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The number 84925

84925 is a composite number with 12 divisors. Its prime factorisation is 525^{2} × 43 × 79. Divisors (12): 1, 5, 25, 43, 79, 215, 395, 1075, 1975, 3397, 16985, 84925.

Number

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How to work it out

  1. 1

    What is special about 84925: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    84925 is composite. Its prime factorisation is

    84925=52×43×7984925 = 5^{2} \times 43 \times 79
  3. 3

    The divisors add up to 109120; without 84925 itself that is 24195, so 84925 is deficient (24195 is less than 84925). Euler's totient φ(84925) = 65520 numbers up to 84925 share no factor with it.

  4. 4

    The digits of 84925 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 195 steps to reach 1.

LaTeX source of the formulas on this page
\[ 84925 = 5^{2} \times 43 \times 79 \]

84925 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors109120
Euler totient φ(n)65520
Square7212255625
Cube612500808953125
Square root291.418942 (= 5√3397)
Digit sum / digital root28 / 1
Collatz steps to 1195
Scientific notation8.4925 × 10410^{4}

84925 in other forms

FormValue
In wordseighty-four thousand nine hundred and twenty-five
Binary (base 2)10100101110111101
Octal (base 8)245675
Hexadecimal (base 16)14BBD
Base 311022111101
As time84925 seconds = 23 h 35 min 25 s

Is 84925 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 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (84925 ÷ 5 = 16985)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 1)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 1)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 5)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 84925 a prime number?

No. 84925 = 525^{2} × 43 × 79, so it is divisible by 5.

What are the factors of 84925?

1, 5, 25, 43, 79, 215, 395, 1075, 1975, 3397, 16985, 84925.

What is 84925 in binary?

10100101110111101 (hexadecimal 14BBD, octal 245675).

What is the square root of 84925?

About 291.4189, exactly 5√3397.

Is 84925 divisible by 3?

No. Its digits add up to 28, which is not a multiple of 3.

What is special about the number 84925?

84925 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    84925: is it prime? Factors, square root, binary, Roman numeral | WordGPT