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The number 56987

56987 is a composite number with 6 divisors. Its prime factorisation is 727^{2} Ɨ 1163. Divisors (6): 1, 7, 49, 1163, 8141, 56987.

Number

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How to work it out

  1. 1

    56987 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    56987 is composite. Its prime factorisation is

    56987=72Ɨ116356987 = 7^{2} \times 1163
  3. 3

    The divisors add up to 66348; without 56987 itself that is 9361, so 56987 is deficient (9361 is less than 56987). Euler's totient φ(56987) = 48804 numbers up to 56987 share no factor with it.

  4. 4

    The digits of 56987 add up to 35, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 184 steps to reach 1.

LaTeX source of the formulas on this page
\[ 56987 = 7^{2} \times 1163 \]

56987 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors66348
Euler totient φ(n)48804
Square3247518169
Cube185066317896803
Square root238.719501 (= 7√1163)
Digit sum / digital root35 / 8
Collatz steps to 1184
Scientific notation5.6987 Ɨ 10410^{4}

56987 in other forms

FormValue
In wordsfifty-six thousand nine hundred and eighty-seven
Binary (base 2)1101111010011011
Octal (base 8)157233
Hexadecimal (base 16)DE9B
Base 32220011122
As time56987 seconds = 15 h 49 min 47 s

Is 56987 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 2)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.
7Yes (56987 Ć· 7 = 8141)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 8)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 7)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 56987 a prime number?

No. 56987 = 727^{2} Ɨ 1163, so it is divisible by 7.

What are the factors of 56987?

1, 7, 49, 1163, 8141, 56987.

What is 56987 in binary?

1101111010011011 (hexadecimal DE9B, octal 157233).

What is the square root of 56987?

About 238.7195, exactly 7√1163.

Is 56987 divisible by 3?

No. Its digits add up to 35, which is not a multiple of 3.

What is special about the number 56987?

It is a composite number with 6 divisors.

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    56987: is it prime? Factors, square root, binary, Roman numeral | WordGPT