Question: What is the sum of the three highest prime factors of 7688?

To find the prime factors of 7688, we divide it by primes starting from 2. By division, we find that 7688 = 2 * 2 * 2 * 961. The prime factors are 2 and 961. Since 961 is not prime, we continue dividing it by primes. Eventually, we find that 961 = 31 * 31. Therefore, the prime factors of 7688 are 2, 2, 2, 31, and 31. The three highest prime factors are 31, 31, and 2. Their sum is 31 + 31 + 2 = 64. Thus, the answer is 64.

Question: What is the smallest positive integer that can be multiplied by 7688 to obtain a product that is a perfect square?

The prime factorization of 7688 is 2^3 × 11 × 139. To find the smallest positive integer, we need to consider the highest power of each prime factor that will make the product a perfect square. For the powers of 2, we need an exponent that is a multiple of 2 to ensure it becomes a perfect square. For the powers of 11 and 139, we need exponents that are multiples of 2 to preserve the balance. Thus, the smallest positive integer is (2^2 × 11^2 × 139^2) = 21529708.

Math Question: Find the smallest positive integer that is a multiple of 7688, a perfect square, and divisible by 48.

To solve this, we need to find the least common multiple (LCM) of 7688, 48, and a perfect square. Prime factorizing 7688 yields 2^3 * 43 * 19. The prime factorization of 48 is 2^4 * 3. To make it a perfect square, we need an additional factor of 2. So, the LCM will be 2^4 * 3 * 43 * 19 = 64512. Thus, the smallest integer that satisfies all the given conditions is 64512.

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

7688 (number)

7688 is an even 4-digits composite number following 7687 and preceding 7689. In scientific notation, it is written as 7.688 × 10^3. The sum of its digits is 29. It has a total of 5 prime factors and 12 positive divisors. There are 3720 positive integers (up to 7688) that are relatively prime to 7688.

Interesting facts

7688 has 12 divisors, whose sum is 14895
The reverse of 7688 is 8867
Previous prime number is 31

Basic properties

Is Prime? no
Number parity even
Number length 4
Sum of Digits 29
Digital Root 2

Name

Name	seven thousand six hundred eighty-eight

Notation

Scientific notation	7.688 × 10^3
Engineering notation	7.688 × 10^3

Prime Factorization of 7688

Prime Factorization 2 × 2 × 2 × 31 × 31

Composite number

ω	Distinct Factors	2	Total number of distinct prime factors
Ω	Total Factors	5	Total number of prime factors
rad	Radical	62	Product of the distinct prime numbers

The prime factorization of 7688 is 2 × 2 × 2 × 31 × 31. Since it has a total of 5 prime factors.

Most popular turbo-numbers

4, 3, 34, 48, 742, 30, 3689, 6645, 89964, 61693, 347862, 864115, 1064561, 6621729, 61652562, 74844406, 372966647, 451803370, 1632504529, 1334190111

Basic calculations (n = 7688)

Multiplication

n×y

n×2	15376
n×3	23064
n×4	30752
n×5	38440

Division

n÷y

n÷2	3844
n÷3	2562.6666666667
n÷3	1922
n÷5	1537.6

Exponentiation

n^y

n²	59105344
n³	454401884672
n⁴	3493441689358336
n⁵	2.6857579707787E+19

Nth Root

^y√n

²√n	87.681240867132
³√n	19.736544806438
⁴√n	9.3638261873623
⁵√n	5.9863578579637

Divisors of 7688

1, 2, 4, 8, 31, 62, 124, 248, 961, 1922, 3844, 7688

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	-7687	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 7688 can be divided by 12 positive divisors. The sum of these divisors (counting 7688) is 1, the average is 0.083333333333333.

Base conversion 7688

Base	System	Value
2	Binary	1111000001000
3	Ternary	101112202
4	Quaternary	1320020
5	Quinary	221223
6	Senary	55332
8	Octal	17010
10	Decimal	7688
12	Duodecimal	4548
16	Hexadecimal	1e08
20	Vigesimal	j48
36	Base36	5xk

Cryptographic Hash Functions

md5	6069cecf34adb1d6db60007da39e2ee8
sha1	080981020139267857ad257eff1ec9673f0319b7
sha256	6b94c823cf15f23aae3276b02cdf29863cc4fcb82f54b5c64642d4b512073185
sha512	90d1f806065714578a101a73f4a06eb72499eac7bc9b615f75ae42e0980559bffbf3731840b70695d591cfd2938a4511d759eeba6f8b9bba6e1cc175b56f8ecf
ripemd-160	3054b8077df9821ca51887db3f4414245cbfeca6

7688 as geometric shapes

Circle

Radius = n

Diameter	15376
Circumference	48305.128641597
Area	185684914.4983

Sphere

Radius = n

Volume	1903394163550.5
Surface area	742739657.99319
Circumference	48305.128641597

Square

Length = n

Perimeter	30752
Area	59105344
Diagonal	10872.473867524

Cube

Length = n

Surface area	354632064
Volume	454401884672
Space diagonal	13316.00660859

Equilateral Triangle

Length = n

Perimeter	23064
Area	25593364.701709
Altitude	6658.0033042948

Triangular Pyramid

Length = n

Surface area	25593364.701709
Volume	53551775672.586
Height	3624.1579558415