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The number 5809

5809 is a composite number with 4 divisors. Its prime factorisation is 37 × 157. Divisors (4): 1, 37, 157, 5809.

Number

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How to work it out

  1. 1

    What is special about 5809: a semiprime: 37 × 157, the product of two primes.

  2. 2

    5809 is composite. Its prime factorisation is

    5809=37×1575809 = 37 \times 157
  3. 3

    The divisors add up to 6004; without 5809 itself that is 195, so 5809 is deficient (195 is less than 5809). Euler's totient φ(5809) = 5616 numbers up to 5809 share no factor with it.

  4. 4

    The digits of 5809 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 49 steps to reach 1.

LaTeX source of the formulas on this page
\[ 5809 = 37 \times 157 \]

5809 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors6004
Euler totient φ(n)5616
Square33744481
Cube196021690129
Square root76.216796
Digit sum / digital root22 / 4
Collatz steps to 149
Scientific notation5.809 × 10310^{3}

5809 in other forms

FormValue
In wordsfive thousand eight hundred and nine
Binary (base 2)1011010110001
Octal (base 8)13261
Hexadecimal (base 16)16B1
Base 321222011
As time5809 seconds = 1 h 36 min 49 s

Is 5809 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 4)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 1)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 9)A number is divisible by 10 if the last digit is 0.
11No (remainder 1)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 5809 a prime number?

No. 5809 = 37 × 157, so it is divisible by 37.

What are the factors of 5809?

1, 37, 157, 5809.

What is 5809 in binary?

1011010110001 (hexadecimal 16B1, octal 13261).

What is the square root of 5809?

About 76.2168.

Is 5809 divisible by 3?

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

What is special about the number 5809?

5809 is a semiprime: 37 × 157, the product of two primes.

All about 5809

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