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The number 16795

16795 is a composite number with 4 divisors. Its prime factorisation is 5 × 3359. Divisors (4): 1, 5, 3359, 16795.

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How to work it out

  1. 1

    What is special about 16795: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 5 × 3359, the product of two primes.

  2. 2

    16795 is composite. Its prime factorisation is

    16795=5×335916795 = 5 \times 3359
  3. 3

    The divisors add up to 20160; without 16795 itself that is 3365, so 16795 is deficient (3365 is less than 16795). Euler's totient φ(16795) = 13432 numbers up to 16795 share no factor with it.

  4. 4

    The digits of 16795 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.

LaTeX source of the formulas on this page
\[ 16795 = 5 \times 3359 \]

16795 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors20160
Euler totient φ(n)13432
Square282072025
Cube4737399659875
Square root129.595525
Digit sum / digital root28 / 1
Collatz steps to 1159
Scientific notation1.6795 × 10410^{4}

16795 in other forms

FormValue
In wordssixteen thousand seven hundred and ninety-five
Binary (base 2)100000110011011
Octal (base 8)40633
Hexadecimal (base 16)419B
Base 3212001001
As time16795 seconds = 4 h 39 min 55 s

Is 16795 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.
5Yes (16795 ÷ 5 = 3359)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 2)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 1)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 5)A number is divisible by 10 if the last digit is 0.
11No (remainder 9)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 16795 a prime number?

No. 16795 = 5 × 3359, so it is divisible by 5.

What are the factors of 16795?

1, 5, 3359, 16795.

What is 16795 in binary?

100000110011011 (hexadecimal 419B, octal 40633).

What is the square root of 16795?

About 129.5955.

Is 16795 divisible by 3?

No. Its digits add up to 28, which is not a multiple of 3.

What is special about the number 16795?

16795 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 5 × 3359, the product of two primes.

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