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The number 52087

52087 is a composite number with 6 divisors. Its prime factorisation is 727^{2} Ɨ 1063. Divisors (6): 1, 7, 49, 1063, 7441, 52087.

Number

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How to work it out

  1. 1

    52087 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

    52087 is composite. Its prime factorisation is

    52087=72Ɨ106352087 = 7^{2} \times 1063
  3. 3

    The divisors add up to 60648; without 52087 itself that is 8561, so 52087 is deficient (8561 is less than 52087). Euler's totient φ(52087) = 44604 numbers up to 52087 share no factor with it.

  4. 4

    The digits of 52087 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.

LaTeX source of the formulas on this page
\[ 52087 = 7^{2} \times 1063 \]

52087 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors60648
Euler totient φ(n)44604
Square2713055569
Cube141314925422503
Square root228.225765 (= 7√1063)
Digit sum / digital root22 / 4
Collatz steps to 1109
Scientific notation5.2087 Ɨ 10410^{4}

52087 in other forms

FormValue
In wordsfifty-two thousand and eighty-seven
Binary (base 2)1100101101110111
Octal (base 8)145567
Hexadecimal (base 16)CB77
Base 32122110011
As time52087 seconds = 14 h 28 min 7 s

Is 52087 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 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 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (52087 Ć· 7 = 7441)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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 4)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 2)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 52087 a prime number?

No. 52087 = 727^{2} Ɨ 1063, so it is divisible by 7.

What are the factors of 52087?

1, 7, 49, 1063, 7441, 52087.

What is 52087 in binary?

1100101101110111 (hexadecimal CB77, octal 145567).

What is the square root of 52087?

About 228.2258, exactly 7√1063.

Is 52087 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 52087?

It is a composite number with 6 divisors.

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