Math question for the number 7268: What is the sum of the digits in 7268 when squared and multiplied by the difference of the highest and lowest prime numbers less than it?

To find the sum of the digits in 7268, we first square it: 52697224. Then, we calculate the highest prime number less than 7268, which is 7253, and the lowest prime number less than it, which is 7247. The difference between them is 7253 - 7247 = 6. Now, multiplying the squared value by 6, we get 52697224 * 6 = 316183344. Lastly, we add up the digits in this resulting number: 3 + 1 + 6 + 1 + 8 + 3 + 3 + 4 + 4 = 33. Therefore, the answer is 33.

What is the value of the product when 7268 is multiplied by the sum of the digits of its cube, divided by the square root of the difference between the number of even and odd digits in 7268, rounded to the nearest whole number?

To find the answer, we first calculate the cube of 7268, which is 384,305,978,352. Then we sum the digits of this cube (3 + 8 + 4 + 3 + 0 + 5 + 9 + 7 + 8 + 3 + 5 + 2), resulting in 57. Next, we count the number of even and odd digits in 7268, which are 2 even digits (2 and 8) and 2 odd digits (7 and 6). The difference is 0. Now, we calculate the square root of 0, which is also 0. Since dividing by 0 is undefined, we cannot proceed further with this calculation. Thus, the answer is undefined due to the square root of the difference between the number of even and odd digits being zero.

Question: How many three-digit prime numbers are factors of 7268?

To find the three-digit prime factors of 7268, we must check divisibility by all primes up to the square root of 7268, which is approximately 85.37. Starting from 2, we see that 7268 is divisible by 2, yielding 3634. Repeating the process, we find it is also divisible by 19 (resulting in 191), yielding 191. Therefore, 7268 = 2 * 19 * 191. Since 191 is a three-digit prime number, the number of three-digit prime factors of 7268 is 1.

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

7268 (number)

7268 is an even 4-digits composite number following 7267 and preceding 7269. In scientific notation, it is written as 7.268 × 10^3. The sum of its digits is 23. It has a total of 4 prime factors and 12 positive divisors. There are 3432 positive integers (up to 7268) that are relatively prime to 7268.

Interesting facts

7268 has 12 divisors, whose sum is 13440
The reverse of 7268 is 8627
Previous prime number is 23

Basic properties

Is Prime? no
Number parity even
Number length 4
Sum of Digits 23
Digital Root 5

Name

Name	seven thousand two hundred sixty-eight

Notation

Scientific notation	7.268 × 10^3
Engineering notation	7.268 × 10^3

Prime Factorization of 7268

Prime Factorization 2 × 2 × 23 × 79

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	4	Total number of prime factors
rad	Radical	3634	Product of the distinct prime numbers

The prime factorization of 7268 is 2 × 2 × 23 × 79. Since it has a total of 4 prime factors.

Most popular turbo-numbers

3, 2, 43, 21, 994, 533, 623, 3554, 70272, 83961, 620614, 929427, 4672077, 9028921, 96992412, 8772207, 908278322, 195173188, 9160539712, 5898354397

Basic calculations (n = 7268)

Multiplication

n×y

n×2	14536
n×3	21804
n×4	29072
n×5	36340

Division

n÷y

n÷2	3634
n÷3	2422.6666666667
n÷3	1817
n÷5	1453.6

Exponentiation

n^y

n²	52823824
n³	383923552832
n⁴	2790356381982976
n⁵	2.0280310184252E+19

Nth Root

^y√n

²√n	85.252565943788
³√n	19.370387386178
⁴√n	9.2332316089107
⁵√n	5.9194721786146

Divisors of 7268

1, 2, 4, 23, 46, 79, 92, 158, 316, 1817, 3634, 7268

12 divisors

τ	Total Divisors	12	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-7267	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.083333333333333	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	12	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 7268 can be divided by 12 positive divisors. The sum of these divisors (counting 7268) is 1, the average is 0.083333333333333.

Base conversion 7268

Base	System	Value
2	Binary	1110001100100
3	Ternary	100222012
4	Quaternary	1301210
5	Quinary	213033
6	Senary	53352
8	Octal	16144
10	Decimal	7268
12	Duodecimal	4258
16	Hexadecimal	1c64
20	Vigesimal	i38
36	Base36	5lw

Cryptographic Hash Functions

md5	69cd21a0e0b7d5f05dc88a0be36950c7
sha1	9f8daa49d54f9d2103294d20d36eabc9cfeb2376
sha256	c09dc7da52e697a72f0f386ad2ae6fbacd4af81f8af45c592a277e9add22149f
sha512	c5a8bfcbb642f1a0f77d7f0cd99b8b0387da9fba2c627c11d1cf7d81b123670ccacce5bb014117f3e339c1b3781c9c12f07028a23ce4caa69d76da2a837e0b7a
ripemd-160	cb2d22173c97b96cf2129e7e617d36967966617f

7268 as geometric shapes

Circle

Radius = n

Diameter	14536
Circumference	45666.190812581
Area	165950937.41292

Sphere

Radius = n

Volume	1608175217489.5
Surface area	663803749.65168
Circumference	45666.190812581

Square

Length = n

Perimeter	29072
Area	52823824
Diagonal	10278.504171328

Cube

Length = n

Surface area	316942944
Volume	383923552832
Space diagonal	12588.545269411

Equilateral Triangle

Length = n

Perimeter	21804
Area	22873386.754519
Altitude	6294.2726347053

Triangular Pyramid

Length = n

Surface area	22873386.754519
Volume	45245824610.79
Height	3426.1680571092