Math question: If the number 8224 is multiplied by 3, then divided by 2, what is the result when 1007 is subtracted and squared?

To solve this, we first multiply 8224 by 3, which equals 24672. Then, we divide 24672 by 2, resulting in 12336. Next, we subtract 1007 from 12336, yielding 11329. Finally, we square 11329 to get the final answer of 128119041.

Question: What is the sum of all the odd multiples of 8224 between 1 and 100, inclusive? (200 characters)

To find the sum of the odd multiples of 8224, we first identify the odd multiples in the range: 8224, 24672, 41120, ... up to 98432. The common difference between these multiples is 16448. Using the arithmetic series formula, we calculate the number of terms, which is (last term - first term)/common difference + 1 = (98432 - 8224)/16448 + 1 = 5. Therefore, the sum is given by the formula S = (n/2)(first term + last term) = (5/2)(8224 + 98432) = 243520. Hence, the sum of all the odd multiples of 8224 between 1 and 100, inclusive, is 243520. (491 characters)

Math question: What is the simplified expression for the sum of the digits of the number 8224?

To find the sum of the digits in the number 8224, we first break down the number into its individual digits: 8, 2, 2, and 4. Then, we simply add them together: 8 + 2 + 2 + 4 = 16. Therefore, the sum of the digits in the number 8224 is 16.

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

8224 (number)

8224 is an even 4-digits composite number following 8223 and preceding 8225. In scientific notation, it is written as 8.224 × 10^3. The sum of its digits is 16. It has a total of 6 prime factors and 12 positive divisors. There are 4096 positive integers (up to 8224) that are relatively prime to 8224.

Interesting facts

8224 has 12 divisors, whose sum is 16254
The reverse of 8224 is 4228
Previous prime number is 2

Basic properties

Is Prime? no
Number parity even
Number length 4
Sum of Digits 16
Digital Root 7

Name

Name	eight thousand two hundred twenty-four

Notation

Scientific notation	8.224 × 10^3
Engineering notation	8.224 × 10^3

Prime Factorization of 8224

Prime Factorization 2 × 2 × 2 × 2 × 2 × 257

Composite number

ω	Distinct Factors	2	Total number of distinct prime factors
Ω	Total Factors	6	Total number of prime factors
rad	Radical	514	Product of the distinct prime numbers

The prime factorization of 8224 is 2 × 2 × 2 × 2 × 2 × 257. Since it has a total of 6 prime factors.

Most popular turbo-numbers

10, 5, 4, 10, 471, 35, 9015, 6100, 79929, 42810, 308280, 529331, 9996413, 2855217, 47162421, 39965952, 529000775, 274919092, 8779785341, 3165827528

Basic calculations (n = 8224)

Multiplication

n×y

n×2	16448
n×3	24672
n×4	32896
n×5	41120

Division

n÷y

n÷2	4112
n÷3	2741.3333333333
n÷3	2056
n÷5	1644.8

Exponentiation

n^y

n²	67634176
n³	556223463424
n⁴	4574381763198976
n⁵	3.7619715620548E+19

Nth Root

^y√n

²√n	90.686272390037
³√n	20.184951049956
⁴√n	9.5229340221403
⁵√n	6.0675954966509

Divisors of 8224

1, 2, 4, 8, 16, 32, 257, 514, 1028, 2056, 4112, 8224

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	-8223	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 8224 can be divided by 12 positive divisors. The sum of these divisors (counting 8224) is 1, the average is 0.083333333333333.

Base conversion 8224

Base	System	Value
2	Binary	10000000100000
3	Ternary	102021121
4	Quaternary	2000200
5	Quinary	230344
6	Senary	102024
8	Octal	20040
10	Decimal	8224
12	Duodecimal	4914
16	Hexadecimal	2020
20	Vigesimal	10b4
36	Base36	6cg

Cryptographic Hash Functions

md5	ecd1b059424d5e0056f579a391d1ead9
sha1	b49dd66a212cfb823817354f6fa67a4d9bb4d77d
sha256	2e99a1f37adb615ce73b7dd79cff40f019e0dd509c50b68a5b29504de0fe8235
sha512	cf5807ceb8ea667218a1b31fb16f7511c8afd1d77ba02b6597e919daa45ad287b02bf0cdaac980d69b3e7607e6eff018620206ede8af6a308131a1c1e8a2e12f
ripemd-160	f5890ec7ffa2a5b476750e752b4e9393a2270515

8224 as geometric shapes

Circle

Radius = n

Diameter	16448
Circumference	51672.915966245
Area	212479030.4532

Sphere

Radius = n

Volume	2329903395262.8
Surface area	849916121.8128
Circumference	51672.915966245

Square

Length = n

Perimeter	32896
Area	67634176
Diagonal	11630.492336956

Cube

Length = n

Surface area	405805056
Volume	556223463424
Space diagonal	14244.385841446

Equilateral Triangle

Length = n

Perimeter	24672
Area	29286457.290014
Altitude	7122.1929207232

Triangular Pyramid

Length = n

Surface area	29286457.290014
Volume	65551563807.03
Height	3876.8307789854