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The number 55309

55309 is a composite number with 8 divisors. Its prime factorisation is 19 × 41 × 71. Divisors (8): 1, 19, 41, 71, 779, 1349, 2911, 55309.

Number

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How to work it out

  1. 1

    55309 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

    55309 is composite. Its prime factorisation is

    55309=19×41×7155309 = 19 \times 41 \times 71
  3. 3

    The divisors add up to 60480; without 55309 itself that is 5171, so 55309 is deficient (5171 is less than 55309). Euler's totient φ(55309) = 50400 numbers up to 55309 share no factor with it.

  4. 4

    The digits of 55309 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 47 steps to reach 1.

LaTeX source of the formulas on this page
\[ 55309 = 19 \times 41 \times 71 \]

55309 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors60480
Euler totient φ(n)50400
Square3059085481
Cube169194958868629
Square root235.178655
Digit sum / digital root22 / 4
Collatz steps to 147
Scientific notation5.5309 × 10410^{4}

55309 in other forms

FormValue
In wordsfifty-five thousand three hundred and nine
Binary (base 2)1101100000001101
Octal (base 8)154015
Hexadecimal (base 16)D80D
Base 32210212111
As time55309 seconds = 15 h 21 min 49 s

Is 55309 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 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 5)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 55309 a prime number?

No. 55309 = 19 × 41 × 71, so it is divisible by 19.

What are the factors of 55309?

1, 19, 41, 71, 779, 1349, 2911, 55309.

What is 55309 in binary?

1101100000001101 (hexadecimal D80D, octal 154015).

What is the square root of 55309?

About 235.1787.

Is 55309 divisible by 3?

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

What is special about the number 55309?

It is a composite number with 8 divisors.

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    55309: is it prime? Factors, square root, binary, Roman numeral | WordGPT