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The number 55725

55725 is a composite number with 12 divisors. Its prime factorisation is 3 × 525^{2} × 743. Divisors (12): 1, 3, 5, 15, 25, 75, 743, 2229, 3715, 11145, 18575, 55725.

Number

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How to work it out

  1. 1

    55725 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

    55725 is composite. Its prime factorisation is

    55725=3×52×74355725 = 3 \times 5^{2} \times 743
  3. 3

    The divisors add up to 92256; without 55725 itself that is 36531, so 55725 is deficient (36531 is less than 55725). Euler's totient φ(55725) = 29680 numbers up to 55725 share no factor with it.

  4. 4

    The digits of 55725 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.

LaTeX source of the formulas on this page
\[ 55725 = 3 \times 5^{2} \times 743 \]

55725 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors92256
Euler totient φ(n)29680
Square3105275625
Cube173041484203125
Square root236.061433 (= 5√2229)
Digit sum / digital root24 / 6
Collatz steps to 1166
Scientific notation5.5725 × 10410^{4}

55725 in other forms

FormValue
In wordsfifty-five thousand seven hundred and twenty-five
Binary (base 2)1101100110101101
Octal (base 8)154655
Hexadecimal (base 16)D9AD
Base 32211102220
As time55725 seconds = 15 h 28 min 45 s

Is 55725 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).
3Yes (55725 ÷ 3 = 18575)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 (55725 ÷ 5 = 11145)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 3)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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 6)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 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 55725 a prime number?

No. 55725 = 3 × 525^{2} × 743, so it is divisible by 3.

What are the factors of 55725?

1, 3, 5, 15, 25, 75, 743, 2229, 3715, 11145, 18575, 55725.

What is 55725 in binary?

1101100110101101 (hexadecimal D9AD, octal 154655).

What is the square root of 55725?

About 236.0614, exactly 5√2229.

Is 55725 divisible by 3?

Yes. Its digits add up to 24, a multiple of 3.

What is special about the number 55725?

It is a composite number with 12 divisors.

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    55725: is it prime? Factors, square root, binary, Roman numeral | WordGPT