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The number 2173

2173 is a composite number with 4 divisors. Its prime factorisation is 41 × 53. Divisors (4): 1, 41, 53, 2173.

Number

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How to work it out

  1. 1

    What is special about 2173: a semiprime: 41 × 53, the product of two primes.

  2. 2

    2173 is composite. Its prime factorisation is

    2173=41×532173 = 41 \times 53
  3. 3

    The divisors add up to 2268; without 2173 itself that is 95, so 2173 is deficient (95 is less than 2173). Euler's totient φ(2173) = 2080 numbers up to 2173 share no factor with it.

  4. 4

    The digits of 2173 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.

LaTeX source of the formulas on this page
\[ 2173 = 41 \times 53 \]

2173 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors2268
Euler totient φ(n)2080
Square4721929
Cube10260751717
Square root46.615448
Digit sum / digital root13 / 4
Collatz steps to 1138
Scientific notation2.173 × 10310^{3}

2173 in other forms

FormValue
In wordstwo thousand one hundred and seventy-three
Roman numeralsMMCLXXIII
Binary (base 2)100001111101
Octal (base 8)4175
Hexadecimal (base 16)87D
Base 32222111
As time2173 seconds = 36 min 13 s

Is 2173 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.
5No (remainder 3)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 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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 4)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.
11No (remainder 6)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 2173 a prime number?

No. 2173 = 41 × 53, so it is divisible by 41.

What are the factors of 2173?

1, 41, 53, 2173.

What is 2173 in binary?

100001111101 (hexadecimal 87D, octal 4175).

What is the square root of 2173?

About 46.6154.

What is 2173 in Roman numerals?

MMCLXXIII.

Is 2173 divisible by 3?

No. Its digits add up to 13, which is not a multiple of 3.

What is special about the number 2173?

2173 is a semiprime: 41 × 53, the product of two primes.

All about 2173

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