The number 44616

Q: Is 44616 a prime number?

No. 44616 = 2^3 × 3 × 11 × 13^2, so it is divisible by 2.

44616 is a composite number with 48 divisors. Its prime factorisation is $2^{3}$ × 3 × 11 × $13^{2}$ . Divisors (48): 1, 2, 3, 4, 6, 8, 11, 12, 13, 22, 24, 26, 33, 39, 44, 52 … 44616.

Number

Pick any whole number from 1 to 100,000.

44616 = 2^{3} \times 3 \times 11 \times 13^{2}

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How to work it out

1
44616 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
44616 is composite. Its prime factorisation is
$44616 = 2^{3} \times 3 \times 11 \times 13^{2}$
3
The divisors add up to 131760; without 44616 itself that is 87144, so 44616 is abundant (87144 is more than 44616). Euler's totient φ(44616) = 12480 numbers up to 44616 share no factor with it.
4
The digits of 44616 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.

LaTeX source of the formulas on this page

\[ 44616 = 2^{3} \times 3 \times 11 \times 13^{2} \]

44616 at a glance

Property	Value
Type	composite
Number of divisors	48
Sum of divisors	131760
Euler totient φ(n)	12480
Square	1990587456
Cube	88812049936896
Square root	211.224999 (= 26√66)
Digit sum / digital root	21 / 3
Collatz steps to 1	44
Scientific notation	4.4616 × $10^{4}$

44616 in other forms

Form	Value
In words	forty-four thousand six hundred and sixteen
Binary (base 2)	1010111001001000
Octal (base 8)	127110
Hexadecimal (base 16)	AE48
Base 3	2021012110
As time	44616 seconds = 12 h 23 min 36 s

Is 44616 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (44616 ÷ 2 = 22308)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (44616 ÷ 3 = 14872)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (44616 ÷ 4 = 11154)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	No (remainder 1)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (44616 ÷ 6 = 7436)	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	Yes (44616 ÷ 8 = 5577)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	No (remainder 3)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	No (remainder 6)	A number is divisible by 10 if the last digit is 0.
11	Yes (44616 ÷ 11 = 4056)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (44616 ÷ 12 = 3718)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 44616 a prime number?

No. 44616 = $2^{3}$ × 3 × 11 × $13^{2}$ , so it is divisible by 2.

What are the factors of 44616?

1, 2, 3, 4, 6, 8, 11, 12, 13, 22, 24, 26, 33, 39, 44, 52, 66, 78, 88, 104, 132, 143, 156, 169, 264, 286, 312, 338, 429, 507, 572, 676, 858, 1014, 1144, 1352, 1716, 1859, 2028, 3432, 3718, 4056, 5577, 7436, 11154, 14872, 22308, 44616.

What is 44616 in binary?

1010111001001000 (hexadecimal AE48, octal 127110).

What is the square root of 44616?

About 211.2250, exactly 26√66.

Is 44616 divisible by 3?

Yes. Its digits add up to 21, a multiple of 3.

What is special about the number 44616?

It is a composite number with 48 divisors.