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The number 71695

71695 is a composite number with 8 divisors. Its prime factorisation is 5 × 13 × 1103. Divisors (8): 1, 5, 13, 65, 1103, 5515, 14339, 71695.

Number

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How to work it out

  1. 1

    What is special about 71695: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    71695 is composite. Its prime factorisation is

    71695=5×13×110371695 = 5 \times 13 \times 1103
  3. 3

    The divisors add up to 92736; without 71695 itself that is 21041, so 71695 is deficient (21041 is less than 71695). Euler's totient φ(71695) = 52896 numbers up to 71695 share no factor with it.

  4. 4

    The digits of 71695 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 94 steps to reach 1.

LaTeX source of the formulas on this page
\[ 71695 = 5 \times 13 \times 1103 \]

71695 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors92736
Euler totient φ(n)52896
Square5140173025
Cube368524705027375
Square root267.759220
Digit sum / digital root28 / 1
Collatz steps to 194
Scientific notation7.1695 × 10410^{4}

71695 in other forms

FormValue
In wordsseventy-one thousand six hundred and ninety-five
Binary (base 2)10001100000001111
Octal (base 8)214017
Hexadecimal (base 16)1180F
Base 310122100101
As time71695 seconds = 19 h 54 min 55 s

Is 71695 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 3)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (71695 ÷ 5 = 14339)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 7)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 8)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 71695 a prime number?

No. 71695 = 5 × 13 × 1103, so it is divisible by 5.

What are the factors of 71695?

1, 5, 13, 65, 1103, 5515, 14339, 71695.

What is 71695 in binary?

10001100000001111 (hexadecimal 1180F, octal 214017).

What is the square root of 71695?

About 267.7592.

Is 71695 divisible by 3?

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

What is special about the number 71695?

71695 is a happy number: repeatedly adding the squares of its digits reaches 1.

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