WordGPT

The number 55229

55229 is the 5612th prime number. Its only divisors are 1 and 55229.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    What is special about 55229: the 5612th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    55229 is prime, so its only factors are 1 and 55229. It is the 5612th prime; the next prime is 55243 and the one before is 55219.

  3. 3

    The divisors add up to 55230; without 55229 itself that is 1, so 55229 is deficient (1 is less than 55229). Euler's totient φ(55229) = 55228 numbers up to 55229 share no factor with it.

  4. 4

    The digits of 55229 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.

55229 at a glance

PropertyValue
Typeprime
Number of divisors2
Sum of divisors55230
Euler totient φ(n)55228
Square3050242441
Cube168461839773989
Square root235.008510
Digit sum / digital root23 / 5
Collatz steps to 165
Scientific notation5.5229 × 10410^{4}

55229 in other forms

FormValue
In wordsfifty-five thousand two hundred and twenty-nine
Binary (base 2)1101011110111101
Octal (base 8)153675
Hexadecimal (base 16)D7BD
Base 32210202112
As time55229 seconds = 15 h 20 min 29 s

Is 55229 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 4)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 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 5)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 9)A number is divisible by 10 if the last digit is 0.
11No (remainder 9)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 55229 a prime number?

Yes. 55229 is divisible only by 1 and itself.

What are the factors of 55229?

1, 55229.

What is 55229 in binary?

1101011110111101 (hexadecimal D7BD, octal 153675).

What is the square root of 55229?

About 235.0085.

Is 55229 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 55229?

55229 is the 5612th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.

All about 55229

Find the next one

Nearby numbers

    55229: is it prime? Factors, square root, binary, Roman numeral | WordGPT