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The number 48987

48987 is a composite number with 6 divisors. Its prime factorisation is 323^{2} × 5443. Divisors (6): 1, 3, 9, 5443, 16329, 48987.

Number

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How to work it out

  1. 1

    48987 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

    48987 is composite. Its prime factorisation is

    48987=32×544348987 = 3^{2} \times 5443
  3. 3

    The divisors add up to 70772; without 48987 itself that is 21785, so 48987 is deficient (21785 is less than 48987). Euler's totient φ(48987) = 32652 numbers up to 48987 share no factor with it.

  4. 4

    The digits of 48987 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.

LaTeX source of the formulas on this page
\[ 48987 = 3^{2} \times 5443 \]

48987 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors70772
Euler totient φ(n)32652
Square2399726169
Cube117555385840803
Square root221.330070 (= 3√5443)
Digit sum / digital root36 / 9
Collatz steps to 1127
Scientific notation4.8987 × 10410^{4}

48987 in other forms

FormValue
In wordsforty-eight thousand nine hundred and eighty-seven
Binary (base 2)1011111101011011
Octal (base 8)137533
Hexadecimal (base 16)BF5B
Base 32111012100
As time48987 seconds = 13 h 36 min 27 s

Is 48987 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 (48987 ÷ 3 = 16329)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 1)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 (48987 ÷ 9 = 5443)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 4)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 48987 a prime number?

No. 48987 = 323^{2} × 5443, so it is divisible by 3.

What are the factors of 48987?

1, 3, 9, 5443, 16329, 48987.

What is 48987 in binary?

1011111101011011 (hexadecimal BF5B, octal 137533).

What is the square root of 48987?

About 221.3301, exactly 3√5443.

Is 48987 divisible by 3?

Yes. Its digits add up to 36, a multiple of 3.

What is special about the number 48987?

It is a composite number with 6 divisors.

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    48987: is it prime? Factors, square root, binary, Roman numeral | WordGPT