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The number 55621

55621 is a twin prime (55619 and 55621 are both prime) and the 5643rd prime number. Its only divisors are 1 and 55621.

Number

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How to work it out

  1. 1

    What is special about 55621: a twin prime (55619 and 55621 are both prime); the 5643rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    55621 is prime, so its only factors are 1 and 55621. It is the 5643rd prime; the next prime is 55631 and the one before is 55619.

  3. 3

    The divisors add up to 55622; without 55621 itself that is 1, so 55621 is deficient (1 is less than 55621). Euler's totient φ(55621) = 55620 numbers up to 55621 share no factor with it.

  4. 4

    The digits of 55621 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.

55621 at a glance

PropertyValue
Typeprime
Number of divisors2
Sum of divisors55622
Euler totient φ(n)55620
Square3093695641
Cube172074445248061
Square root235.841048
Digit sum / digital root19 / 1
Collatz steps to 191
Scientific notation5.5621 × 10410^{4}

55621 in other forms

FormValue
In wordsfifty-five thousand six hundred and twenty-one
Binary (base 2)1101100101000101
Octal (base 8)154505
Hexadecimal (base 16)D945
Base 32211022001
As time55621 seconds = 15 h 27 min 1 s

Is 55621 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 1)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 5)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 55621 a prime number?

Yes. 55621 is divisible only by 1 and itself.

What are the factors of 55621?

1, 55621.

What is 55621 in binary?

1101100101000101 (hexadecimal D945, octal 154505).

What is the square root of 55621?

About 235.8410.

Is 55621 divisible by 3?

No. Its digits add up to 19, which is not a multiple of 3.

What is special about the number 55621?

55621 is a twin prime (55619 and 55621 are both prime); the 5643rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.

All about 55621

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