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The number 80125

80125 is a composite number with 8 divisors. Its prime factorisation is 535^{3} Ɨ 641. Divisors (8): 1, 5, 25, 125, 641, 3205, 16025, 80125.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    What is special about 80125: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    80125 is composite. Its prime factorisation is

    80125=53Ɨ64180125 = 5^{3} \times 641
  3. 3

    The divisors add up to 100152; without 80125 itself that is 20027, so 80125 is deficient (20027 is less than 80125). Euler's totient φ(80125) = 64000 numbers up to 80125 share no factor with it.

  4. 4

    The digits of 80125 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.

LaTeX source of the formulas on this page
\[ 80125 = 5^{3} \times 641 \]

80125 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors100152
Euler totient φ(n)64000
Square6420015625
Cube514403751953125
Square root283.063597 (= 5√3205)
Digit sum / digital root16 / 7
Collatz steps to 168
Scientific notation8.0125 Ɨ 10410^{4}

80125 in other forms

FormValue
In wordseighty thousand one hundred and twenty-five
Binary (base 2)10011100011111101
Octal (base 8)234375
Hexadecimal (base 16)138FD
Base 311001220121
As time80125 seconds = 22 h 15 min 25 s

Is 80125 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 (80125 Ć· 5 = 16025)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 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 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 1)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 80125 a prime number?

No. 80125 = 535^{3} Ɨ 641, so it is divisible by 5.

What are the factors of 80125?

1, 5, 25, 125, 641, 3205, 16025, 80125.

What is 80125 in binary?

10011100011111101 (hexadecimal 138FD, octal 234375).

What is the square root of 80125?

About 283.0636, exactly 5√3205.

Is 80125 divisible by 3?

No. Its digits add up to 16, which is not a multiple of 3.

What is special about the number 80125?

80125 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    80125: is it prime? Factors, square root, binary, Roman numeral | WordGPT