Question: What is the sum of the square root of 2968, multiplied by its cube root, divided by the logarithm of its largest prime factor, and rounded to the nearest whole number?

To find the solution, first, find the largest prime factor of 2968, which is 37. Now, calculate the square root of 2968, which is approximately 54.467 and its cube root, which is approximately 14.068. Next, calculate the logarithm of 37 to be approximately 3.610. Now, divide the product of the square root and cube root by the logarithm (54.467 * 14.068) / 3.610 ≈ 211.14. Finally, round this result to the nearest whole number, giving us the answer 211.

What is 2968 divided by 2, minus 37, plus 5 squared, times 3, divided by 4, plus the square root of 2968?

To solve this math problem, first divide 2968 by 2 to get 1484. Subtract 37 from it to get 1447. Then, square 5 to get 25. Multiply it by 3 to get 75. Divide again by 4 to get 18.75. Finally, find the square root of 2968 to be approximately 54.44. Add all the values calculated: 1447 + 18.75 + 54.44 = 1520.19. Therefore, the answer is approximately 1520.19.

Math question: What is the largest prime factor of the number 2968?

To find the largest prime factor of 2968, we can start by dividing 2968 by the smallest prime numbers. After a few divisions, we find that 2968 = 2^3 * 19 * 31. Therefore, the largest prime factor of 2968 is 31.

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

2968 (number)

2968 is an even 4-digits composite number following 2967 and preceding 2969. In scientific notation, it is written as 2.968 × 10^3. The sum of its digits is 25. It has a total of 5 prime factors and 16 positive divisors. There are 1248 positive integers (up to 2968) that are relatively prime to 2968.

Interesting facts

2968 has 16 divisors, whose sum is 6480
The reverse of 2968 is 8692
Previous prime number is 7

Basic properties

Is Prime? no
Number parity even
Number length 4
Sum of Digits 25
Digital Root 7

Name

Name	two thousand nine hundred sixty-eight

Notation

Scientific notation	2.968 × 10^3
Engineering notation	2.968 × 10^3

Prime Factorization of 2968

Prime Factorization 2 × 2 × 2 × 7 × 53

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	5	Total number of prime factors
rad	Radical	742	Product of the distinct prime numbers

The prime factorization of 2968 is 2 × 2 × 2 × 7 × 53. Since it has a total of 5 prime factors.

Most popular turbo-numbers

9, 8, 96, 67, 860, 990, 9332, 3652, 35266, 35793, 771825, 243397, 1023365, 2461944, 93408327, 61931262, 219519168, 271833970, 4548884716, 310763271

Basic calculations (n = 2968)

Multiplication

n×y

n×2	5936
n×3	8904
n×4	11872
n×5	14840

Division

n÷y

n÷2	1484
n÷3	989.33333333333
n÷3	742
n÷5	593.6

Exponentiation

n^y

n²	8809024
n³	26145183232
n⁴	77598903832576
n⁵	230313546575085568

Nth Root

^y√n

²√n	54.479353887505
³√n	14.371032301306
⁴√n	7.381013066477
⁵√n	4.9487188299967

Divisors of 2968

1, 2, 4, 7, 8, 14, 28, 53, 56, 106, 212, 371, 424, 742, 1484, 2968

16 divisors

τ	Total Divisors	16	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-2967	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.0625	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	16	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 2968 can be divided by 16 positive divisors. The sum of these divisors (counting 2968) is 1, the average is 0.0625.

Base conversion 2968

Base	System	Value
2	Binary	101110011000
3	Ternary	11001221
4	Quaternary	232120
5	Quinary	43333
6	Senary	21424
8	Octal	5630
10	Decimal	2968
12	Duodecimal	1874
16	Hexadecimal	b98
20	Vigesimal	788
36	Base36	2ag

Cryptographic Hash Functions

md5	62da8c91ce7b10846231921795d6059e
sha1	8f4b7a4f3e5c58eab322fc067ca3d00de50c0bc9
sha256	46a4efea2592cf8a01e4fc69b1065e39bc2a2520537716c37f390bb81bcebf90
sha512	12ac4000c252b7bc2a28cf245b18edecd7c55f43e2db0a87b5a7b386fb7ec5148e5a90efa9fb734e5b69789603b3252a9e317918d6a2ef82a0e14f92ab19a0dc
ripemd-160	604c46b115d4e383f7652e6f36ed72cbe954c91b

2968 as geometric shapes

Circle

Radius = n

Diameter	5936
Circumference	18648.493991709
Area	27674365.083696

Sphere

Radius = n

Volume	109516687424.55
Surface area	110697460.33478
Circumference	18648.493991709

Square

Length = n

Perimeter	11872
Area	8809024
Diagonal	4197.3858531233

Cube

Length = n

Surface area	52854144
Volume	26145183232
Space diagonal	5140.7267968644

Equilateral Triangle

Length = n

Perimeter	8904
Area	3814419.2832734
Altitude	2570.3633984322

Triangular Pyramid

Length = n

Surface area	3814419.2832734
Volume	3081239393.1187
Height	1399.1286177078