What is the square root of the sum of the prime factors of the number 2992, divided by the product of the digits of 2992?

The prime factors of 2992 are 2 and 13. Their sum is 2 + 13 = 15. The product of the digits of 2992 is 2 × 9 × 9 × 2 = 324. Dividing the square root of 15 by 324 gives us approximately 0.0441.

Math Question: What is the sum of all multiples of 7 between 2500 and 3000, inclusive?

To find the sum of multiples of 7 between 2500 and 3000, we can use the formula for the sum of an arithmetic series: Sn = (n/2)(a + l), where Sn is the sum, n is the number of terms, a is the first term, and l is the last term. First, we find the smallest multiple of 7 greater than or equal to 2500, which is 2509. Then, we find the largest multiple of 7 less than or equal to 3000, which is 2995. The first term (a) is 2509, the last term (l) is 2995, and the common difference (d) is 7. To find the number of terms, we use the formula n = ((l - a) / d) + 1 = ((2995 - 2509) / 7) + 1 = 68. Now we can substitute the values into the sum formula: Sn = (68/2)(2509 + 2995) = 34(5504) = 187,136. Therefore, the sum of all multiples of 7 between 2500 and 3000, inclusive, is 187,136.

Question: What is the sum of all even numbers divisible by 8 between 1000 and 2992?

To find the answer, we'll first determine the first and last even numbers divisible by 8 within this range. The first even number divisible by 8 greater than or equal to 1000 is 1008, while the last one is 2992. Using the formula for the sum of an arithmetic series, Sn = (n/2)(a + l), where Sn is the sum, n is the number of terms, a is the first term, and l is the last term, we can calculate the sum by substituting the values: Sn = (n/2)(a + l) = (n/2)(1008 + 2992) Next, we need to determine the number of terms in the sequence. Since the first term is 1008 and the last term is 2992, there are (2992 - 1008)/8 + 1 = 2985/8 + 1 = 373.125 + 1 ≈ 374 terms. Substituting n = 374, a = 1008, and l = 2992 into the formula, we get: Sn = (374/2)(1008 + 2992) = 187(4000) = 748,000. Therefore, the sum of all even numbers divisible by 8 between 1000 and 2992 is 748,000.

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

2992 (number)

2992 is an even 4-digits composite number following 2991 and preceding 2993. In scientific notation, it is written as 2.992 × 10^3. The sum of its digits is 22. It has a total of 6 prime factors and 20 positive divisors. There are 1280 positive integers (up to 2992) that are relatively prime to 2992.

Interesting facts

2992 has 20 divisors, whose sum is 6696
The reverse of 2992 is 2992
Previous prime number is 17

Basic properties

Is Prime? no
Number parity even
Number length 4
Sum of Digits 22
Digital Root 4

Name

Name	two thousand nine hundred ninety-two

Notation

Scientific notation	2.992 × 10^3
Engineering notation	2.992 × 10^3

Prime Factorization of 2992

Prime Factorization 2 × 2 × 2 × 2 × 17 × 11

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	6	Total number of prime factors
rad	Radical	374	Product of the distinct prime numbers

The prime factorization of 2992 is 2 × 2 × 2 × 2 × 17 × 11. Since it has a total of 6 prime factors.

Most popular turbo-numbers

8, 4, 22, 43, 994, 445, 7419, 2441, 836, 87204, 402529, 308476, 5985044, 5918026, 19862700, 9767333, 207106094, 638459532, 6572502088, 3654079220

Basic calculations (n = 2992)

Multiplication

n×y

n×2	5984
n×3	8976
n×4	11968
n×5	14960

Division

n÷y

n÷2	1496
n÷3	997.33333333333
n÷3	748
n÷5	598.4

Exponentiation

n^y

n²	8952064
n³	26784575488
n⁴	80139449860096
n⁵	239777233981407232

Nth Root

^y√n

²√n	54.699177324709
³√n	14.409664294429
⁴√n	7.3958892179852
⁵√n	4.9566963870031

Divisors of 2992

1, 2, 4, 8, 11, 16, 17, 22, 34, 44, 68, 88, 136, 176, 187, 272, 374, 748, 1496, 2992

20 divisors

τ	Total Divisors	20	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-2991	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.05	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	20	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 2992 can be divided by 20 positive divisors. The sum of these divisors (counting 2992) is 1, the average is 0.05.

Base conversion 2992

Base	System	Value
2	Binary	101110110000
3	Ternary	11002211
4	Quaternary	232300
5	Quinary	43432
6	Senary	21504
8	Octal	5660
10	Decimal	2992
12	Duodecimal	1894
16	Hexadecimal	bb0
20	Vigesimal	79c
36	Base36	2b4

Cryptographic Hash Functions

md5	24b43fb034a10d78bec71274033b4096
sha1	98982f260976247cefbe16d66495921b12fca106
sha256	5e387e075b1e55bb4cee37981404386671c0d18d82eaf5decd10f9f2daee8a05
sha512	e764c0fccf9e685fc469186984418a3701f61b5e9f9120101e0a018f9391dee8391a08a7b06f8cc823f245b174d25ca70a85ba55ed801beefe4e309ade3f8ba4
ripemd-160	6b70dc59781dd527bfcc87e889e03aaedf57b89b

2992 as geometric shapes

Circle

Radius = n

Diameter	5984
Circumference	18799.290439081
Area	28123738.496866

Sphere

Radius = n

Volume	112194967443.5
Surface area	112494953.98746
Circumference	18799.290439081

Square

Length = n

Perimeter	11968
Area	8952064
Diagonal	4231.3269786203

Cube

Length = n

Surface area	53712384
Volume	26784575488
Space diagonal	5182.2960162461

Equilateral Triangle

Length = n

Perimeter	8976
Area	3876357.4201521
Altitude	2591.148008123

Triangular Pyramid

Length = n

Surface area	3876357.4201521
Volume	3156592493.128
Height	1410.4423262068