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The number 53809

53809 is a composite number with 4 divisors. Its prime factorisation is 7 × 7687. Divisors (4): 1, 7, 7687, 53809.

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How to work it out

  1. 1

    What is special about 53809: a semiprime: 7 × 7687, the product of two primes.

  2. 2

    53809 is composite. Its prime factorisation is

    53809=7×768753809 = 7 \times 7687
  3. 3

    The divisors add up to 61504; without 53809 itself that is 7695, so 53809 is deficient (7695 is less than 53809). Euler's totient φ(53809) = 46116 numbers up to 53809 share no factor with it.

  4. 4

    The digits of 53809 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.

LaTeX source of the formulas on this page
\[ 53809 = 7 \times 7687 \]

53809 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors61504
Euler totient φ(n)46116
Square2895408481
Cube155799034954129
Square root231.967670
Digit sum / digital root25 / 7
Collatz steps to 1140
Scientific notation5.3809 × 10410^{4}

53809 in other forms

FormValue
In wordsfifty-three thousand eight hundred and nine
Binary (base 2)1101001000110001
Octal (base 8)151061
Hexadecimal (base 16)D231
Base 32201210221
As time53809 seconds = 14 h 56 min 49 s

Is 53809 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.
7Yes (53809 ÷ 7 = 7687)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 7)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 8)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 53809 a prime number?

No. 53809 = 7 × 7687, so it is divisible by 7.

What are the factors of 53809?

1, 7, 7687, 53809.

What is 53809 in binary?

1101001000110001 (hexadecimal D231, octal 151061).

What is the square root of 53809?

About 231.9677.

Is 53809 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 53809?

53809 is a semiprime: 7 × 7687, the product of two primes.

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