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The number 1226

1226 is a composite number with 4 divisors. Its prime factorisation is 2 × 613. Divisors (4): 1, 2, 613, 1226.

Number

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How to work it out

  1. 1

    What is special about 1226: a semiprime: 2 × 613, the product of two primes.

  2. 2

    1226 is composite. Its prime factorisation is

    1226=2×6131226 = 2 \times 613
  3. 3

    The divisors add up to 1842; without 1226 itself that is 616, so 1226 is deficient (616 is less than 1226). Euler's totient φ(1226) = 612 numbers up to 1226 share no factor with it.

  4. 4

    The digits of 1226 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.

LaTeX source of the formulas on this page
\[ 1226 = 2 \times 613 \]

1226 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors1842
Euler totient φ(n)612
Square1503076
Cube1842771176
Square root35.014283
Digit sum / digital root11 / 2
Collatz steps to 139
Scientific notation1.226 × 10310^{3}

1226 in other forms

FormValue
In wordsone thousand two hundred and twenty-six
Roman numeralsMCCXXVI
Binary (base 2)10011001010
Octal (base 8)2312
Hexadecimal (base 16)4CA
Base 31200102
As time1226 seconds = 20 min 26 s

Is 1226 divisible by 2 to 12?

DivisorAnswerRule
2Yes (1226 ÷ 2 = 613)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 2)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 2)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 1)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 2)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 2)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 6)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 2)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 1226 a prime number?

No. 1226 = 2 × 613, so it is divisible by 2.

What are the factors of 1226?

1, 2, 613, 1226.

What is 1226 in binary?

10011001010 (hexadecimal 4CA, octal 2312).

What is the square root of 1226?

About 35.0143.

What is 1226 in Roman numerals?

MCCXXVI.

Is 1226 divisible by 3?

No. Its digits add up to 11, which is not a multiple of 3.

What is special about the number 1226?

1226 is a semiprime: 2 × 613, the product of two primes.

All about 1226

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