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The number 55909

55909 is a composite number with 8 divisors. Its prime factorisation is 737^{3} Ɨ 163. Divisors (8): 1, 7, 49, 163, 343, 1141, 7987, 55909.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    55909 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    55909 is composite. Its prime factorisation is

    55909=73Ɨ16355909 = 7^{3} \times 163
  3. 3

    The divisors add up to 65600; without 55909 itself that is 9691, so 55909 is deficient (9691 is less than 55909). Euler's totient φ(55909) = 47628 numbers up to 55909 share no factor with it.

  4. 4

    The digits of 55909 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 91 steps to reach 1.

LaTeX source of the formulas on this page
\[ 55909 = 7^{3} \times 163 \]

55909 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors65600
Euler totient φ(n)47628
Square3125816281
Cube174761262454429
Square root236.450841 (= 7√1141)
Digit sum / digital root28 / 1
Collatz steps to 191
Scientific notation5.5909 Ɨ 10410^{4}

55909 in other forms

FormValue
In wordsfifty-five thousand nine hundred and nine
Binary (base 2)1101101001100101
Octal (base 8)155145
Hexadecimal (base 16)DA65
Base 32211200201
As time55909 seconds = 15 h 31 min 49 s

Is 55909 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 (55909 Ć· 7 = 7987)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 5)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 9)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 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 55909 a prime number?

No. 55909 = 737^{3} Ɨ 163, so it is divisible by 7.

What are the factors of 55909?

1, 7, 49, 163, 343, 1141, 7987, 55909.

What is 55909 in binary?

1101101001100101 (hexadecimal DA65, octal 155145).

What is the square root of 55909?

About 236.4508, exactly 7√1141.

Is 55909 divisible by 3?

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

What is special about the number 55909?

It is a composite number with 8 divisors.

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    55909: is it prime? Factors, square root, binary, Roman numeral | WordGPT