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The number 3809

3809 is a composite number with 4 divisors. Its prime factorisation is 13 × 293. Divisors (4): 1, 13, 293, 3809.

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How to work it out

  1. 1

    What is special about 3809: a semiprime: 13 × 293, the product of two primes.

  2. 2

    3809 is composite. Its prime factorisation is

    3809=13×2933809 = 13 \times 293
  3. 3

    The divisors add up to 4116; without 3809 itself that is 307, so 3809 is deficient (307 is less than 3809). Euler's totient φ(3809) = 3504 numbers up to 3809 share no factor with it.

  4. 4

    The digits of 3809 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 175 steps to reach 1.

LaTeX source of the formulas on this page
\[ 3809 = 13 \times 293 \]

3809 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors4116
Euler totient φ(n)3504
Square14508481
Cube55262804129
Square root61.717096
Digit sum / digital root20 / 2
Collatz steps to 1175
Scientific notation3.809 × 10310^{3}

3809 in other forms

FormValue
In wordsthree thousand eight hundred and nine
Roman numeralsMMMDCCCIX
Binary (base 2)111011100001
Octal (base 8)7341
Hexadecimal (base 16)EE1
Base 312020002
As time3809 seconds = 1 h 3 min 29 s

Is 3809 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 2)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 4)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 5)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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 2)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 9)A number is divisible by 10 if the last digit is 0.
11No (remainder 3)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 3809 a prime number?

No. 3809 = 13 × 293, so it is divisible by 13.

What are the factors of 3809?

1, 13, 293, 3809.

What is 3809 in binary?

111011100001 (hexadecimal EE1, octal 7341).

What is the square root of 3809?

About 61.7171.

What is 3809 in Roman numerals?

MMMDCCCIX.

Is 3809 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 3809?

3809 is a semiprime: 13 × 293, the product of two primes.

All about 3809

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    3809: is it prime? Factors, square root, binary, Roman numeral | WordGPT