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The number 81325

81325 is a composite number with 6 divisors. Its prime factorisation is 525^{2} Ɨ 3253. Divisors (6): 1, 5, 25, 3253, 16265, 81325.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    What is special about 81325: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    81325 is composite. Its prime factorisation is

    81325=52Ɨ325381325 = 5^{2} \times 3253
  3. 3

    The divisors add up to 100874; without 81325 itself that is 19549, so 81325 is deficient (19549 is less than 81325). Euler's totient φ(81325) = 65040 numbers up to 81325 share no factor with it.

  4. 4

    The digits of 81325 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 76 steps to reach 1.

LaTeX source of the formulas on this page
\[ 81325 = 5^{2} \times 3253 \]

81325 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors100874
Euler totient φ(n)65040
Square6613755625
Cube537863676203125
Square root285.175385 (= 5√3253)
Digit sum / digital root19 / 1
Collatz steps to 176
Scientific notation8.1325 Ɨ 10410^{4}

81325 in other forms

FormValue
In wordseighty-one thousand three hundred and twenty-five
Binary (base 2)10011110110101101
Octal (base 8)236655
Hexadecimal (base 16)13DAD
Base 311010120001
As time81325 seconds = 22 h 35 min 25 s

Is 81325 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 (81325 Ć· 5 = 16265)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 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 2)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 81325 a prime number?

No. 81325 = 525^{2} Ɨ 3253, so it is divisible by 5.

What are the factors of 81325?

1, 5, 25, 3253, 16265, 81325.

What is 81325 in binary?

10011110110101101 (hexadecimal 13DAD, octal 236655).

What is the square root of 81325?

About 285.1754, exactly 5√3253.

Is 81325 divisible by 3?

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

What is special about the number 81325?

81325 is a happy number: repeatedly adding the squares of its digits reaches 1.

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