Question: If we factorize the number 7668 into its prime factors, what would be the product of the exponents of those factors?

To find the prime factors of 7668, we start by checking divisibility. 2 does not divide evenly into 7668, so we move on to 3, which does. Dividing 7668 by 3 gives us 2556. Again, we divide by 3, resulting in 852. Dividing 852 by 2 gives 426, which is divisible by 2 again, giving us 213. Finally, dividing 213 by 3 yields 71, which is a prime number. Therefore, the prime factorization of 7668 is 2² × 3² × 71. The exponents of the prime factors are 2 and 2 (2²) for 2, 2 and 2 (3²) for 3, and 1 (71¹) for 71. Taking the product of these exponents, we have: Exponent product = 2² × 3² × 1 = 4 × 9 × 1 = 36. Hence, the product of the exponents of the prime factors of 7668 is 36.

What is the product of 7668 and its quotient when divided by 2, plus the square root of 7668, divided by 3, minus 10 multiplied by the cube root of 7668, raised to the power of 2?

To solve this, let's break down the equation step by step. First, divide 7668 by 2, yielding a quotient of 3834. Next, find the square root of 7668, which is approximately 87.571. Then, divide this square root by 3, giving a value of approximately 29.190. Finally, calculate the cube root of 7668, which is roughly 19.128, then multiply it by -10, resulting in -191.28. Now, let's put it all together: 3834 multiplied by 3834 equals 14,691,756. 87.571 divided by 29.190 equals 2.999, approximately. (-10) multiplied by (-191.28) equals 1912.8. The equation becomes: 14,691,756 multiplied by 2.999 plus 1912.8 squared. Evaluating this expression, we have: 14,691,756 multiplied by 2.999 equals 44,062,083.044. 1912.8 squared equals 3,660,422.24. Adding these values together, we get: 44,062,083.044 plus 3,660,422.24 equals 47,722,505.284. Thus, the answer is approximately 47,722,505.284.

What is the sum of the digits of the number 7668 when each digit is raised to the power of its position and added together? (e.g., 7^1 + 6^2 + 6^3 + 8^4)

To find the sum of the digits of the number 7668 raised to the power of their respective positions and added, we calculate: 7^1 + 6^2 + 6^3 + 8^4 = 7 + 36 + 216 + 4096 = 4355.

Max	9223372036854775807
25835	Positive integer
0b10001100	Binary number
01771452	Octal number
0x129abf	Hex number
5.012 * 10^7	Scientific notation
2^4 * 5	Factorized form
*	Random number

7668 (number)

7668 is an even 4-digits composite number following 7667 and preceding 7669. In scientific notation, it is written as 7.668 × 10^3. The sum of its digits is 27. It has a total of 6 prime factors and 24 positive divisors. There are 2520 positive integers (up to 7668) that are relatively prime to 7668.

Interesting facts

7668 has 24 divisors, whose sum is 20160
The reverse of 7668 is 8667
Previous prime number is 3

Basic properties

Is Prime? no
Number parity even
Number length 4
Sum of Digits 27
Digital Root 9

Name

Name	seven thousand six hundred sixty-eight

Notation

Scientific notation	7.668 × 10^3
Engineering notation	7.668 × 10^3

Prime Factorization of 7668

Prime Factorization 2 × 2 × 3 × 3 × 3 × 71

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	6	Total number of prime factors
rad	Radical	426	Product of the distinct prime numbers

The prime factorization of 7668 is 2 × 2 × 3 × 3 × 3 × 71. Since it has a total of 6 prime factors.

Most popular turbo-numbers

9, 6, 66, 12, 563, 262, 9043, 6542, 46966, 44099, 702061, 258950, 6156808, 7288330, 69137412, 20189854, 190871997, 144729136, 1153490986, 2463707685

Basic calculations (n = 7668)

Multiplication

n×y

n×2	15336
n×3	23004
n×4	30672
n×5	38340

Division

n÷y

n÷2	3834
n÷3	2556
n÷3	1917
n÷5	1533.6

Exponentiation

n^y

n²	58798224
n³	450864781632
n⁴	3457231145554176
n⁵	2.6510048424109E+19

Nth Root

^y√n

²√n	87.567117115959
³√n	19.719415354327
⁴√n	9.3577303399894
⁵√n	5.983239961554

Divisors of 7668

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 71, 108, 142, 213, 284, 426, 639, 852, 1278, 1917, 2556, 3834, 7668

24 divisors

τ	Total Divisors	24	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-7667	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.041666666666667	Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n))
G	Geometric Mean	1	Returns the nth root of the product of n divisors
H	Harmonic Mean	24	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 7668 can be divided by 24 positive divisors. The sum of these divisors (counting 7668) is 1, the average is 0.041666666666667.

Base conversion 7668

Base	System	Value
2	Binary	1110111110100
3	Ternary	101112000
4	Quaternary	1313310
5	Quinary	221133
6	Senary	55300
8	Octal	16764
10	Decimal	7668
12	Duodecimal	4530
16	Hexadecimal	1df4
20	Vigesimal	j38
36	Base36	5x0

Cryptographic Hash Functions

md5	b4d6f2b565ca0eef1f9245403aac366a
sha1	9eb4f40e2b21953699e31c144e39eb2cf963a1e6
sha256	5826126bc35b86197ce12e157f1a986f3faa962fbee8accf8420aae69d04e69a
sha512	1aa06cab6ba32de1a5c3f37738087c7b3a2aa910a0a4ea40f6b085cb6996f821e3a6dee4631f7b3ccada91eec02cca7eaa2281c24bdcae7d5b3bc0632b51c0fa
ripemd-160	63ca729cb95362afd97f180cee6fce1d66a10132

7668 as geometric shapes

Circle

Radius = n

Diameter	15336
Circumference	48179.464935453
Area	184720068.56253

Sphere

Radius = n

Volume	1888577980983.3
Surface area	738880274.25011
Circumference	48179.464935453

Square

Length = n

Perimeter	30672
Area	58798224
Diagonal	10844.189596277

Cube

Length = n

Surface area	352789344
Volume	450864781632
Space diagonal	13281.365592438

Equilateral Triangle

Length = n

Perimeter	23004
Area	25460377.840704
Altitude	6640.6827962191

Triangular Pyramid

Length = n

Surface area	25460377.840704
Volume	53134924081.697
Height	3614.7298654256