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The number 73741

73741 is a composite number with 4 divisors. Its prime factorisation is 37 × 1993. Divisors (4): 1, 37, 1993, 73741.

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How to work it out

  1. 1

    What is special about 73741: a semiprime: 37 × 1993, the product of two primes.

  2. 2

    73741 is composite. Its prime factorisation is

    73741=37×199373741 = 37 \times 1993
  3. 3

    The divisors add up to 75772; without 73741 itself that is 2031, so 73741 is deficient (2031 is less than 73741). Euler's totient φ(73741) = 71712 numbers up to 73741 share no factor with it.

  4. 4

    The digits of 73741 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.

LaTeX source of the formulas on this page
\[ 73741 = 37 \times 1993 \]

73741 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors75772
Euler totient φ(n)71712
Square5437735081
Cube400984022608021
Square root271.552941
Digit sum / digital root22 / 4
Collatz steps to 150
Scientific notation7.3741 × 10410^{4}

73741 in other forms

FormValue
In wordsseventy-three thousand seven hundred and forty-one
Binary (base 2)10010000000001101
Octal (base 8)220015
Hexadecimal (base 16)1200D
Base 310202011011
As time73741 seconds = 20 h 29 min 1 s

Is 73741 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 1)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 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 8)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 73741 a prime number?

No. 73741 = 37 × 1993, so it is divisible by 37.

What are the factors of 73741?

1, 37, 1993, 73741.

What is 73741 in binary?

10010000000001101 (hexadecimal 1200D, octal 220015).

What is the square root of 73741?

About 271.5529.

Is 73741 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 73741?

73741 is a semiprime: 37 × 1993, the product of two primes.

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