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The number 54421

54421 is a twin prime (54419 and 54421 are both prime) and the 5538th prime number. Its only divisors are 1 and 54421.

Number

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How to work it out

  1. 1

    What is special about 54421: a twin prime (54419 and 54421 are both prime); the 5538th prime number.

  2. 2

    54421 is prime, so its only factors are 1 and 54421. It is the 5538th prime; the next prime is 54437 and the one before is 54419.

  3. 3

    The divisors add up to 54422; without 54421 itself that is 1, so 54421 is deficient (1 is less than 54421). Euler's totient φ(54421) = 54420 numbers up to 54421 share no factor with it.

  4. 4

    The digits of 54421 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 91 steps to reach 1.

54421 at a glance

PropertyValue
Typeprime
Number of divisors2
Sum of divisors54422
Euler totient φ(n)54420
Square2961645241
Cube161175695660461
Square root233.283090
Digit sum / digital root16 / 7
Collatz steps to 191
Scientific notation5.4421 × 10410^{4}

54421 in other forms

FormValue
In wordsfifty-four thousand four hundred and twenty-one
Binary (base 2)1101010010010101
Octal (base 8)152225
Hexadecimal (base 16)D495
Base 32202122121
As time54421 seconds = 15 h 7 min 1 s

Is 54421 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 3)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 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 54421 a prime number?

Yes. 54421 is divisible only by 1 and itself.

What are the factors of 54421?

1, 54421.

What is 54421 in binary?

1101010010010101 (hexadecimal D495, octal 152225).

What is the square root of 54421?

About 233.2831.

Is 54421 divisible by 3?

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

What is special about the number 54421?

54421 is a twin prime (54419 and 54421 are both prime); the 5538th prime number.

All about 54421

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