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The number 82925

82925 is a composite number with 12 divisors. Its prime factorisation is 525^{2} × 31 × 107. Divisors (12): 1, 5, 25, 31, 107, 155, 535, 775, 2675, 3317, 16585, 82925.

Number

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How to work it out

  1. 1

    82925 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

    82925 is composite. Its prime factorisation is

    82925=52×31×10782925 = 5^{2} \times 31 \times 107
  3. 3

    The divisors add up to 107136; without 82925 itself that is 24211, so 82925 is deficient (24211 is less than 82925). Euler's totient φ(82925) = 63600 numbers up to 82925 share no factor with it.

  4. 4

    The digits of 82925 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 164 steps to reach 1.

LaTeX source of the formulas on this page
\[ 82925 = 5^{2} \times 31 \times 107 \]

82925 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors107136
Euler totient φ(n)63600
Square6876555625
Cube570238375203125
Square root287.967012 (= 5√3317)
Digit sum / digital root26 / 8
Collatz steps to 1164
Scientific notation8.2925 × 10410^{4}

82925 in other forms

FormValue
In wordseighty-two thousand nine hundred and twenty-five
Binary (base 2)10100001111101101
Octal (base 8)241755
Hexadecimal (base 16)143ED
Base 311012202022
As time82925 seconds = 23 h 2 min 5 s

Is 82925 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 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (82925 ÷ 5 = 16585)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 3)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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 8)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 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 82925 a prime number?

No. 82925 = 525^{2} × 31 × 107, so it is divisible by 5.

What are the factors of 82925?

1, 5, 25, 31, 107, 155, 535, 775, 2675, 3317, 16585, 82925.

What is 82925 in binary?

10100001111101101 (hexadecimal 143ED, octal 241755).

What is the square root of 82925?

About 287.9670, exactly 5√3317.

Is 82925 divisible by 3?

No. Its digits add up to 26, which is not a multiple of 3.

What is special about the number 82925?

It is a composite number with 12 divisors.

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    82925: is it prime? Factors, square root, binary, Roman numeral | WordGPT