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The number 49211

49211 is the 5060th prime number. Its only divisors are 1 and 49211.

Number

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How to work it out

  1. 1

    What is special about 49211: the 5060th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    49211 is prime, so its only factors are 1 and 49211. It is the 5060th prime; the next prime is 49223 and the one before is 49207.

  3. 3

    The divisors add up to 49212; without 49211 itself that is 1, so 49211 is deficient (1 is less than 49211). Euler's totient φ(49211) = 49210 numbers up to 49211 share no factor with it.

  4. 4

    The digits of 49211 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 233 steps to reach 1.

49211 at a glance

PropertyValue
Typeprime
Number of divisors2
Sum of divisors49212
Euler totient φ(n)49210
Square2421722521
Cube119175386980931
Square root221.835525
Digit sum / digital root17 / 8
Collatz steps to 1233
Scientific notation4.9211 × 10410^{4}

49211 in other forms

FormValue
In wordsforty-nine thousand two hundred and eleven
Binary (base 2)1100000000111011
Octal (base 8)140073
Hexadecimal (base 16)C03B
Base 32111111122
As time49211 seconds = 13 h 40 min 11 s

Is 49211 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 1)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.
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.
9No (remainder 8)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 8)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 49211 a prime number?

Yes. 49211 is divisible only by 1 and itself.

What are the factors of 49211?

1, 49211.

What is 49211 in binary?

1100000000111011 (hexadecimal C03B, octal 140073).

What is the square root of 49211?

About 221.8355.

Is 49211 divisible by 3?

No. Its digits add up to 17, which is not a multiple of 3.

What is special about the number 49211?

49211 is the 5060th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.

All about 49211

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