Math question: What is the sum of all even numbers from 2 to 100, excluding the number 50?

To find the sum of even numbers from 2 to 100, excluding 50, we first need to determine the total number of even numbers within this range. The difference between the first even number (2) and the last even number (100) is 98. Since there are 49 odd numbers interwoven in this range, the total number of even numbers is 49 as well. Next, we calculate the sum of these even numbers using the formula for the sum of an arithmetic series: S = (n/2)(first term + last term), where n is the number of terms. In this case, n = 49, the first term is 2, and the last term is 100. Thus, the sum of all even numbers from 2 to 100, excluding 50, can be obtained as: S = (49/2)(2 + 100) = 49/2 * 102 = 2499. Therefore, the sum of all even numbers from 2 to 100, excluding 50, is 2499.

Math question: What is the sum of the first 20 positive even numbers?

To find the sum of the first 20 positive even numbers, we can use the formula for the sum of an arithmetic series, Sn = n/2 * (2a + (n-1)d), where Sn is the sum, n is the number of terms, a is the first term, and d is the common difference. Since we are considering positive even numbers, a = 2 (as 2 is the first even number), d = 2 (as the difference between consecutive even numbers is 2), and n = 20. Plugging these values into the formula, we get Sn = 20/2 * (2*2 + (20-1)*2) = 10 * (4 + 38) = 10 * 42 = 420. Therefore, the sum of the first 20 positive even numbers is 420.

Question: What is the value of 2 multiplied by the sum of the first 10 prime numbers minus the square root of 2 raised to the power of 3, divided by the logarithm of 2?

To solve this equation, we first identify the first 10 prime numbers (2, 3, 5, 7, 11, 13, 17, 19, 23, 29). Next, we sum them (2+3+5+7+11+13+17+19+23+29 = 129). Then, we find the square root of 2 (√2 ≈ 1.414213). We raise it to the power of 3 (1.414213^3 ≈ 2.828427). Utilizing the logarithm base 10, we compute the logarithm of 2 (log10(2) ≈ 0.301030). We divide the previously computed values (2 * 129 - 2.828427) by the logarithm of 2 (2 * 129 - 2.828427)/0.301030. After simplifying, we get the answer which is approximately 856.642849.

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

2 (number)

2 is an even 1-digits prime number following 1 and preceding 3. In scientific notation, it is written as 2. The sum of its digits is 2. It has a total of 1 prime factors and 2 positive divisors. There are 1 positive integers (up to 2) that are relatively prime to 2.

Interesting facts

2 has 2 divisors, whose sum is 3
The reverse of 2 is 2
Previous prime number is 1

Basic properties

Is Prime? yes
Number parity even
Number length 1
Sum of Digits 2
Digital Root 2

Name

Name	two

Notation

Scientific notation	2
Engineering notation	2

Prime Factorization of 2

Prime Factorization 2

Composite number

ω	Distinct Factors	1	Total number of distinct prime factors
Ω	Total Factors	1	Total number of prime factors
rad	Radical	2	Product of the distinct prime numbers

The prime factorization of 2 is 2. Since it has a total of 1 prime factors.

Most popular turbo-numbers

2, 3, 57, 39, 426, 646, 1172, 2972, 99621, 25858, 496308, 5444, 5527344, 1670299, 25098550, 36659769, 143578513, 357454407, 1238052615, 9063286552

Basic calculations (n = 2)

Multiplication

n×y

n×2	4
n×3	6
n×4	8
n×5	10

Division

n÷y

n÷2	1
n÷3	0.66666666666667
n÷3	0.5
n÷5	0.4

Exponentiation

n^y

n²	4
n³	8
n⁴	16
n⁵	32

Nth Root

^y√n

²√n	1.4142135623731
³√n	1.2599210498949
⁴√n	1.1892071150027
⁵√n	1.148698354997

Divisors of 2

1, 2

2 divisors

τ	Total Divisors	2	Total number of the positive divisors of n
σ	Sum of Divisors	3	Sum of all the positive divisors of n
s	Aliquot Sum	1	Sum of the proper positive divisors of n
A	Arithmetic Mean	1.5	Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n))
G	Geometric Mean	1.7320508075689	Returns the nth root of the product of n divisors
H	Harmonic Mean	1.3333333333333	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 2 can be divided by 2 positive divisors. The sum of these divisors (counting 2) is 3, the average is 1.5.

Base conversion 2

Base	System	Value
2	Binary	10
3	Ternary	2
4	Quaternary	2
5	Quinary	2
6	Senary	2
8	Octal	2
10	Decimal	2
12	Duodecimal	2
16	Hexadecimal	2
20	Vigesimal	2
36	Base36	2

Cryptographic Hash Functions

md5	c81e728d9d4c2f636f067f89cc14862c
sha1	da4b9237bacccdf19c0760cab7aec4a8359010b0
sha256	d4735e3a265e16eee03f59718b9b5d03019c07d8b6c51f90da3a666eec13ab35
sha512	40b244112641dd78dd4f93b6c9190dd46e0099194d5a44257b7efad6ef9ff4683da1eda0244448cb343aa688f5d3efd7314dafe580ac0bcbf115aeca9e8dc114
ripemd-160	412fc6097e62d5c494b8df37e3805805467d1a2c

2 as geometric shapes

Circle

Radius = n

Diameter	4
Circumference	12.566370614359
Area	12.566370614359

Sphere

Radius = n

Volume	33.510321638291
Surface area	50.265482457437
Circumference	12.566370614359

Square

Length = n

Perimeter	8
Area	4
Diagonal	2.8284271247462

Cube

Length = n

Surface area	24
Volume	8
Space diagonal	3.4641016151378

Equilateral Triangle

Length = n

Perimeter	6
Area	1.7320508075689
Altitude	1.7320508075689

Triangular Pyramid

Length = n

Surface area	1.7320508075689
Volume	0.94280904158206
Height	0.94280904158206