The number 88044

Q: Is 88044 a prime number?

No. 88044 = 2^2 × 3 × 11 × 23 × 29, so it is divisible by 2.

88044 is a composite number with 48 divisors. Its prime factorisation is $2^{2}$ × 3 × 11 × 23 × 29. Divisors (48): 1, 2, 3, 4, 6, 11, 12, 22, 23, 29, 33, 44, 46, 58, 66, 69 … 88044.

Number

Pick any whole number from 1 to 100,000.

88044 = 2^{2} \times 3 \times 11 \times 23 \times 29

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How to work it out

1
88044 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
88044 is composite. Its prime factorisation is
$88044 = 2^{2} \times 3 \times 11 \times 23 \times 29$
3
The divisors add up to 241920; without 88044 itself that is 153876, so 88044 is abundant (153876 is more than 88044). Euler's totient φ(88044) = 24640 numbers up to 88044 share no factor with it.
4
The digits of 88044 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.

LaTeX source of the formulas on this page

\[ 88044 = 2^{2} \times 3 \times 11 \times 23 \times 29 \]

88044 at a glance

Property	Value
Type	composite
Number of divisors	48
Sum of divisors	241920
Euler totient φ(n)	24640
Square	7751745936
Cube	682494719189184
Square root	296.722092 (= 2√22011)
Digit sum / digital root	24 / 6
Collatz steps to 1	76
Scientific notation	8.8044 × $10^{4}$

88044 in other forms

Form	Value
In words	eighty-eight thousand and forty-four
Binary (base 2)	10101011111101100
Octal (base 8)	253754
Hexadecimal (base 16)	157EC
Base 3	11110202220
As time	88044 seconds = 24 h 27 min 24 s

Is 88044 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (88044 ÷ 2 = 44022)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (88044 ÷ 3 = 29348)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (88044 ÷ 4 = 22011)	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	Yes (88044 ÷ 6 = 14674)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (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.
8	No (remainder 4)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	No (remainder 6)	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	Yes (88044 ÷ 11 = 8004)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (88044 ÷ 12 = 7337)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 88044 a prime number?

No. 88044 = $2^{2}$ × 3 × 11 × 23 × 29, so it is divisible by 2.

What are the factors of 88044?

1, 2, 3, 4, 6, 11, 12, 22, 23, 29, 33, 44, 46, 58, 66, 69, 87, 92, 116, 132, 138, 174, 253, 276, 319, 348, 506, 638, 667, 759, 957, 1012, 1276, 1334, 1518, 1914, 2001, 2668, 3036, 3828, 4002, 7337, 8004, 14674, 22011, 29348, 44022, 88044.

What is 88044 in binary?

10101011111101100 (hexadecimal 157EC, octal 253754).

What is the square root of 88044?

About 296.7221, exactly 2√22011.

Is 88044 divisible by 3?

Yes. Its digits add up to 24, a multiple of 3.

What is special about the number 88044?

It is a composite number with 48 divisors.