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The number 61227

61227 is a composite number with 6 divisors. Its prime factorisation is 323^{2} × 6803. Divisors (6): 1, 3, 9, 6803, 20409, 61227.

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How to work it out

  1. 1

    What is special about 61227: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    61227 is composite. Its prime factorisation is

    61227=32×680361227 = 3^{2} \times 6803
  3. 3

    The divisors add up to 88452; without 61227 itself that is 27225, so 61227 is deficient (27225 is less than 61227). Euler's totient φ(61227) = 40812 numbers up to 61227 share no factor with it.

  4. 4

    The digits of 61227 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 179 steps to reach 1.

LaTeX source of the formulas on this page
\[ 61227 = 3^{2} \times 6803 \]

61227 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors88452
Euler totient φ(n)40812
Square3748745529
Cube229524442504083
Square root247.440902 (= 3√6803)
Digit sum / digital root18 / 9
Collatz steps to 1179
Scientific notation6.1227 × 10410^{4}

61227 in other forms

FormValue
In wordssixty-one thousand two hundred and twenty-seven
Binary (base 2)1110111100101011
Octal (base 8)167453
Hexadecimal (base 16)EF2B
Base 310002222200
As time61227 seconds = 17 h 0 min 27 s

Is 61227 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).
3Yes (61227 ÷ 3 = 20409)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 3)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 2)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 5)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 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (61227 ÷ 9 = 6803)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 7)A number is divisible by 10 if the last digit is 0.
11No (remainder 1)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 61227 a prime number?

No. 61227 = 323^{2} × 6803, so it is divisible by 3.

What are the factors of 61227?

1, 3, 9, 6803, 20409, 61227.

What is 61227 in binary?

1110111100101011 (hexadecimal EF2B, octal 167453).

What is the square root of 61227?

About 247.4409, exactly 3√6803.

Is 61227 divisible by 3?

Yes. Its digits add up to 18, a multiple of 3.

What is special about the number 61227?

61227 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    61227: is it prime? Factors, square root, binary, Roman numeral | WordGPT