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The number 50989

50989 is the 5221st prime number. Its only divisors are 1 and 50989.

Number

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How to work it out

  1. 1

    What is special about 50989: the 5221st prime number.

  2. 2

    50989 is prime, so its only factors are 1 and 50989. It is the 5221st prime; the next prime is 50993 and the one before is 50971.

  3. 3

    The divisors add up to 50990; without 50989 itself that is 1, so 50989 is deficient (1 is less than 50989). Euler's totient φ(50989) = 50988 numbers up to 50989 share no factor with it.

  4. 4

    The digits of 50989 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.

50989 at a glance

PropertyValue
Typeprime
Number of divisors2
Sum of divisors50990
Euler totient φ(n)50988
Square2599878121
Cube132565185511669
Square root225.807440
Digit sum / digital root31 / 4
Collatz steps to 183
Scientific notation5.0989 × 10410^{4}

50989 in other forms

FormValue
In wordsfifty thousand nine hundred and eighty-nine
Binary (base 2)1100011100101101
Octal (base 8)143455
Hexadecimal (base 16)C72D
Base 32120221111
As time50989 seconds = 14 h 9 min 49 s

Is 50989 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 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 4)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.
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 5)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 9)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 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 50989 a prime number?

Yes. 50989 is divisible only by 1 and itself.

What are the factors of 50989?

1, 50989.

What is 50989 in binary?

1100011100101101 (hexadecimal C72D, octal 143455).

What is the square root of 50989?

About 225.8074.

Is 50989 divisible by 3?

No. Its digits add up to 31, which is not a multiple of 3.

What is special about the number 50989?

50989 is the 5221st prime number.

All about 50989

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    50989: is it prime? Factors, square root, binary, Roman numeral | WordGPT