Math question: What is the largest prime factor of the number 2701?

The largest prime factor of 2701 is 37. To verify this, we can perform the prime factorization of 2701. By dividing it successively by prime numbers, we find that 37 is indeed the largest prime factor. To begin, dividing 2701 by 11 gives us 245. Further division by 7 yields 35, which also divides evenly by 5, leaving us with 7. Therefore, we have expressed 2701 as the product of its prime factors: 2701 = 7 * 5 * 7 * 11. Notice that all the prime factors have been used. The largest among them is 37, which confirms our answer.

Math Question: A natural number, when divided by 13, leaves a remainder of 10, and when divided by 17, leaves a remainder of 1. Find the number.

Let's denote the unknown number as N. According to the problem, we can set up the equations N ≡ 10 (mod 13) and N ≡ 1 (mod 17). This means N can be expressed as N = 13a + 10 and N = 17b + 1, where a and b are integers. To find the value of N, we can find the smallest positive value for a and b that satisfy both equations. By solving the simultaneous equations, we find a = 21 and b = 16. Substituting these values into N = 13a + 10 or N = 17b + 1, we get N = 13(21) + 10 = 273 and N = 17(16) + 1 = 273. Therefore, the number is 273.

Math question: What is the smallest multiple of 2701 that is divisible by both 7 and 13?

To find the smallest multiple of 2701 divisible by 7 and 13, we must find its prime factors. Factoring 2701 into prime factors, we get 37 × 73. Both 7 and 13 are prime numbers, so the required multiple must have these prime factors as well. The smallest multiple that satisfies this condition is obtained by multiplying 37 and 73 together, giving us the number 2701. Therefore, the smallest multiple of 2701 that is divisible by both 7 and 13 is 2701 itself.

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

2701 (number)

2701 is an odd 4-digits composite number following 2700 and preceding 2702. In scientific notation, it is written as 2.701 × 10^3. The sum of its digits is 10. It has a total of 2 prime factors and 4 positive divisors. There are 2592 positive integers (up to 2701) that are relatively prime to 2701.

Interesting facts

2701 has 4 divisors, whose sum is 2812
The reverse of 2701 is 1072
Previous prime number is 73

Basic properties

Is Prime? no
Number parity odd
Number length 4
Sum of Digits 10
Digital Root 1

Name

Name	two thousand seven hundred one

Notation

Scientific notation	2.701 × 10^3
Engineering notation	2.701 × 10^3

Prime Factorization of 2701

Prime Factorization 73 × 37

Composite number

ω	Distinct Factors	2	Total number of distinct prime factors
Ω	Total Factors	2	Total number of prime factors
rad	Radical	2701	Product of the distinct prime numbers

The prime factorization of 2701 is 73 × 37. Since it has a total of 2 prime factors.

Most popular turbo-numbers

7, 6, 65, 80, 559, 47, 6830, 9043, 57583, 65694, 456953, 736689, 9837367, 3728580, 18853746, 28804228, 88985772, 552461586, 7272136123, 4904098790

Basic calculations (n = 2701)

Multiplication

n×y

n×2	5402
n×3	8103
n×4	10804
n×5	13505

Division

n÷y

n÷2	1350.5
n÷3	900.33333333333
n÷3	675.25
n÷5	540.2

Exponentiation

n^y

n²	7295401
n³	19704878101
n⁴	53222875750801
n⁵	143754987402913501

Nth Root

^y√n

²√n	51.971145840745
³√n	13.926485395622
⁴√n	7.2091015973383
⁵√n	4.8562933938213

Divisors of 2701

1, 37, 73, 2701

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	-2700	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 2701 can be divided by 4 positive divisors. The sum of these divisors (counting 2701) is 1, the average is 0.25.

Base conversion 2701

Base	System	Value
2	Binary	101010001101
3	Ternary	10201001
4	Quaternary	222031
5	Quinary	41301
6	Senary	20301
8	Octal	5215
10	Decimal	2701
12	Duodecimal	1691
16	Hexadecimal	a8d
20	Vigesimal	6f1
36	Base36	231

Cryptographic Hash Functions

md5	df0e09d6f25a15a815563df9827f48fa
sha1	238ddd756b37747770bdcf39a30e9de47868ecc5
sha256	ce83293c66150ed42f52747cca6a91b85332c740cde625195b15f1abb4b90196
sha512	6b5a569b3186818e583e814f976fbcaf6db133e5131b95156569211bbc273ebd2c46e1d4a8573ae7aba1ca0c91f7e1c3bd927e026879631bac45ef9a78cae390
ripemd-160	923a2520ff51d9f4dc943ea138609182956a322c

2701 as geometric shapes

Circle

Radius = n

Diameter	5402
Circumference	16970.883514692
Area	22919178.186592

Sphere

Radius = n

Volume	82539600375.979
Surface area	91676712.746367
Circumference	16970.883514692

Square

Length = n

Perimeter	10804
Area	7295401
Diagonal	3819.7908319697

Cube

Length = n

Surface area	43772406
Volume	19704878101
Space diagonal	4678.2692312435

Equilateral Triangle

Length = n

Perimeter	8103
Area	3159001.2983972
Altitude	2339.1346156218

Triangular Pyramid

Length = n

Surface area	3159001.2983972
Volume	2322242154.6119
Height	1273.2636106566