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The number 14375

14375 is a composite number with 10 divisors. Its prime factorisation is 545^{4} Ɨ 23. Divisors (10): 1, 5, 23, 25, 115, 125, 575, 625, 2875, 14375.

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How to work it out

  1. 1

    What is special about 14375: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    14375 is composite. Its prime factorisation is

    14375=54Ɨ2314375 = 5^{4} \times 23
  3. 3

    The divisors add up to 18744; without 14375 itself that is 4369, so 14375 is deficient (4369 is less than 14375). Euler's totient φ(14375) = 11000 numbers up to 14375 share no factor with it.

  4. 4

    The digits of 14375 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 133 steps to reach 1.

LaTeX source of the formulas on this page
\[ 14375 = 5^{4} \times 23 \]

14375 at a glance

PropertyValue
Typecomposite
Number of divisors10
Sum of divisors18744
Euler totient φ(n)11000
Square206640625
Cube2970458984375
Square root119.895788 (= 25√23)
Digit sum / digital root20 / 2
Collatz steps to 1133
Scientific notation1.4375 Ɨ 10410^{4}

14375 in other forms

FormValue
In wordsfourteen thousand three hundred and seventy-five
Binary (base 2)11100000100111
Octal (base 8)34047
Hexadecimal (base 16)3827
Base 3201201102
As time14375 seconds = 3 h 59 min 35 s

Is 14375 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 (14375 Ć· 5 = 2875)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 4)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 9)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 14375 a prime number?

No. 14375 = 545^{4} Ɨ 23, so it is divisible by 5.

What are the factors of 14375?

1, 5, 23, 25, 115, 125, 575, 625, 2875, 14375.

What is 14375 in binary?

11100000100111 (hexadecimal 3827, octal 34047).

What is the square root of 14375?

About 119.8958, exactly 25√23.

Is 14375 divisible by 3?

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

What is special about the number 14375?

14375 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    14375: is it prime? Factors, square root, binary, Roman numeral | WordGPT