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The number 43625

43625 is a composite number with 8 divisors. Its prime factorisation is 535^{3} Ɨ 349. Divisors (8): 1, 5, 25, 125, 349, 1745, 8725, 43625.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    43625 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

    43625 is composite. Its prime factorisation is

    43625=53Ɨ34943625 = 5^{3} \times 349
  3. 3

    The divisors add up to 54600; without 43625 itself that is 10975, so 43625 is deficient (10975 is less than 43625). Euler's totient φ(43625) = 34800 numbers up to 43625 share no factor with it.

  4. 4

    The digits of 43625 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 163 steps to reach 1.

LaTeX source of the formulas on this page
\[ 43625 = 5^{3} \times 349 \]

43625 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors54600
Euler totient φ(n)34800
Square1903140625
Cube83024509765625
Square root208.865986 (= 5√1745)
Digit sum / digital root20 / 2
Collatz steps to 1163
Scientific notation4.3625 Ɨ 10410^{4}

43625 in other forms

FormValue
In wordsforty-three thousand six hundred and twenty-five
Binary (base 2)1010101001101001
Octal (base 8)125151
Hexadecimal (base 16)AA69
Base 32012211202
As time43625 seconds = 12 h 7 min 5 s

Is 43625 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 (43625 Ć· 5 = 8725)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 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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 2)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 10)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 43625 a prime number?

No. 43625 = 535^{3} Ɨ 349, so it is divisible by 5.

What are the factors of 43625?

1, 5, 25, 125, 349, 1745, 8725, 43625.

What is 43625 in binary?

1010101001101001 (hexadecimal AA69, octal 125151).

What is the square root of 43625?

About 208.8660, exactly 5√1745.

Is 43625 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 43625?

It is a composite number with 8 divisors.

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    43625: is it prime? Factors, square root, binary, Roman numeral | WordGPT