Math Question: What is the smallest prime number greater than 1131?

To find the answer, we can start by observing that the number 1131 is not divisible by 2, 3, 5, 7, 11, or 13. Thus, we conclude that 1131 is not a prime number. Next, we increment 1131 by 1 to get 1132. Again, 1132 is even, so it is not prime. Continuing to increment, we reach 1133 and find that it is divisible by 23 (49 times), making it composite. Upon reaching 1134, we note that it is divisible by both 2 and 3. Finally, when we check 1135, we find that it is divisible by 5 and 227. Hence, the smallest prime number greater than 1131 is 1139. Answer Length: 366 characters.

Math question: What is the sum of all prime numbers less than or equal to 1131?

To find the sum of prime numbers up to 1131, we need to identify all prime numbers less than or equal to 1131 and add them up. Prime numbers among 1 and 1131 include: 2, 3, 5, 7, 11, 13, 17, ... To determine which numbers are prime, we can utilize the sieve of Eratosthenes or a similar method. Summing these prime numbers, we get 2 + 3 + 5 + ... + 1109 + 1117 + 1129 + 113 + 131 + 137 + 139. Evaluating this sum yields 77,651. Therefore, the sum of all prime numbers less than or equal to 1131 is 77,651.

Math question: Is the number 1131 divisible by both 3 and 7? Explain why or why not in detail using prime factorization.

To check if 1131 is divisible by 3, we need to sum its digits. 1 + 1 + 3 + 1 = 6, which is divisible by 3. Hence, 1131 is divisible by 3. To check if it is divisible by 7, let's express it in terms of its prime factors. The prime factorization of 1131 is 3 × 7 × 17. Since 1131 contains a factor of 7, it is divisible by 7. Thus, the answer is yes, 1131 is divisible by both 3 and 7.

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

1131 (number)

1131 is an odd 4-digits composite number following 1130 and preceding 1132. In scientific notation, it is written as 1.131 × 10^3. The sum of its digits is 6. It has a total of 3 prime factors and 8 positive divisors. There are 672 positive integers (up to 1131) that are relatively prime to 1131.

Interesting facts

1131 has 8 divisors, whose sum is 1680
The reverse of 1131 is 1311
Previous prime number is 13

Basic properties

Is Prime? no
Number parity odd
Number length 4
Sum of Digits 6
Digital Root 6

Name

Name	one thousand one hundred thirty-one

Notation

Scientific notation	1.131 × 10^3
Engineering notation	1.131 × 10^3

Prime Factorization of 1131

Prime Factorization 3 × 13 × 29

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	3	Total number of prime factors
rad	Radical	1131	Product of the distinct prime numbers

The prime factorization of 1131 is 3 × 13 × 29. Since it has a total of 3 prime factors.

Most popular turbo-numbers

6, 7, 82, 67, 467, 435, 3773, 9842, 80196, 81376, 391691, 17456, 744767, 8821427, 10747435, 82888310, 631606990, 148721349, 6744344778, 933449177

Basic calculations (n = 1131)

Multiplication

n×y

n×2	2262
n×3	3393
n×4	4524
n×5	5655

Division

n÷y

n÷2	565.5
n÷3	377
n÷3	282.75
n÷5	226.2

Exponentiation

n^y

n²	1279161
n³	1446731091
n⁴	1636252863921
n⁵	1850601989094651

Nth Root

^y√n

²√n	33.6303434416
³√n	10.418875975831
⁴√n	5.7991674783197
⁵√n	4.080303999098

Divisors of 1131

1, 3, 13, 29, 39, 87, 377, 1131

8 divisors

τ	Total Divisors	8	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-1130	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.125	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	8	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 1131 can be divided by 8 positive divisors. The sum of these divisors (counting 1131) is 1, the average is 0.125.

Base conversion 1131

Base	System	Value
2	Binary	10001101011
3	Ternary	1112220
4	Quaternary	101223
5	Quinary	14011
6	Senary	5123
8	Octal	2153
10	Decimal	1131
12	Duodecimal	7a3
16	Hexadecimal	46b
20	Vigesimal	2gb
36	Base36	vf

Cryptographic Hash Functions

md5	fe709c654eac84d5239d1a12a4f71877
sha1	eeb8f1dbcd3eedab645d5ab893d199d494579bf3
sha256	af6b495dd2d7c1174d63ec26b36a86cf4bebe478260becafd815b81cdce71b0f
sha512	ed23962201a3ab615f2049080ad930c234fee61af8eeb2a3bc82e1797f7b5608c146ccaa3fefe55be541eacbd4ee28fc51ad4583286c8ec1cd1ad077a655fa40
ripemd-160	d677e592443068a5e303ff9b9177cfb9f1ecfb10

1131 as geometric shapes

Circle

Radius = n

Diameter	2262
Circumference	7106.2825824201
Area	4018602.8003586

Sphere

Radius = n

Volume	6060053022.9407
Surface area	16074411.201434
Circumference	7106.2825824201

Square

Length = n

Perimeter	4524
Area	1279161
Diagonal	1599.475539044

Cube

Length = n

Surface area	7674966
Volume	1446731091
Space diagonal	1958.9494633604

Equilateral Triangle

Length = n

Perimeter	3393
Area	553892.96076515
Altitude	979.4747316802

Triangular Pyramid

Length = n

Surface area	553892.96076515
Volume	170498894.16659
Height	533.15851301466