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The number 50329

50329 is the 5165th prime number. Its only divisors are 1 and 50329.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    What is special about 50329: the 5165th prime number.

  2. 2

    50329 is prime, so its only factors are 1 and 50329. It is the 5165th prime; the next prime is 50333 and the one before is 50321.

  3. 3

    The divisors add up to 50330; without 50329 itself that is 1, so 50329 is deficient (1 is less than 50329). Euler's totient φ(50329) = 50328 numbers up to 50329 share no factor with it.

  4. 4

    The digits of 50329 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.

50329 at a glance

PropertyValue
Typeprime
Number of divisors2
Sum of divisors50330
Euler totient φ(n)50328
Square2533008241
Cube127483771761289
Square root224.341258
Digit sum / digital root19 / 1
Collatz steps to 139
Scientific notation5.0329 × 10410^{4}

50329 in other forms

FormValue
In wordsfifty thousand three hundred and twenty-nine
Binary (base 2)1100010010011001
Octal (base 8)142231
Hexadecimal (base 16)C499
Base 32120001001
As time50329 seconds = 13 h 58 min 49 s

Is 50329 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 6)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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 1)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 50329 a prime number?

Yes. 50329 is divisible only by 1 and itself.

What are the factors of 50329?

1, 50329.

What is 50329 in binary?

1100010010011001 (hexadecimal C499, octal 142231).

What is the square root of 50329?

About 224.3413.

Is 50329 divisible by 3?

No. Its digits add up to 19, which is not a multiple of 3.

What is special about the number 50329?

50329 is the 5165th prime number.

All about 50329

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    50329: is it prime? Factors, square root, binary, Roman numeral | WordGPT