WordGPT

The number 7073

7073 is a composite number with 4 divisors. Its prime factorisation is 11 × 643. Divisors (4): 1, 11, 643, 7073.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    What is special about 7073: a semiprime: 11 × 643, the product of two primes.

  2. 2

    7073 is composite. Its prime factorisation is

    7073=11×6437073 = 11 \times 643
  3. 3

    The divisors add up to 7728; without 7073 itself that is 655, so 7073 is deficient (655 is less than 7073). Euler's totient φ(7073) = 6420 numbers up to 7073 share no factor with it.

  4. 4

    The digits of 7073 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 101 steps to reach 1.

LaTeX source of the formulas on this page
\[ 7073 = 11 \times 643 \]

7073 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors7728
Euler totient φ(n)6420
Square50027329
Cube353843298017
Square root84.101130
Digit sum / digital root17 / 8
Collatz steps to 1101
Scientific notation7.073 × 10310^{3}

7073 in other forms

FormValue
In wordsseven thousand and seventy-three
Binary (base 2)1101110100001
Octal (base 8)15641
Hexadecimal (base 16)1BA1
Base 3100200222
As time7073 seconds = 1 h 57 min 53 s

Is 7073 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 2)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.
5No (remainder 3)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 5)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 1)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 3)A number is divisible by 10 if the last digit is 0.
11Yes (7073 ÷ 11 = 643)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 7073 a prime number?

No. 7073 = 11 × 643, so it is divisible by 11.

What are the factors of 7073?

1, 11, 643, 7073.

What is 7073 in binary?

1101110100001 (hexadecimal 1BA1, octal 15641).

What is the square root of 7073?

About 84.1011.

Is 7073 divisible by 3?

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

What is special about the number 7073?

7073 is a semiprime: 11 × 643, the product of two primes.

All about 7073

Find the next one

Nearby numbers

    7073: is it prime? Factors, square root, binary, Roman numeral | WordGPT