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The number 71702

71702 is a composite number with 4 divisors. Its prime factorisation is 2 × 35851. Divisors (4): 1, 2, 35851, 71702.

Number

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How to work it out

  1. 1

    What is special about 71702: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 35851, the product of two primes.

  2. 2

    71702 is composite. Its prime factorisation is

    71702=2×3585171702 = 2 \times 35851
  3. 3

    The divisors add up to 107556; without 71702 itself that is 35854, so 71702 is deficient (35854 is less than 71702). Euler's totient φ(71702) = 35850 numbers up to 71702 share no factor with it.

  4. 4

    The digits of 71702 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.

LaTeX source of the formulas on this page
\[ 71702 = 2 \times 35851 \]

71702 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors107556
Euler totient φ(n)35850
Square5141176804
Cube368632659200408
Square root267.772291
Digit sum / digital root17 / 8
Collatz steps to 150
Scientific notation7.1702 × 10410^{4}

71702 in other forms

FormValue
In wordsseventy-one thousand seven hundred and two
Binary (base 2)10001100000010110
Octal (base 8)214026
Hexadecimal (base 16)11816
Base 310122100122
As time71702 seconds = 19 h 55 min 2 s

Is 71702 divisible by 2 to 12?

DivisorAnswerRule
2Yes (71702 ÷ 2 = 35851)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 2)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 2)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 2)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 2)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 6)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 8)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 2)A number is divisible by 10 if the last digit is 0.
11No (remainder 4)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 2)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 71702 a prime number?

No. 71702 = 2 × 35851, so it is divisible by 2.

What are the factors of 71702?

1, 2, 35851, 71702.

What is 71702 in binary?

10001100000010110 (hexadecimal 11816, octal 214026).

What is the square root of 71702?

About 267.7723.

Is 71702 divisible by 3?

No. Its digits add up to 17, which is not a multiple of 3.

What is special about the number 71702?

71702 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 35851, the product of two primes.

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