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The number 5375

5375 is a composite number with 8 divisors. Its prime factorisation is 535^{3} Ɨ 43. Divisors (8): 1, 5, 25, 43, 125, 215, 1075, 5375.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    5375 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

    5375 is composite. Its prime factorisation is

    5375=53Ɨ435375 = 5^{3} \times 43
  3. 3

    The divisors add up to 6864; without 5375 itself that is 1489, so 5375 is deficient (1489 is less than 5375). Euler's totient φ(5375) = 4200 numbers up to 5375 share no factor with it.

  4. 4

    The digits of 5375 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 98 steps to reach 1.

LaTeX source of the formulas on this page
\[ 5375 = 5^{3} \times 43 \]

5375 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors6864
Euler totient φ(n)4200
Square28890625
Cube155287109375
Square root73.314391 (= 5√215)
Digit sum / digital root20 / 2
Collatz steps to 198
Scientific notation5.375 Ɨ 10310^{3}

5375 in other forms

FormValue
In wordsfive thousand three hundred and seventy-five
Binary (base 2)1010011111111
Octal (base 8)12377
Hexadecimal (base 16)14FF
Base 321101002
As time5375 seconds = 1 h 29 min 35 s

Is 5375 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 (5375 Ć· 5 = 1075)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 6)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 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 7)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 5375 a prime number?

No. 5375 = 535^{3} Ɨ 43, so it is divisible by 5.

What are the factors of 5375?

1, 5, 25, 43, 125, 215, 1075, 5375.

What is 5375 in binary?

1010011111111 (hexadecimal 14FF, octal 12377).

What is the square root of 5375?

About 73.3144, exactly 5√215.

Is 5375 divisible by 3?

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

What is special about the number 5375?

It is a composite number with 8 divisors.

All about 5375

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