The number 80444

Q: Is 80444 a prime number?

No. 80444 = 2^2 × 7 × 13^2 × 17, so it is divisible by 2.

80444 is a composite number with 36 divisors. Its prime factorisation is $2^{2}$ × 7 × $13^{2}$ × 17. Divisors (36): 1, 2, 4, 7, 13, 14, 17, 26, 28, 34, 52, 68, 91, 119, 169, 182 … 80444.

Number

Pick any whole number from 1 to 100,000.

80444 = 2^{2} \times 7 \times 13^{2} \times 17

Explain it step by step in chat Make a short video of it

How to work it out

1
80444 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
80444 is composite. Its prime factorisation is
$80444 = 2^{2} \times 7 \times 13^{2} \times 17$
3
The divisors add up to 184464; without 80444 itself that is 104020, so 80444 is abundant (104020 is more than 80444). Euler's totient φ(80444) = 29952 numbers up to 80444 share no factor with it.
4
The digits of 80444 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.

LaTeX source of the formulas on this page

\[ 80444 = 2^{2} \times 7 \times 13^{2} \times 17 \]

80444 at a glance

Property	Value
Type	composite
Number of divisors	36
Sum of divisors	184464
Euler totient φ(n)	29952
Square	6471237136
Cube	520572200168384
Square root	283.626515 (= 26√119)
Digit sum / digital root	20 / 2
Collatz steps to 1	94
Scientific notation	8.0444 × $10^{4}$

80444 in other forms

Form	Value
In words	eighty thousand four hundred and forty-four
Binary (base 2)	10011101000111100
Octal (base 8)	235074
Hexadecimal (base 16)	13A3C
Base 3	11002100102
As time	80444 seconds = 22 h 20 min 44 s

Is 80444 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (80444 ÷ 2 = 40222)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	No (remainder 2)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (80444 ÷ 4 = 20111)	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 2)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (80444 ÷ 7 = 11492)	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 2)	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 1)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	No (remainder 8)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 80444 a prime number?

No. 80444 = $2^{2}$ × 7 × $13^{2}$ × 17, so it is divisible by 2.

What are the factors of 80444?

1, 2, 4, 7, 13, 14, 17, 26, 28, 34, 52, 68, 91, 119, 169, 182, 221, 238, 338, 364, 442, 476, 676, 884, 1183, 1547, 2366, 2873, 3094, 4732, 5746, 6188, 11492, 20111, 40222, 80444.

What is 80444 in binary?

10011101000111100 (hexadecimal 13A3C, octal 235074).

What is the square root of 80444?

About 283.6265, exactly 26√119.

Is 80444 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 80444?

It is a composite number with 36 divisors.