The number 74448

Q: Is 74448 a prime number?

No. 74448 = 2^4 × 3^2 × 11 × 47, so it is divisible by 2.

74448 is a composite number with 60 divisors. Its prime factorisation is $2^{4}$ × $3^{2}$ × 11 × 47. Divisors (60): 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 33, 36, 44 … 74448.

Number

Pick any whole number from 1 to 100,000.

74448 = 2^{4} \times 3^{2} \times 11 \times 47

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How to work it out

1
74448 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
74448 is composite. Its prime factorisation is
$74448 = 2^{4} \times 3^{2} \times 11 \times 47$
3
The divisors add up to 232128; without 74448 itself that is 157680, so 74448 is abundant (157680 is more than 74448). Euler's totient φ(74448) = 22080 numbers up to 74448 share no factor with it.
4
The digits of 74448 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.

LaTeX source of the formulas on this page

\[ 74448 = 2^{4} \times 3^{2} \times 11 \times 47 \]

74448 at a glance

Property	Value
Type	composite
Number of divisors	60
Sum of divisors	232128
Euler totient φ(n)	22080
Square	5542504704
Cube	412628390203392
Square root	272.851608 (= 12√517)
Digit sum / digital root	27 / 9
Collatz steps to 1	156
Scientific notation	7.4448 × $10^{4}$

74448 in other forms

Form	Value
In words	seventy-four thousand four hundred and forty-eight
Binary (base 2)	10010001011010000
Octal (base 8)	221320
Hexadecimal (base 16)	122D0
Base 3	10210010100
As time	74448 seconds = 20 h 40 min 48 s

Is 74448 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (74448 ÷ 2 = 37224)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (74448 ÷ 3 = 24816)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (74448 ÷ 4 = 18612)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	No (remainder 3)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (74448 ÷ 6 = 12408)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 3)	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 (74448 ÷ 8 = 9306)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	Yes (74448 ÷ 9 = 8272)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	No (remainder 8)	A number is divisible by 10 if the last digit is 0.
11	Yes (74448 ÷ 11 = 6768)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (74448 ÷ 12 = 6204)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 74448 a prime number?

No. 74448 = $2^{4}$ × $3^{2}$ × 11 × 47, so it is divisible by 2.

What are the factors of 74448?

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 33, 36, 44, 47, 48, 66, 72, 88, 94, 99, 132, 141, 144, 176, 188, 198, 264, 282, 376, 396, 423, 517, 528, 564, 752, 792, 846, 1034, 1128, 1551, 1584, 1692, 2068, 2256, 3102, 3384, 4136, 4653, 6204, 6768, 8272, 9306, 12408, 18612, 24816, 37224, 74448.

What is 74448 in binary?

10010001011010000 (hexadecimal 122D0, octal 221320).

What is the square root of 74448?

About 272.8516, exactly 12√517.

Is 74448 divisible by 3?

Yes. Its digits add up to 27, a multiple of 3.

What is special about the number 74448?

It is a composite number with 60 divisors.