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The number 84025

84025 is a composite number with 6 divisors. Its prime factorisation is 525^{2} Ɨ 3361. Divisors (6): 1, 5, 25, 3361, 16805, 84025.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    What is special about 84025: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    84025 is composite. Its prime factorisation is

    84025=52Ɨ336184025 = 5^{2} \times 3361
  3. 3

    The divisors add up to 104222; without 84025 itself that is 20197, so 84025 is deficient (20197 is less than 84025). Euler's totient φ(84025) = 67200 numbers up to 84025 share no factor with it.

  4. 4

    The digits of 84025 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.

LaTeX source of the formulas on this page
\[ 84025 = 5^{2} \times 3361 \]

84025 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors104222
Euler totient φ(n)67200
Square7060200625
Cube593233357515625
Square root289.870661 (= 5√3361)
Digit sum / digital root19 / 1
Collatz steps to 1133
Scientific notation8.4025 Ɨ 10410^{4}

84025 in other forms

FormValue
In wordseighty-four thousand and twenty-five
Binary (base 2)10100100000111001
Octal (base 8)244071
Hexadecimal (base 16)14839
Base 311021021001
As time84025 seconds = 23 h 20 min 25 s

Is 84025 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 (84025 Ć· 5 = 16805)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 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 1)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 7)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 84025 a prime number?

No. 84025 = 525^{2} Ɨ 3361, so it is divisible by 5.

What are the factors of 84025?

1, 5, 25, 3361, 16805, 84025.

What is 84025 in binary?

10100100000111001 (hexadecimal 14839, octal 244071).

What is the square root of 84025?

About 289.8707, exactly 5√3361.

Is 84025 divisible by 3?

No. Its digits add up to 19, which is not a multiple of 3.

What is special about the number 84025?

84025 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    84025: is it prime? Factors, square root, binary, Roman numeral | WordGPT