Math question: What is the largest prime factor of the number formed by repeating the digits of 4091, i.e., 409140914091... up to a certain length?

To find the prime factorization of the number formed by repeating the digits of 4091, we can express it as 4091 × (111...111) where the number of ones depends on the desired length. However, since the number 4091 is itself a prime, the largest prime factor would be the number formed by repeating the digits of 4091 up to the desired length. Hence, for any length, the largest prime factor is 4091.

Question: What is the sum of the prime factors of the number 4091?

To find the prime factors of 4091, we start by dividing it by the smallest prime number, 2. However, 4091 is an odd number, so 2 is not a factor. Then, we move to the next prime number, 3, and we find that 4091 divided by 3 is not an integer. Next, we try 5, but again, it does not divide evenly. Continuing this process, we find that 4091 is not divisible by 7, 11, 13, 17, and all primes up to its square root. Therefore, 4091 is a prime number itself. Hence, the sum of the prime factors of 4091 is simply 4091.

Math question: Find the smallest prime number greater than 4091 which is also a perfect square and has exactly three distinct prime factors.

The smallest prime number greater than 4091 is 4099. To determine if it is a perfect square, we calculate its square root, which is approximately 64. Therefore, 4099 is not a perfect square. To find if it has exactly three distinct prime factors, we factorize it. 4099 is a prime number, so it cannot be factored further. Thus, it does not have any prime factors other than itself. Hence, 4099 is not a perfect square and does not have exactly three distinct prime factors.

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

4091 (number)

4091 is an odd 4-digits prime number following 4090 and preceding 4092. In scientific notation, it is written as 4.091 × 10^3. The sum of its digits is 14. It has a total of 1 prime factors and 2 positive divisors. There are 4090 positive integers (up to 4091) that are relatively prime to 4091.

Interesting facts

4091 has 2 divisors, whose sum is 4092
The reverse of 4091 is 1904
Previous prime number is 1

Basic properties

Is Prime? yes
Number parity odd
Number length 4
Sum of Digits 14
Digital Root 5

Name

Name	four thousand ninety-one

Notation

Scientific notation	4.091 × 10^3
Engineering notation	4.091 × 10^3

Prime Factorization of 4091

Prime Factorization 4091

Composite number

ω	Distinct Factors	1	Total number of distinct prime factors
Ω	Total Factors	1	Total number of prime factors
rad	Radical	4091	Product of the distinct prime numbers

The prime factorization of 4091 is 4091. Since it has a total of 1 prime factors.

Most popular turbo-numbers

8, 5, 29, 1, 128, 172, 3299, 4932, 59348, 28913, 625744, 800700, 7831758, 5151985, 44361101, 93108580, 280453631, 761523321, 5575211671, 7184277264

Basic calculations (n = 4091)

Multiplication

n×y

n×2	8182
n×3	12273
n×4	16364
n×5	20455

Division

n÷y

n÷2	2045.5
n÷3	1363.6666666667
n÷3	1022.75
n÷5	818.2

Exponentiation

n^y

n²	16736281
n³	68468125571
n⁴	280103101710961
n⁵	1145901789099541451

Nth Root

^y√n

²√n	63.96092557179
³√n	15.99348693244
⁴√n	7.9975574753664
⁵√n	5.2767424314958

Divisors of 4091

1, 4091

2 divisors

τ	Total Divisors	2	Total number of the positive divisors of n
σ	Sum of Divisors	4092	Sum of all the positive divisors of n
s	Aliquot Sum	1	Sum of the proper positive divisors of n
A	Arithmetic Mean	2046	Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n))
G	Geometric Mean	63.968742366878	Returns the nth root of the product of n divisors
H	Harmonic Mean	1.9995112414467	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 4091 can be divided by 2 positive divisors. The sum of these divisors (counting 4091) is 4092, the average is 2046.

Base conversion 4091

Base	System	Value
2	Binary	111111111011
3	Ternary	12121112
4	Quaternary	333323
5	Quinary	112331
6	Senary	30535
8	Octal	7773
10	Decimal	4091
12	Duodecimal	244b
16	Hexadecimal	ffb
20	Vigesimal	a4b
36	Base36	35n

Cryptographic Hash Functions

md5	06f2e099b4f87109d52e15d7c05f0084
sha1	4d40a696d79a54efc1b06cdd0ba8fea928b824a5
sha256	00629d85f8558597cdbaaac85734637131aaa1ed49dc063dc73c2ad497affb97
sha512	0c93c30e35ef20da7294721b2ef2cd507943481d864b722c52655eb5a64fa00ea728d719624ebf1b840e4120caf732ec9530d22f918085a4932de3f9641e641c
ripemd-160	cb66dfb4b60f47b2bcf54aaa3009b6aa6159baa9

4091 as geometric shapes

Circle

Radius = n

Diameter	8182
Circumference	25704.511091672
Area	52578577.438014

Sphere

Radius = n

Volume	286798613731.89
Surface area	210314309.75206
Circumference	25704.511091672

Square

Length = n

Perimeter	16364
Area	16736281
Diagonal	5785.5476836683

Cube

Length = n

Surface area	100417686
Volume	68468125571
Space diagonal	7085.8198537643

Equilateral Triangle

Length = n

Perimeter	12273
Area	7247022.2554374
Altitude	3542.9099268821

Triangular Pyramid

Length = n

Surface area	7247022.2554374
Volume	8069045981.0644
Height	1928.5158945561