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The number 55375

55375 is a composite number with 8 divisors. Its prime factorisation is 535^{3} Ɨ 443. Divisors (8): 1, 5, 25, 125, 443, 2215, 11075, 55375.

Number

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How to work it out

  1. 1

    What is special about 55375: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 25.

  2. 2

    55375 is composite. Its prime factorisation is

    55375=53Ɨ44355375 = 5^{3} \times 443
  3. 3

    The divisors add up to 69264; without 55375 itself that is 13889, so 55375 is deficient (13889 is less than 55375). Euler's totient φ(55375) = 44200 numbers up to 55375 share no factor with it.

  4. 4

    The digits of 55375 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.

LaTeX source of the formulas on this page
\[ 55375 = 5^{3} \times 443 \]

55375 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors69264
Euler totient φ(n)44200
Square3066390625
Cube169801380859375
Square root235.318933 (= 5√2215)
Digit sum / digital root25 / 7
Collatz steps to 147
Scientific notation5.5375 Ɨ 10410^{4}

55375 in other forms

FormValue
In wordsfifty-five thousand three hundred and seventy-five
Binary (base 2)1101100001001111
Octal (base 8)154117
Hexadecimal (base 16)D84F
Base 32210221221
As time55375 seconds = 15 h 22 min 55 s

Is 55375 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 (55375 Ć· 5 = 11075)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 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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)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 1)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 55375 a prime number?

No. 55375 = 535^{3} Ɨ 443, so it is divisible by 5.

What are the factors of 55375?

1, 5, 25, 125, 443, 2215, 11075, 55375.

What is 55375 in binary?

1101100001001111 (hexadecimal D84F, octal 154117).

What is the square root of 55375?

About 235.3189, exactly 5√2215.

Is 55375 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 55375?

55375 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 25.

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    55375: is it prime? Factors, square root, binary, Roman numeral | WordGPT