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The number 49697

49697 is the 5104th prime number. Its only divisors are 1 and 49697.

Number

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How to work it out

  1. 1

    What is special about 49697: the 5104th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    49697 is prime, so its only factors are 1 and 49697. It is the 5104th prime; the next prime is 49711 and the one before is 49681.

  3. 3

    The divisors add up to 49698; without 49697 itself that is 1, so 49697 is deficient (1 is less than 49697). Euler's totient φ(49697) = 49696 numbers up to 49697 share no factor with it.

  4. 4

    The digits of 49697 add up to 35, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.

49697 at a glance

PropertyValue
Typeprime
Number of divisors2
Sum of divisors49698
Euler totient φ(n)49696
Square2469791809
Cube122741243531873
Square root222.928240
Digit sum / digital root35 / 8
Collatz steps to 196
Scientific notation4.9697 × 10410^{4}

49697 in other forms

FormValue
In wordsforty-nine thousand six hundred and ninety-seven
Binary (base 2)1100001000100001
Octal (base 8)141041
Hexadecimal (base 16)C221
Base 32112011122
As time49697 seconds = 13 h 48 min 17 s

Is 49697 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 1)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 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 4)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 8)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 10)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 49697 a prime number?

Yes. 49697 is divisible only by 1 and itself.

What are the factors of 49697?

1, 49697.

What is 49697 in binary?

1100001000100001 (hexadecimal C221, octal 141041).

What is the square root of 49697?

About 222.9282.

Is 49697 divisible by 3?

No. Its digits add up to 35, which is not a multiple of 3.

What is special about the number 49697?

49697 is the 5104th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.

All about 49697

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    49697: is it prime? Factors, square root, binary, Roman numeral | WordGPT