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The number 56187

56187 is a composite number with 8 divisors. Its prime factorisation is 333^{3} × 2081. Divisors (8): 1, 3, 9, 27, 2081, 6243, 18729, 56187.

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How to work it out

  1. 1

    What is special about 56187: a Harshad number: divisible by its digit sum 27.

  2. 2

    56187 is composite. Its prime factorisation is

    56187=33×208156187 = 3^{3} \times 2081
  3. 3

    The divisors add up to 83280; without 56187 itself that is 27093, so 56187 is deficient (27093 is less than 56187). Euler's totient φ(56187) = 37440 numbers up to 56187 share no factor with it.

  4. 4

    The digits of 56187 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 184 steps to reach 1.

LaTeX source of the formulas on this page
\[ 56187 = 3^{3} \times 2081 \]

56187 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors83280
Euler totient φ(n)37440
Square3156978969
Cube177381177331203
Square root237.037972 (= 3√6243)
Digit sum / digital root27 / 9
Collatz steps to 1184
Scientific notation5.6187 × 10410^{4}

56187 in other forms

FormValue
In wordsfifty-six thousand one hundred and eighty-seven
Binary (base 2)1101101101111011
Octal (base 8)155573
Hexadecimal (base 16)DB7B
Base 32212002000
As time56187 seconds = 15 h 36 min 27 s

Is 56187 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 (56187 ÷ 3 = 18729)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 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 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 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (56187 ÷ 9 = 6243)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 10)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 56187 a prime number?

No. 56187 = 333^{3} × 2081, so it is divisible by 3.

What are the factors of 56187?

1, 3, 9, 27, 2081, 6243, 18729, 56187.

What is 56187 in binary?

1101101101111011 (hexadecimal DB7B, octal 155573).

What is the square root of 56187?

About 237.0380, exactly 3√6243.

Is 56187 divisible by 3?

Yes. Its digits add up to 27, a multiple of 3.

What is special about the number 56187?

56187 is a Harshad number: divisible by its digit sum 27.

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