Math question: Is 8128 a perfect number?

Yes, 8128 is a perfect number. A perfect number is a positive integer that is equal to the sum of its proper positive divisors (excluding the number itself). In the case of 8128, its proper divisors are 1, 2, 4, 8, 16, 32, 64, 127, 254, 508, 1016, 2032, 4064, and the sum of these divisors equals 8128. Hence, 8128 is classified as a perfect number. Perfect numbers have fascinated mathematicians for centuries, and despite being relatively rare, they possess intriguing properties.

Math question: If the number 8128 is expressed as a product of its prime factors, what is the sum of all those prime factors?

Prime factorizing 8128, we get 2^6 * 127. Hence, the sum of the prime factors is 2 + 2 + 2 + 2 + 2 + 2 + 127 = 141.

Math question: If a number is equal to the sum of its proper divisors (excluding itself), and it is not a perfect square, what is this number?

The number that satisfies the given condition is 8128. It can be represented as the sum of its proper divisors: 1 + 2 + 4 + 8 + 16 + 32 + 64 + 127 + 254 + 508 + 1016 + 2032 + 4064 = 8128. Notice that sqrt(8128) ≈ 90.166, so it is not a perfect square. Moreover, the sum of the proper divisors of any other number less than or equal to 8127 will either be greater or lesser than the number itself, making 8128 the only solution.

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

8128 (number)

8128 is an even 4-digits composite number following 8127 and preceding 8129. In scientific notation, it is written as 8.128 × 10^3. The sum of its digits is 19. It has a total of 7 prime factors and 14 positive divisors. There are 4032 positive integers (up to 8128) that are relatively prime to 8128.

Interesting facts

8128 has 14 divisors, whose sum is 16256
The reverse of 8128 is 8218
Previous prime number is 2

Basic properties

Is Prime? no
Number parity even
Number length 4
Sum of Digits 19
Digital Root 1

Name

Name	eight thousand one hundred twenty-eight

Notation

Scientific notation	8.128 × 10^3
Engineering notation	8.128 × 10^3

Prime Factorization of 8128

Prime Factorization 2 × 2 × 2 × 2 × 2 × 2 × 127

Composite number

ω	Distinct Factors	2	Total number of distinct prime factors
Ω	Total Factors	7	Total number of prime factors
rad	Radical	254	Product of the distinct prime numbers

The prime factorization of 8128 is 2 × 2 × 2 × 2 × 2 × 2 × 127. Since it has a total of 7 prime factors.

Most popular turbo-numbers

3, 7, 98, 73, 982, 875, 5768, 8667, 86603, 48927, 702025, 188435, 7880920, 7918849, 33651395, 93191833, 803782505, 297537866, 6807962306, 1843361684

Basic calculations (n = 8128)

Multiplication

n×y

n×2	16256
n×3	24384
n×4	32512
n×5	40640

Division

n÷y

n÷2	4064
n÷3	2709.3333333333
n÷3	2032
n÷5	1625.6

Exponentiation

n^y

n²	66064384
n³	536971313152
n⁴	4364502833299456
n⁵	3.5474679029058E+19

Nth Root

^y√n

²√n	90.155421356677
³√n	20.106102781254
⁴√n	9.49502087184
⁵√n	6.0533632941303

Divisors of 8128

1, 2, 4, 8, 16, 32, 64, 127, 254, 508, 1016, 2032, 4064, 8128

14 divisors

τ	Total Divisors	14	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-8127	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.071428571428571	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	14	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 8128 can be divided by 14 positive divisors. The sum of these divisors (counting 8128) is 1, the average is 0.071428571428571.

Base conversion 8128

Base	System	Value
2	Binary	1111111000000
3	Ternary	102011001
4	Quaternary	1333000
5	Quinary	230003
6	Senary	101344
8	Octal	17700
10	Decimal	8128
12	Duodecimal	4854
16	Hexadecimal	1fc0
20	Vigesimal	1068
36	Base36	69s

Cryptographic Hash Functions

md5	c3d96fbd5b1b45096ff04c04038fff5d
sha1	4b1c1813550688a41c6be1f7d36d02b08afcdb03
sha256	94c1127ab5e9e955e88cd4add474cb9279dc422b58f1048ff5be35232fde0589
sha512	91f136bff4f1b47283a7ea4fb56ba8af230ba41fa341d5e0c658e55019de51894ec6684063660a6d13ada506d1b47a7c4d3139a696359f9e4fec67bd9b148a9d
ripemd-160	fd7367e9c71f79ea16359204f442c615fd2578ef

8128 as geometric shapes

Circle

Radius = n

Diameter	16256
Circumference	51069.730176756
Area	207547383.43834

Sphere

Radius = n

Volume	2249260176782.4
Surface area	830189533.75334
Circumference	51069.730176756

Square

Length = n

Perimeter	32512
Area	66064384
Diagonal	11494.727834969

Cube

Length = n

Surface area	396386304
Volume	536971313152
Space diagonal	14078.10896392

Equilateral Triangle

Length = n

Perimeter	24384
Area	28606717.414685
Altitude	7039.0544819599

Triangular Pyramid

Length = n

Surface area	28606717.414685
Volume	63282676138.737
Height	3831.5759449895