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The number 82375

82375 is a composite number with 8 divisors. Its prime factorisation is 535^{3} Ɨ 659. Divisors (8): 1, 5, 25, 125, 659, 3295, 16475, 82375.

Number

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How to work it out

  1. 1

    What is special about 82375: a Harshad number: divisible by its digit sum 25.

  2. 2

    82375 is composite. Its prime factorisation is

    82375=53Ɨ65982375 = 5^{3} \times 659
  3. 3

    The divisors add up to 102960; without 82375 itself that is 20585, so 82375 is deficient (20585 is less than 82375). Euler's totient φ(82375) = 65800 numbers up to 82375 share no factor with it.

  4. 4

    The digits of 82375 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 63 steps to reach 1.

LaTeX source of the formulas on this page
\[ 82375 = 5^{3} \times 659 \]

82375 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors102960
Euler totient φ(n)65800
Square6785640625
Cube558967146484375
Square root287.010453 (= 5√3295)
Digit sum / digital root25 / 7
Collatz steps to 163
Scientific notation8.2375 Ɨ 10410^{4}

82375 in other forms

FormValue
In wordseighty-two thousand three hundred and seventy-five
Binary (base 2)10100000111000111
Octal (base 8)240707
Hexadecimal (base 16)141C7
Base 311011222221
As time82375 seconds = 22 h 52 min 55 s

Is 82375 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 (82375 Ć· 5 = 16475)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 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 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 7)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 82375 a prime number?

No. 82375 = 535^{3} Ɨ 659, so it is divisible by 5.

What are the factors of 82375?

1, 5, 25, 125, 659, 3295, 16475, 82375.

What is 82375 in binary?

10100000111000111 (hexadecimal 141C7, octal 240707).

What is the square root of 82375?

About 287.0105, exactly 5√3295.

Is 82375 divisible by 3?

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

What is special about the number 82375?

82375 is a Harshad number: divisible by its digit sum 25.

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    82375: is it prime? Factors, square root, binary, Roman numeral | WordGPT