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The number 51421

51421 is a twin prime (51419 and 51421 are both prime) and the 5260th prime number. Its only divisors are 1 and 51421.

Number

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How to work it out

  1. 1

    What is special about 51421: a twin prime (51419 and 51421 are both prime); the 5260th prime number.

  2. 2

    51421 is prime, so its only factors are 1 and 51421. It is the 5260th prime; the next prime is 51427 and the one before is 51419.

  3. 3

    The divisors add up to 51422; without 51421 itself that is 1, so 51421 is deficient (1 is less than 51421). Euler's totient φ(51421) = 51420 numbers up to 51421 share no factor with it.

  4. 4

    The digits of 51421 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.

51421 at a glance

PropertyValue
Typeprime
Number of divisors2
Sum of divisors51422
Euler totient φ(n)51420
Square2644119241
Cube135963255491461
Square root226.761990
Digit sum / digital root13 / 4
Collatz steps to 178
Scientific notation5.1421 × 10410^{4}

51421 in other forms

FormValue
In wordsfifty-one thousand four hundred and twenty-one
Binary (base 2)1100100011011101
Octal (base 8)144335
Hexadecimal (base 16)C8DD
Base 32121112111
As time51421 seconds = 14 h 17 min 1 s

Is 51421 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 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 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 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 7)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 51421 a prime number?

Yes. 51421 is divisible only by 1 and itself.

What are the factors of 51421?

1, 51421.

What is 51421 in binary?

1100100011011101 (hexadecimal C8DD, octal 144335).

What is the square root of 51421?

About 226.7620.

Is 51421 divisible by 3?

No. Its digits add up to 13, which is not a multiple of 3.

What is special about the number 51421?

51421 is a twin prime (51419 and 51421 are both prime); the 5260th prime number.

All about 51421

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