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The number 5575

5575 is a composite number with 6 divisors. Its prime factorisation is 525^{2} Ɨ 223. Divisors (6): 1, 5, 25, 223, 1115, 5575.

Number

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How to work it out

  1. 1

    5575 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

    5575 is composite. Its prime factorisation is

    5575=52Ɨ2235575 = 5^{2} \times 223
  3. 3

    The divisors add up to 6944; without 5575 itself that is 1369, so 5575 is deficient (1369 is less than 5575). Euler's totient φ(5575) = 4440 numbers up to 5575 share no factor with it.

  4. 4

    The digits of 5575 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 67 steps to reach 1.

LaTeX source of the formulas on this page
\[ 5575 = 5^{2} \times 223 \]

5575 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors6944
Euler totient φ(n)4440
Square31080625
Cube173274484375
Square root74.665923 (= 5√223)
Digit sum / digital root22 / 4
Collatz steps to 167
Scientific notation5.575 Ɨ 10310^{3}

5575 in other forms

FormValue
In wordsfive thousand five hundred and seventy-five
Binary (base 2)1010111000111
Octal (base 8)12707
Hexadecimal (base 16)15C7
Base 321122111
As time5575 seconds = 1 h 32 min 55 s

Is 5575 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 3)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (5575 Ć· 5 = 1115)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 3)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 7)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 9)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 5575 a prime number?

No. 5575 = 525^{2} Ɨ 223, so it is divisible by 5.

What are the factors of 5575?

1, 5, 25, 223, 1115, 5575.

What is 5575 in binary?

1010111000111 (hexadecimal 15C7, octal 12707).

What is the square root of 5575?

About 74.6659, exactly 5√223.

Is 5575 divisible by 3?

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

What is special about the number 5575?

It is a composite number with 6 divisors.

All about 5575

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    5575: is it prime? Factors, square root, binary, Roman numeral | WordGPT