Question: In a sequence where each term is obtained by adding 2 to the previous term, what is the 23rd term?

To find the 23rd term in the sequence, we can use the formula for the nth term of an arithmetic sequence: a_n = a_1 + (n - 1)d. Here, the first term, a_1, is 23, and the common difference, d, is 2 since we add 2 each time. Plugging values into the formula, we have a_23 = 23 + (23 - 1) * 2 = 23 + 22 * 2 = 23 + 44 = 67. Therefore, the 23rd term of the sequence is 67.

Math Question: What is the sum of three consecutive odd numbers starting from 23?

Let the three consecutive odd numbers be n, (n+2), and (n+4). To find their sum, we add them: n + (n+2) + (n+4). Simplifying, we have 3n + 6. Substituting n = 23, we get 3(23) + 6 = 69 + 6 = 75. Therefore, the sum of three consecutive odd numbers starting from 23 is 75. This can be visually understood as 23 + 25 + 27 = 75, where 23 is the first odd number, 25 is the second (23+2), and 27 is the third (25+2).

Question: The number 23 is multiplied by a certain integer. If the product is divided by 5, added to 12, and then squared, the final result is 7,236. What is the integer being multiplied?

Let the unknown integer be denoted by 'x'. We then set up the equation ((23x)/5 + 12)^2 = 7,236 and solve for 'x' using algebraic steps. First, we take the square root of both sides: √(((23x)/5 + 12)^2) = √(7,236) Simplifying, we obtain: (23x)/5 + 12 = 86 Next, we isolate 'x' by subtracting 12 from both sides: (23x)/5 = 74 To solve for 'x', we multiply both sides by the reciprocal of 23/5, which is 5/23: x = (5/23) * 74 Evaluating the expression, we find that x ≈ 16.08696. Therefore, the integer being multiplied to obtain 7,236 is approximately 16.

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

23 (number)

23 is an odd 2-digits prime number following 22 and preceding 24. In scientific notation, it is written as 2.3 × 10^1. The sum of its digits is 5. It has a total of 1 prime factors and 2 positive divisors. There are 22 positive integers (up to 23) that are relatively prime to 23.

Interesting facts

23 has 2 divisors, whose sum is 24
The reverse of 23 is 32
Previous prime number is 1

Basic properties

Is Prime? yes
Number parity odd
Number length 2
Sum of Digits 5
Digital Root 5

Name

Name	twenty-three

Notation

Scientific notation	2.3 × 10^1
Engineering notation	2.3 × 10^0

Prime Factorization of 23

Prime Factorization 23

Composite number

ω	Distinct Factors	1	Total number of distinct prime factors
Ω	Total Factors	1	Total number of prime factors
rad	Radical	23	Product of the distinct prime numbers

The prime factorization of 23 is 23. Since it has a total of 1 prime factors.

Most popular turbo-numbers

4, 7, 50, 7, 305, 298, 2057, 2563, 67914, 53889, 454488, 855493, 3459177, 8964414, 15572160, 8413919, 16211140, 446860777, 477688708, 4840527762

Basic calculations (n = 23)

Multiplication

n×y

n×2	46
n×3	69
n×4	92
n×5	115

Division

n÷y

n÷2	11.5
n÷3	7.6666666666667
n÷3	5.75
n÷5	4.6

Exponentiation

n^y

n²	529
n³	12167
n⁴	279841
n⁵	6436343

Nth Root

^y√n

²√n	4.7958315233127
³√n	2.8438669798516
⁴√n	2.1899387030948
⁵√n	1.8721712305549

Divisors of 23

1, 23

2 divisors

τ	Total Divisors	2	Total number of the positive divisors of n
σ	Sum of Divisors	24	Sum of all the positive divisors of n
s	Aliquot Sum	1	Sum of the proper positive divisors of n
A	Arithmetic Mean	12	Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n))
G	Geometric Mean	4.8989794855664	Returns the nth root of the product of n divisors
H	Harmonic Mean	1.9166666666667	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 23 can be divided by 2 positive divisors. The sum of these divisors (counting 23) is 24, the average is 12.

Base conversion 23

Base	System	Value
2	Binary	10111
3	Ternary	212
4	Quaternary	113
5	Quinary	43
6	Senary	35
8	Octal	27
10	Decimal	23
12	Duodecimal	1b
16	Hexadecimal	17
20	Vigesimal	13
36	Base36	n

Cryptographic Hash Functions

md5	37693cfc748049e45d87b8c7d8b9aacd
sha1	d435a6cdd786300dff204ee7c2ef942d3e9034e2
sha256	535fa30d7e25dd8a49f1536779734ec8286108d115da5045d77f3b4185d8f790
sha512	6ff334e1051a09e90127ba4e309e026bb830163a2ce3a355af2ce2310ff6e7e9830d20196a3472bfc8632fd3b60cb56102a84fae70ab1a32942055eb40022225
ripemd-160	cd220e1b7bd30595052c5d85b1d5abd091ac3da8

23 as geometric shapes

Circle

Radius = n

Diameter	46
Circumference	144.51326206513
Area	1661.902513749

Sphere

Radius = n

Volume	50965.010421636
Surface area	6647.610054996
Circumference	144.51326206513

Square

Length = n

Perimeter	92
Area	529
Diagonal	32.526911934581

Cube

Length = n

Surface area	3174
Volume	12167
Space diagonal	39.837168574084

Equilateral Triangle

Length = n

Perimeter	69
Area	229.06371930098
Altitude	19.918584287042

Triangular Pyramid

Length = n

Surface area	229.06371930098
Volume	1433.8947011161
Height	10.842303978194