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The number 55883

55883 is a composite number with 8 divisors. Its prime factorisation is 29 × 41 × 47. Divisors (8): 1, 29, 41, 47, 1189, 1363, 1927, 55883.

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How to work it out

  1. 1

    What is special about 55883: a Harshad number: divisible by its digit sum 29.

  2. 2

    55883 is composite. Its prime factorisation is

    55883=29×41×4755883 = 29 \times 41 \times 47
  3. 3

    The divisors add up to 60480; without 55883 itself that is 4597, so 55883 is deficient (4597 is less than 55883). Euler's totient φ(55883) = 51520 numbers up to 55883 share no factor with it.

  4. 4

    The digits of 55883 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.

LaTeX source of the formulas on this page
\[ 55883 = 29 \times 41 \times 47 \]

55883 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors60480
Euler totient φ(n)51520
Square3122909689
Cube174517562150387
Square root236.395854
Digit sum / digital root29 / 2
Collatz steps to 1109
Scientific notation5.5883 × 10410^{4}

55883 in other forms

FormValue
In wordsfifty-five thousand eight hundred and eighty-three
Binary (base 2)1101101001001011
Octal (base 8)155113
Hexadecimal (base 16)DA4B
Base 32211122202
As time55883 seconds = 15 h 31 min 23 s

Is 55883 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 3)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 5)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 3)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 3)A number is divisible by 10 if the last digit is 0.
11No (remainder 3)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 55883 a prime number?

No. 55883 = 29 × 41 × 47, so it is divisible by 29.

What are the factors of 55883?

1, 29, 41, 47, 1189, 1363, 1927, 55883.

What is 55883 in binary?

1101101001001011 (hexadecimal DA4B, octal 155113).

What is the square root of 55883?

About 236.3959.

Is 55883 divisible by 3?

No. Its digits add up to 29, which is not a multiple of 3.

What is special about the number 55883?

55883 is a Harshad number: divisible by its digit sum 29.

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    55883: is it prime? Factors, square root, binary, Roman numeral | WordGPT