What is the sum of the multiples of 5 and 7 up to 3075?

To find the sum, we can first find the multiples of 5 and 7 below 3075 individually. The multiples of 5: 5, 10, 15, 20, ..., 3070, 3075. The multiples of 7: 7, 14, 21, 28, ..., 3069, 3075. Now we need to find the multiples that are common to both lists (multiples of both 5 and 7). The common multiples are: 35, 70, 105, ..., 3025, 3060. To find the sum of these numbers, we can use the arithmetic series formula Sn = (n/2)(a + l), where Sn is the sum, n is the number of terms, a is the first term, and l is the last term. The first term is 35, the last term is 3060, and the number of terms can be determined using the formula l = a + (n - 1)d, where d is the common difference. Rearranging the formula, we get n = (l - a)/d + 1. Substituting the values, we find n = (3060 - 35)/35 + 1 = 88. So, the sum of the multiples of 5 and 7 up to 3075 is Sn = (88/2)(35 + 3060) = 44 × 3095 = 136,180.

Math question: If 3075 is divided by the sum of its digits multiplied by the difference between the largest and the smallest digit, what is the result? Explanation: To find the sum of the digits, add 3 + 0 + 7 + 5 = 15. The difference between the largest digit (7) and the smallest digit (0) is 7 - 0 = 7. Multiply these two values: 15 × 7 = 105. Now divide 3075 by this product: 3075 ÷ 105 = 29.

The result of dividing 3075 by the sum of its digits multiplied by the difference between the largest and the smallest digit is 29.

Math question: If a number is multiplied by 5, then divided by 3, and the resulting number is reduced by 25%, what is the final value?

Starting with the number 3075, let's solve step by step: 1. Multiply by 5: 3075 * 5 = 15,375 2. Divide by 3: 15,375 / 3 = 5,125 3. Reduce by 25%: 5,125 - (25% of 5,125) = 5,125 - (0.25 * 5,125) = 3,843.75 Therefore, the final value after performing these operations on the number 3075 is 3,843.75.

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

3075 (number)

3075 is an odd 4-digits composite number following 3074 and preceding 3076. In scientific notation, it is written as 3.075 × 10^3. The sum of its digits is 15. It has a total of 3 prime factors and 8 positive divisors. There are 1600 positive integers (up to 3075) that are relatively prime to 3075.

Interesting facts

3075 has 8 divisors, whose sum is 4368
The reverse of 3075 is 5703
Previous prime number is 25

Basic properties

Is Prime? no
Number parity odd
Number length 4
Sum of Digits 15
Digital Root 6

Name

Name	three thousand seventy-five

Notation

Scientific notation	3.075 × 10^3
Engineering notation	3.075 × 10^3

Prime Factorization of 3075

Prime Factorization 3 × 25 × 41

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	3	Total number of prime factors
rad	Radical	3075	Product of the distinct prime numbers

The prime factorization of 3075 is 3 × 25 × 41. Since it has a total of 3 prime factors.

Most popular turbo-numbers

2, 3, 77, 39, 995, 649, 618, 890, 17105, 86783, 759692, 214381, 6909936, 9202410, 69263586, 944549, 524691778, 48312413, 6768083879, 7813342317

Basic calculations (n = 3075)

Multiplication

n×y

n×2	6150
n×3	9225
n×4	12300
n×5	15375

Division

n÷y

n÷2	1537.5
n÷3	1025
n÷3	768.75
n÷5	615

Exponentiation

n^y

n²	9455625
n³	29076046875
n⁴	89408844140625
n⁵	274932195732421875

Nth Root

^y√n

²√n	55.452682532047
³√n	14.541695287977
⁴√n	7.4466557951907
⁵√n	4.9838966058143

Divisors of 3075

1, 3, 25, 41, 75, 123, 1025, 3075

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	-3074	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 3075 can be divided by 8 positive divisors. The sum of these divisors (counting 3075) is 1, the average is 0.125.

Base conversion 3075

Base	System	Value
2	Binary	110000000011
3	Ternary	11012220
4	Quaternary	300003
5	Quinary	44300
6	Senary	22123
8	Octal	6003
10	Decimal	3075
12	Duodecimal	1943
16	Hexadecimal	c03
20	Vigesimal	7df
36	Base36	2df

Cryptographic Hash Functions

md5	a2186aa7c086b46ad4e8bf81e2a3a19b
sha1	1c1b66e6867e147ecdd2960232190bf9fbcc9fe9
sha256	bfa6b4fe534027ca73931fcbe394d8a59a002312b9f60d8759a85ec4e0b635c5
sha512	348b04d0e5a224af1a74cf5833e635aaa5c2ec287f915b31450f9afe7bc0ff2e5cf1ff8ac46f4dc97402686915ca99b4157749ff61a59ffbaeb375a974613daf
ripemd-160	d5d53a75d44db3c5c3afd508d225eb7a7b8ece81

3075 as geometric shapes

Circle

Radius = n

Diameter	6150
Circumference	19320.794819577
Area	29705722.0351

Sphere

Radius = n

Volume	121793460343.91
Surface area	118822888.1404
Circumference	19320.794819577

Square

Length = n

Perimeter	12300
Area	9455625
Diagonal	4348.7067042973

Cube

Length = n

Surface area	56733750
Volume	29076046875
Space diagonal	5326.0562332743

Equilateral Triangle

Length = n

Perimeter	9225
Area	4094405.7293296
Altitude	2663.0281166371

Triangular Pyramid

Length = n

Surface area	4094405.7293296
Volume	3426644985.9017
Height	1449.5689014324