Math question: How many prime numbers are there between 1000 and 7000, inclusive?

To find the number of prime numbers between 1000 and 7000, we can use the Sieve of Eratosthenes method. Starting from 1000, we eliminate all multiples of 2, 3, 5, 7, 11, 13, and so on, up to the square root of 7000. After applying this method, we find that the primes between 1000 and 7000 inclusive are: {1009, 1013, 1019, 1021, 1031, 1033, 1039, ... 6949, 6959, 6961, 6967, 6971}. Counting these numbers, we obtain a total of 1978 prime numbers.

Question: If a number is multiplied by 3, then divided by 2, and the result is increased by 3456, what is the final value if we start with the number 6265?

To find the final value, we follow these steps: 6265 × 3 = 18795, 18795 ÷ 2 = 9397.5, 9397.5 + 3456 = 12853.5. Therefore, after the process, the number 6265 becomes 12853.5.

What is the sum of the digits in the number 6265 when each digit is raised to the power of itself and multiplied by its position in the number?

To find the answer, we evaluate each digit: 6^1 * 1^2 + 2^2 * 2^3 + 6^3 * 3^4 + 5^4 * 4^5. Simplifying, we get: 6*1 + 2*8 + 216*81 + 625*1024 = 6 + 16 + 17496 + 640000 = 657518.

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

6265 (number)

6265 is an odd 4-digits composite number following 6264 and preceding 6266. In scientific notation, it is written as 6.265 × 10^3. The sum of its digits is 19. It has a total of 3 prime factors and 8 positive divisors. There are 4272 positive integers (up to 6265) that are relatively prime to 6265.

Interesting facts

6265 has 8 divisors, whose sum is 8640
The reverse of 6265 is 5626
Previous prime number is 7

Basic properties

Is Prime? no
Number parity odd
Number length 4
Sum of Digits 19
Digital Root 1

Name

Name	six thousand two hundred sixty-five

Notation

Scientific notation	6.265 × 10^3
Engineering notation	6.265 × 10^3

Prime Factorization of 6265

Prime Factorization 5 × 7 × 179

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	3	Total number of prime factors
rad	Radical	6265	Product of the distinct prime numbers

The prime factorization of 6265 is 5 × 7 × 179. Since it has a total of 3 prime factors.

Most popular turbo-numbers

5, 4, 57, 69, 449, 133, 8232, 7671, 9372, 53490, 260553, 692974, 8125661, 7831931, 3258876, 78578650, 754610520, 186018007, 8538023810, 1400170843

Basic calculations (n = 6265)

Multiplication

n×y

n×2	12530
n×3	18795
n×4	25060
n×5	31325

Division

n÷y

n÷2	3132.5
n÷3	2088.3333333333
n÷3	1566.25
n÷5	1253

Exponentiation

n^y

n²	39250225
n³	245902659625
n⁴	1540580162550625
n⁵	9.6517347183797E+18

Nth Root

^y√n

²√n	79.15175298122
³√n	18.434881845989
⁴√n	8.8967270937811
⁵√n	5.7462460082409

Divisors of 6265

1, 5, 7, 35, 179, 895, 1253, 6265

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	-6264	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 6265 can be divided by 8 positive divisors. The sum of these divisors (counting 6265) is 1, the average is 0.125.

Base conversion 6265

Base	System	Value
2	Binary	1100001111001
3	Ternary	22121001
4	Quaternary	1201321
5	Quinary	200030
6	Senary	45001
8	Octal	14171
10	Decimal	6265
12	Duodecimal	3761
16	Hexadecimal	1879
20	Vigesimal	fd5
36	Base36	4u1

Cryptographic Hash Functions

md5	b3b25a26a0828ea5d48d8f8aa0d6f9af
sha1	f27e4bad029e8c2a2bf8737bf12439133dd4b977
sha256	58bf62e65034219acf59a32dc4ddfa414a6a9fc369d2f1b72c0cdf1244c18561
sha512	902ca76adef26b4bc603ca5908515da896ecb8ab825b26669309ee23b2cf8e6ee0f103d7b69334737f561270ab20238fb8bbafdf1c665a3f802ad9b960784f43
ripemd-160	2f86c9d14da9c1788f29cc3b7922d8f2ec0d2bf9

6265 as geometric shapes

Circle

Radius = n

Diameter	12530
Circumference	39364.15594948
Area	123308218.51175

Sphere

Radius = n

Volume	1030034651968.1
Surface area	493232874.04699
Circumference	39364.15594948

Square

Length = n

Perimeter	25060
Area	39250225
Diagonal	8860.0479682674

Cube

Length = n

Surface area	235501350
Volume	245902659625
Space diagonal	10851.298309419

Equilateral Triangle

Length = n

Perimeter	18795
Area	16995845.977128
Altitude	5425.6491547095

Triangular Pyramid

Length = n

Surface area	16995845.977128
Volume	28979906355.441
Height	2953.3493227558