Math Question: In a sequence, each term is obtained by multiplying the previous term by 2 and then subtracting 1. What is the 1159th term in the sequence?

To find the 1159th term, we start with the first term of 1. Applying the rule of multiplying by 2 and subtracting 1 successively, we get the following terms: 1, 1(2)-1 = 1, 1(2)(2)-1 = 3, 3(2)(2)-1 = 11, 11(2)(2)-1 = 43, 43(2)(2)-1 = 171, and so on. By continuing this pattern, we find that the 1159th term will be quite large. However, calculating it individually would be tedious. Instead, let's use the formula for the nth term of a geometric sequence: Tn = a * r^(n-1), where a is the first term and r is the common ratio. In this case, a = 1 and r = 2. Plugging these values, we can directly calculate T1159 = 1 * 2^(1159-1). Performing the calculation yields the 1159th term as a very large number.

Math question: What is the sum of the prime factors of 1159?

To find the prime factors of 1159, we divide it by the smallest prime number, 2. It leaves a remainder, so we try the next prime, 3. Dividing 1159 by 3 gives 386 with no remainder. Hence, the prime factors of 1159 are 3 and 386. The sum of these prime factors is 3 + 386 = 389. Now, let's validate our answer. We know that 1159 = 3 × 386. To confirm, we multiply 3 by 386 which gives 1158. As expected, it is one less than the original number, since we considered the factors excluding the original number itself. Thus, the sum of the prime factors of 1159 is indeed 389.

Math question: What is the sum of the digits of the square root of 1159, multiplied by the factorial of 9, divided by 8, subtracted by the cube root of 1159, squared, and finally, rounded to the nearest whole number?

To solve this, we first calculate the square root of 1159, which is approximately 34.05. The sum of the digits is 3 + 4 + 0 + 5 = 12. Finding the factorial of 9 (9!) is 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 362,880. Dividing 362,880 by 8, we get 45,360. Next, we calculate the cube root of 1159, which is approximately 10.09. Squaring 10.09 gives us 101.8081. Rounding 101.8081 to the nearest whole number, we get 102. Therefore, the answer to the math question is 102.

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

1159 (number)

1159 is an odd 4-digits composite number following 1158 and preceding 1160. In scientific notation, it is written as 1.159 × 10^3. The sum of its digits is 16. It has a total of 2 prime factors and 4 positive divisors. There are 1080 positive integers (up to 1159) that are relatively prime to 1159.

Interesting facts

1159 has 4 divisors, whose sum is 1240
The reverse of 1159 is 9511
Previous prime number is 19

Basic properties

Is Prime? no
Number parity odd
Number length 4
Sum of Digits 16
Digital Root 7

Name

Name	one thousand one hundred fifty-nine

Notation

Scientific notation	1.159 × 10^3
Engineering notation	1.159 × 10^3

Prime Factorization of 1159

Prime Factorization 19 × 61

Composite number

ω	Distinct Factors	2	Total number of distinct prime factors
Ω	Total Factors	2	Total number of prime factors
rad	Radical	1159	Product of the distinct prime numbers

The prime factorization of 1159 is 19 × 61. Since it has a total of 2 prime factors.

Most popular turbo-numbers

8, 8, 83, 90, 332, 877, 2784, 5569, 8767, 4950, 792793, 806029, 2488382, 3151980, 87912624, 77504658, 390076976, 511181842, 868169807, 8999519722

Basic calculations (n = 1159)

Multiplication

n×y

n×2	2318
n×3	3477
n×4	4636
n×5	5795

Division

n÷y

n÷2	579.5
n÷3	386.33333333333
n÷3	289.75
n÷5	231.8

Exponentiation

n^y

n²	1343281
n³	1556862679
n⁴	1804403844961
n⁵	2091304056309799

Nth Root

^y√n

²√n	34.044089061098
³√n	10.504155573579
⁴√n	5.8347312758257
⁵√n	4.1003099510417

Divisors of 1159

1, 19, 61, 1159

4 divisors

τ	Total Divisors	4	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-1158	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.25	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	4	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 1159 can be divided by 4 positive divisors. The sum of these divisors (counting 1159) is 1, the average is 0.25.

Base conversion 1159

Base	System	Value
2	Binary	10010000111
3	Ternary	1120221
4	Quaternary	102013
5	Quinary	14114
6	Senary	5211
8	Octal	2207
10	Decimal	1159
12	Duodecimal	807
16	Hexadecimal	487
20	Vigesimal	2hj
36	Base36	w7

Cryptographic Hash Functions

md5	16e6a3326dd7d868cbc926602a61e4d0
sha1	0fb0a8a62cbe899f9c109e5ccf6d5f3b35e33f38
sha256	118a91dd9d8f92a02d5ddc7881e260ba24ee44736859fb44262d942da0e0cb03
sha512	301649f0265d873aa4a9891c8dc84b02b60465406d097ed54814de3a4408b1211545895402edf3dda441b6d58e0c464c39e757fec29d24665de4758688725577
ripemd-160	ec60bfcbcfb6424d825f1bcee54354f1e7cc0c81

1159 as geometric shapes

Circle

Radius = n

Diameter	2318
Circumference	7282.2117710211
Area	4220041.7213068

Sphere

Radius = n

Volume	6521371139.9927
Surface area	16880166.885227
Circumference	7282.2117710211

Square

Length = n

Perimeter	4636
Area	1343281
Diagonal	1639.0735187904

Cube

Length = n

Surface area	8059686
Volume	1556862679
Space diagonal	2007.4468859723

Equilateral Triangle

Length = n

Perimeter	3477
Area	581657.73521048
Altitude	1003.7234429862

Triangular Pyramid

Length = n

Surface area	581657.73521048
Volume	183478026.28286
Height	546.35783959681