The number 1444

No. 1444 = 2^2 × 19^2, so it is divisible by 2.

1444 is a perfect square (38²). Its prime factorisation is $2^{2}$ × $19^{2}$ . Divisors (9): 1, 2, 4, 19, 38, 76, 361, 722, 1444.

Number

Pick any whole number from 1 to 100,000.

1444 = 2^{2} \times 19^{2}

How to work it out

1
What is special about 1444: a perfect square (38²); a happy number: repeatedly adding the squares of its digits reaches 1.
2
1444 is composite. Its prime factorisation is
$1444 = 2^{2} \times 19^{2}$
3
The divisors add up to 2667; without 1444 itself that is 1223, so 1444 is deficient (1223 is less than 1444). Euler's totient φ(1444) = 684 numbers up to 1444 share no factor with it.
4
The digits of 1444 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.

LaTeX source of the formulas on this page

\[ 1444 = 2^{2} \times 19^{2} \]

Form	Value
In words	one thousand four hundred and forty-four
Roman numerals	MCDXLIV
Binary (base 2)	10110100100
Octal (base 8)	2644
Hexadecimal (base 16)	5A4
Base 3	1222111
As time	1444 seconds = 24 min 4 s

Divisor	Answer	Rule
2	Yes (1444 ÷ 2 = 722)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	No (remainder 1)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (1444 ÷ 4 = 361)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	No (remainder 4)	A number is divisible by 5 if the last digit is 0 or 5.
6	No (remainder 4)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (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.
8	No (remainder 4)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	No (remainder 4)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	No (remainder 4)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 3)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	No (remainder 4)	A number is divisible by 12 if it is divisible by both 3 and 4.

Is 1444 a prime number?

No. 1444 = $2^{2}$ × $19^{2}$ , so it is divisible by 2.

What are the factors of 1444?

1, 2, 4, 19, 38, 76, 361, 722, 1444.

What is 1444 in binary?

10110100100 (hexadecimal 5A4, octal 2644).

What is the square root of 1444?

38, because 38 × 38 = 1444.

What is 1444 in Roman numerals?

MCDXLIV.

Is 1444 divisible by 3?

No. Its digits add up to 13, which is not a multiple of 3.

What is special about the number 1444?

1444 is a perfect square (38²); a happy number: repeatedly adding the squares of its digits reaches 1.