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The number 5675

5675 is a composite number with 6 divisors. Its prime factorisation is 525^{2} Ɨ 227. Divisors (6): 1, 5, 25, 227, 1135, 5675.

Number

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How to work it out

  1. 1

    5675 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

    5675 is composite. Its prime factorisation is

    5675=52Ɨ2275675 = 5^{2} \times 227
  3. 3

    The divisors add up to 7068; without 5675 itself that is 1393, so 5675 is deficient (1393 is less than 5675). Euler's totient φ(5675) = 4520 numbers up to 5675 share no factor with it.

  4. 4

    The digits of 5675 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.

LaTeX source of the formulas on this page
\[ 5675 = 5^{2} \times 227 \]

5675 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors7068
Euler totient φ(n)4520
Square32205625
Cube182766921875
Square root75.332596 (= 5√227)
Digit sum / digital root23 / 5
Collatz steps to 1129
Scientific notation5.675 Ɨ 10310^{3}

5675 in other forms

FormValue
In wordsfive thousand six hundred and seventy-five
Binary (base 2)1011000101011
Octal (base 8)13053
Hexadecimal (base 16)162B
Base 321210012
As time5675 seconds = 1 h 34 min 35 s

Is 5675 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 3)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (5675 Ć· 5 = 1135)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 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 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 5)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 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 5675 a prime number?

No. 5675 = 525^{2} Ɨ 227, so it is divisible by 5.

What are the factors of 5675?

1, 5, 25, 227, 1135, 5675.

What is 5675 in binary?

1011000101011 (hexadecimal 162B, octal 13053).

What is the square root of 5675?

About 75.3326, exactly 5√227.

Is 5675 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 5675?

It is a composite number with 6 divisors.

All about 5675

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