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The number 55393

55393 is a composite number with 4 divisors. Its prime factorisation is 13 × 4261. Divisors (4): 1, 13, 4261, 55393.

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How to work it out

  1. 1

    What is special about 55393: a semiprime: 13 × 4261, the product of two primes.

  2. 2

    55393 is composite. Its prime factorisation is

    55393=13×426155393 = 13 \times 4261
  3. 3

    The divisors add up to 59668; without 55393 itself that is 4275, so 55393 is deficient (4275 is less than 55393). Euler's totient φ(55393) = 51120 numbers up to 55393 share no factor with it.

  4. 4

    The digits of 55393 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 60 steps to reach 1.

LaTeX source of the formulas on this page
\[ 55393 = 13 \times 4261 \]

55393 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors59668
Euler totient φ(n)51120
Square3068384449
Cube169967019783457
Square root235.357175
Digit sum / digital root25 / 7
Collatz steps to 160
Scientific notation5.5393 × 10410^{4}

55393 in other forms

FormValue
In wordsfifty-five thousand three hundred and ninety-three
Binary (base 2)1101100001100001
Octal (base 8)154141
Hexadecimal (base 16)D861
Base 32210222121
As time55393 seconds = 15 h 23 min 13 s

Is 55393 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 3)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 1)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 3)A number is divisible by 10 if the last digit is 0.
11No (remainder 8)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 55393 a prime number?

No. 55393 = 13 × 4261, so it is divisible by 13.

What are the factors of 55393?

1, 13, 4261, 55393.

What is 55393 in binary?

1101100001100001 (hexadecimal D861, octal 154141).

What is the square root of 55393?

About 235.3572.

Is 55393 divisible by 3?

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

What is special about the number 55393?

55393 is a semiprime: 13 × 4261, the product of two primes.

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    55393: is it prime? Factors, square root, binary, Roman numeral | WordGPT