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The number 73123

73123 is a composite number with 4 divisors. Its prime factorisation is 83 × 881. Divisors (4): 1, 83, 881, 73123.

Number

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How to work it out

  1. 1

    What is special about 73123: a semiprime: 83 × 881, the product of two primes.

  2. 2

    73123 is composite. Its prime factorisation is

    73123=83×88173123 = 83 \times 881
  3. 3

    The divisors add up to 74088; without 73123 itself that is 965, so 73123 is deficient (965 is less than 73123). Euler's totient φ(73123) = 72160 numbers up to 73123 share no factor with it.

  4. 4

    The digits of 73123 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.

LaTeX source of the formulas on this page
\[ 73123 = 83 \times 881 \]

73123 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors74088
Euler totient φ(n)72160
Square5346973129
Cube390986716111867
Square root270.412648
Digit sum / digital root16 / 7
Collatz steps to 194
Scientific notation7.3123 × 10410^{4}

73123 in other forms

FormValue
In wordsseventy-three thousand one hundred and twenty-three
Binary (base 2)10001110110100011
Octal (base 8)216643
Hexadecimal (base 16)11DA3
Base 310201022021
As time73123 seconds = 20 h 18 min 43 s

Is 73123 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.
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 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 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)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 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 73123 a prime number?

No. 73123 = 83 × 881, so it is divisible by 83.

What are the factors of 73123?

1, 83, 881, 73123.

What is 73123 in binary?

10001110110100011 (hexadecimal 11DA3, octal 216643).

What is the square root of 73123?

About 270.4126.

Is 73123 divisible by 3?

No. Its digits add up to 16, which is not a multiple of 3.

What is special about the number 73123?

73123 is a semiprime: 83 × 881, the product of two primes.

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