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The number 1227

1227 is a composite number with 4 divisors. Its prime factorisation is 3 × 409. Divisors (4): 1, 3, 409, 1227.

Number

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How to work it out

  1. 1

    What is special about 1227: a semiprime: 3 × 409, the product of two primes.

  2. 2

    1227 is composite. Its prime factorisation is

    1227=3×4091227 = 3 \times 409
  3. 3

    The divisors add up to 1640; without 1227 itself that is 413, so 1227 is deficient (413 is less than 1227). Euler's totient φ(1227) = 816 numbers up to 1227 share no factor with it.

  4. 4

    The digits of 1227 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.

LaTeX source of the formulas on this page
\[ 1227 = 3 \times 409 \]

1227 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors1640
Euler totient φ(n)816
Square1505529
Cube1847284083
Square root35.028560
Digit sum / digital root12 / 3
Collatz steps to 1132
Scientific notation1.227 × 10310^{3}

1227 in other forms

FormValue
In wordsone thousand two hundred and twenty-seven
Roman numeralsMCCXXVII
Binary (base 2)10011001011
Octal (base 8)2313
Hexadecimal (base 16)4CB
Base 31200110
As time1227 seconds = 20 min 27 s

Is 1227 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 (1227 ÷ 3 = 409)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 2)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.
9No (remainder 3)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 6)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 1227 a prime number?

No. 1227 = 3 × 409, so it is divisible by 3.

What are the factors of 1227?

1, 3, 409, 1227.

What is 1227 in binary?

10011001011 (hexadecimal 4CB, octal 2313).

What is the square root of 1227?

About 35.0286.

What is 1227 in Roman numerals?

MCCXXVII.

Is 1227 divisible by 3?

Yes. Its digits add up to 12, a multiple of 3.

What is special about the number 1227?

1227 is a semiprime: 3 × 409, the product of two primes.

All about 1227

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    1227: is it prime? Factors, square root, binary, Roman numeral | WordGPT