimal 48C1, octal 44301).

What is the square root of 18625?

About 136.4734, exactly 5√745.

Is 18625 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 18625?

18625 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    18625: is it prime? Factors, square root, binary, Roman numeral | WordGPT