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The number 71733

71733 is a composite number with 4 divisors. Its prime factorisation is 3 × 23911. Divisors (4): 1, 3, 23911, 71733.

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How to work it out

  1. 1

    What is special about 71733: a semiprime: 3 × 23911, the product of two primes.

  2. 2

    71733 is composite. Its prime factorisation is

    71733=3×2391171733 = 3 \times 23911
  3. 3

    The divisors add up to 95648; without 71733 itself that is 23915, so 71733 is deficient (23915 is less than 71733). Euler's totient φ(71733) = 47820 numbers up to 71733 share no factor with it.

  4. 4

    The digits of 71733 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.

LaTeX source of the formulas on this page
\[ 71733 = 3 \times 23911 \]

71733 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors95648
Euler totient φ(n)47820
Square5145623289
Cube369110995389837
Square root267.830170
Digit sum / digital root21 / 3
Collatz steps to 150
Scientific notation7.1733 × 10410^{4}

71733 in other forms

FormValue
In wordsseventy-one thousand seven hundred and thirty-three
Binary (base 2)10001100000110101
Octal (base 8)214065
Hexadecimal (base 16)11835
Base 310122101210
As time71733 seconds = 19 h 55 min 33 s

Is 71733 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 (71733 ÷ 3 = 23911)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 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 4)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 3)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 2)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 71733 a prime number?

No. 71733 = 3 × 23911, so it is divisible by 3.

What are the factors of 71733?

1, 3, 23911, 71733.

What is 71733 in binary?

10001100000110101 (hexadecimal 11835, octal 214065).

What is the square root of 71733?

About 267.8302.

Is 71733 divisible by 3?

Yes. Its digits add up to 21, a multiple of 3.

What is special about the number 71733?

71733 is a semiprime: 3 × 23911, the product of two primes.

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