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The number 63421

63421 is a twin prime (63419 and 63421 are both prime) and the 6357th prime number. Its only divisors are 1 and 63421.

Number

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How to work it out

  1. 1

    What is special about 63421: a twin prime (63419 and 63421 are both prime); the 6357th prime number.

  2. 2

    63421 is prime, so its only factors are 1 and 63421. It is the 6357th prime; the next prime is 63439 and the one before is 63419.

  3. 3

    The divisors add up to 63422; without 63421 itself that is 1, so 63421 is deficient (1 is less than 63421). Euler's totient φ(63421) = 63420 numbers up to 63421 share no factor with it.

  4. 4

    The digits of 63421 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 223 steps to reach 1.

63421 at a glance

PropertyValue
Typeprime
Number of divisors2
Sum of divisors63422
Euler totient φ(n)63420
Square4022223241
Cube255093420167461
Square root251.835264
Digit sum / digital root16 / 7
Collatz steps to 1223
Scientific notation6.3421 × 10410^{4}

63421 in other forms

FormValue
In wordssixty-three thousand four hundred and twenty-one
Binary (base 2)1111011110111101
Octal (base 8)173675
Hexadecimal (base 16)F7BD
Base 310012222221
As time63421 seconds = 17 h 37 min 1 s

Is 63421 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 1)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 7)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 6)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 63421 a prime number?

Yes. 63421 is divisible only by 1 and itself.

What are the factors of 63421?

1, 63421.

What is 63421 in binary?

1111011110111101 (hexadecimal F7BD, octal 173675).

What is the square root of 63421?

About 251.8353.

Is 63421 divisible by 3?

No. Its digits add up to 16, which is not a multiple of 3.

What is special about the number 63421?

63421 is a twin prime (63419 and 63421 are both prime); the 6357th prime number.

All about 63421

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