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The number 55357

55357 is a composite number with 4 divisors. Its prime factorisation is 197 × 281. Divisors (4): 1, 197, 281, 55357.

Number

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How to work it out

  1. 1

    What is special about 55357: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 197 × 281, the product of two primes.

  2. 2

    55357 is composite. Its prime factorisation is

    55357=197×28155357 = 197 \times 281
  3. 3

    The divisors add up to 55836; without 55357 itself that is 479, so 55357 is deficient (479 is less than 55357). Euler's totient φ(55357) = 54880 numbers up to 55357 share no factor with it.

  4. 4

    The digits of 55357 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 228 steps to reach 1.

LaTeX source of the formulas on this page
\[ 55357 = 197 \times 281 \]

55357 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors55836
Euler totient φ(n)54880
Square3064397449
Cube169635849584293
Square root235.280683
Digit sum / digital root25 / 7
Collatz steps to 1228
Scientific notation5.5357 × 10410^{4}

55357 in other forms

FormValue
In wordsfifty-five thousand three hundred and fifty-seven
Binary (base 2)1101100000111101
Octal (base 8)154075
Hexadecimal (base 16)D83D
Base 32210221021
As time55357 seconds = 15 h 22 min 37 s

Is 55357 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 2)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 1)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 7)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 7)A number is divisible by 10 if the last digit is 0.
11No (remainder 5)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 55357 a prime number?

No. 55357 = 197 × 281, so it is divisible by 197.

What are the factors of 55357?

1, 197, 281, 55357.

What is 55357 in binary?

1101100000111101 (hexadecimal D83D, octal 154075).

What is the square root of 55357?

About 235.2807.

Is 55357 divisible by 3?

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

What is special about the number 55357?

55357 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 197 × 281, the product of two primes.

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    55357: is it prime? Factors, square root, binary, Roman numeral | WordGPT