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The number 55361

55361 is a composite number with 8 divisors. Its prime factorisation is 23 × 29 × 83. Divisors (8): 1, 23, 29, 83, 667, 1909, 2407, 55361.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    55361 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

    55361 is composite. Its prime factorisation is

    55361=23×29×8355361 = 23 \times 29 \times 83
  3. 3

    The divisors add up to 60480; without 55361 itself that is 5119, so 55361 is deficient (5119 is less than 55361). Euler's totient φ(55361) = 50512 numbers up to 55361 share no factor with it.

  4. 4

    The digits of 55361 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 228 steps to reach 1.

LaTeX source of the formulas on this page
\[ 55361 = 23 \times 29 \times 83 \]

55361 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors60480
Euler totient φ(n)50512
Square3064840321
Cube169672625010881
Square root235.289184
Digit sum / digital root20 / 2
Collatz steps to 1228
Scientific notation5.5361 × 10410^{4}

55361 in other forms

FormValue
In wordsfifty-five thousand three hundred and sixty-one
Binary (base 2)1101100001000001
Octal (base 8)154101
Hexadecimal (base 16)D841
Base 32210221102
As time55361 seconds = 15 h 22 min 41 s

Is 55361 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 1)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 5)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 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 9)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 55361 a prime number?

No. 55361 = 23 × 29 × 83, so it is divisible by 23.

What are the factors of 55361?

1, 23, 29, 83, 667, 1909, 2407, 55361.

What is 55361 in binary?

1101100001000001 (hexadecimal D841, octal 154101).

What is the square root of 55361?

About 235.2892.

Is 55361 divisible by 3?

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

What is special about the number 55361?

It is a composite number with 8 divisors.

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    55361: is it prime? Factors, square root, binary, Roman numeral | WordGPT