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The number 55317

55317 is a composite number with 4 divisors. Its prime factorisation is 3 × 18439. Divisors (4): 1, 3, 18439, 55317.

Number

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How to work it out

  1. 1

    What is special about 55317: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 18439, the product of two primes.

  2. 2

    55317 is composite. Its prime factorisation is

    55317=3×1843955317 = 3 \times 18439
  3. 3

    The divisors add up to 73760; without 55317 itself that is 18443, so 55317 is deficient (18443 is less than 55317). Euler's totient φ(55317) = 36876 numbers up to 55317 share no factor with it.

  4. 4

    The digits of 55317 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.

LaTeX source of the formulas on this page
\[ 55317 = 3 \times 18439 \]

55317 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors73760
Euler totient φ(n)36876
Square3059970489
Cube169268387540013
Square root235.195663
Digit sum / digital root21 / 3
Collatz steps to 147
Scientific notation5.5317 × 10410^{4}

55317 in other forms

FormValue
In wordsfifty-five thousand three hundred and seventeen
Binary (base 2)1101100000010101
Octal (base 8)154025
Hexadecimal (base 16)D815
Base 32210212210
As time55317 seconds = 15 h 21 min 57 s

Is 55317 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).
3Yes (55317 ÷ 3 = 18439)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 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 3)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 3)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 9)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 55317 a prime number?

No. 55317 = 3 × 18439, so it is divisible by 3.

What are the factors of 55317?

1, 3, 18439, 55317.

What is 55317 in binary?

1101100000010101 (hexadecimal D815, octal 154025).

What is the square root of 55317?

About 235.1957.

Is 55317 divisible by 3?

Yes. Its digits add up to 21, a multiple of 3.

What is special about the number 55317?

55317 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 18439, the product of two primes.

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    55317: is it prime? Factors, square root, binary, Roman numeral | WordGPT