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The number 16771

16771 is a composite number with 4 divisors. Its prime factorisation is 31 × 541. Divisors (4): 1, 31, 541, 16771.

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How to work it out

  1. 1

    What is special about 16771: a semiprime: 31 × 541, the product of two primes.

  2. 2

    16771 is composite. Its prime factorisation is

    16771=31×54116771 = 31 \times 541
  3. 3

    The divisors add up to 17344; without 16771 itself that is 573, so 16771 is deficient (573 is less than 16771). Euler's totient φ(16771) = 16200 numbers up to 16771 share no factor with it.

  4. 4

    The digits of 16771 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 66 steps to reach 1.

LaTeX source of the formulas on this page
\[ 16771 = 31 \times 541 \]

16771 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors17344
Euler totient φ(n)16200
Square281266441
Cube4717119482011
Square root129.502896
Digit sum / digital root22 / 4
Collatz steps to 166
Scientific notation1.6771 × 10410^{4}

16771 in other forms

FormValue
In wordssixteen thousand seven hundred and seventy-one
Binary (base 2)100000110000011
Octal (base 8)40603
Hexadecimal (base 16)4183
Base 3212000011
As time16771 seconds = 4 h 39 min 31 s

Is 16771 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 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 6)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 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 7)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 16771 a prime number?

No. 16771 = 31 × 541, so it is divisible by 31.

What are the factors of 16771?

1, 31, 541, 16771.

What is 16771 in binary?

100000110000011 (hexadecimal 4183, octal 40603).

What is the square root of 16771?

About 129.5029.

Is 16771 divisible by 3?

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

What is special about the number 16771?

16771 is a semiprime: 31 × 541, the product of two primes.

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