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The number 7071

7071 is a composite number with 4 divisors. Its prime factorisation is 3 × 2357. Divisors (4): 1, 3, 2357, 7071.

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How to work it out

  1. 1

    What is special about 7071: a semiprime: 3 × 2357, the product of two primes.

  2. 2

    7071 is composite. Its prime factorisation is

    7071=3×23577071 = 3 \times 2357
  3. 3

    The divisors add up to 9432; without 7071 itself that is 2361, so 7071 is deficient (2361 is less than 7071). Euler's totient φ(7071) = 4712 numbers up to 7071 share no factor with it.

  4. 4

    The digits of 7071 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.

LaTeX source of the formulas on this page
\[ 7071 = 3 \times 2357 \]

7071 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors9432
Euler totient φ(n)4712
Square49999041
Cube353543218911
Square root84.089238
Digit sum / digital root15 / 6
Collatz steps to 157
Scientific notation7.071 × 10310^{3}

7071 in other forms

FormValue
In wordsseven thousand and seventy-one
Binary (base 2)1101110011111
Octal (base 8)15637
Hexadecimal (base 16)1B9F
Base 3100200220
As time7071 seconds = 1 h 57 min 51 s

Is 7071 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).
3Yes (7071 ÷ 3 = 2357)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.
5No (remainder 1)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 3)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 6)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 9)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 7071 a prime number?

No. 7071 = 3 × 2357, so it is divisible by 3.

What are the factors of 7071?

1, 3, 2357, 7071.

What is 7071 in binary?

1101110011111 (hexadecimal 1B9F, octal 15637).

What is the square root of 7071?

About 84.0892.

Is 7071 divisible by 3?

Yes. Its digits add up to 15, a multiple of 3.

What is special about the number 7071?

7071 is a semiprime: 3 × 2357, the product of two primes.

All about 7071

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