Math question: How many even numbers are there between 1000 and 6000, inclusive?

To find the number of even numbers between 1000 and 6000, we need to determine the range of valid digits for each place value. In the thousands place, the options are 1-5 (since 6 would exceed 6000), giving us 5 choices. For the hundreds, tens, and units places, there are 10 possible digits (0-9) in each. Thus, there are 5 * 10 * 10 * 10 = 5000 possible four-digit numbers. For each of these numbers, the units place can be 0, 2, 4, 6, or 8, resulting in 5 choices. Thus, the total count is 5000 * 5 = 25000 even numbers between 1000 and 6000, inclusive.

What is the smallest prime number that is a multiple of 5322? Explain why this number is prime.

The smallest prime number that is a multiple of 5322 is 5323. To prove its primality, we can use the divisibility rules. Starting from 2, we notice that 5323 is not divisible by any number up to its square root (√5323 ≈ 72.97). Thus, any potential factors of 5323 would have to be larger than 72.97. Checking the numbers 73, 74, 75, etc., we can conclude that none of them divide 5323 evenly. Therefore, since 5323 has no factors other than 1 and itself, it qualifies as a prime number.

Math question: What is the sum of the digits of 5322 multiplied by the quotient of 5322 divided by the square root of 5322 plus the remainder when 5322 is divided by 7?

To find the sum of the digits of 5322, we add 5 + 3 + 2 + 2, which equals 12. Now, let's calculate the quotient of 5322 divided by the square root of 5322, which is √5322 ≈ 72.957. When we divide 5322 by √5322, we get approximately 72.957. Next, we find the remainder when 5322 is divided by 7, which is 5322 mod 7 = 1. Finally, we multiply our previous results: 12 × (5322 ÷ 72.957) + 1 = 700.062 + 1 = 701.062 as the answer.

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

5322 (number)

5322 is an even 4-digits composite number following 5321 and preceding 5323. In scientific notation, it is written as 5.322 × 10^3. The sum of its digits is 12. It has a total of 3 prime factors and 8 positive divisors. There are 1772 positive integers (up to 5322) that are relatively prime to 5322.

Interesting facts

5322 has 8 divisors, whose sum is 10656
The reverse of 5322 is 2235
Previous prime number is 3

Basic properties

Is Prime? no
Number parity even
Number length 4
Sum of Digits 12
Digital Root 3

Name

Name	five thousand three hundred twenty-two

Notation

Scientific notation	5.322 × 10^3
Engineering notation	5.322 × 10^3

Prime Factorization of 5322

Prime Factorization 2 × 3 × 887

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	3	Total number of prime factors
rad	Radical	5322	Product of the distinct prime numbers

The prime factorization of 5322 is 2 × 3 × 887. Since it has a total of 3 prime factors.

Most popular turbo-numbers

9, 6, 88, 7, 369, 691, 6008, 254, 55957, 14074, 445015, 715190, 1904388, 4209723, 29446259, 88100284, 73090210, 195135469, 6667626360, 302000691

Basic calculations (n = 5322)

Multiplication

n×y

n×2	10644
n×3	15966
n×4	21288
n×5	26610

Division

n÷y

n÷2	2661
n÷3	1774
n÷3	1330.5
n÷5	1064.4

Exponentiation

n^y

n²	28323684
n³	150738646248
n⁴	802231075331856
n⁵	4269473782916137632

Nth Root

^y√n

²√n	72.952039039358
³√n	17.459224794975
⁴√n	8.5411965812384
⁵√n	5.5617949578449

Divisors of 5322

1, 2, 3, 6, 887, 1774, 2661, 5322

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	-5321	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 5322 can be divided by 8 positive divisors. The sum of these divisors (counting 5322) is 1, the average is 0.125.

Base conversion 5322

Base	System	Value
2	Binary	1010011001010
3	Ternary	21022010
4	Quaternary	1103022
5	Quinary	132242
6	Senary	40350
8	Octal	12312
10	Decimal	5322
12	Duodecimal	30b6
16	Hexadecimal	14ca
20	Vigesimal	d62
36	Base36	43u

Cryptographic Hash Functions

md5	a4a8a31750a23de2da88ef6a491dfd5c
sha1	f92378acbe5151c95d76c38716e617cdd44bec1c
sha256	44735af7202cd534e650899eb3966d5dfc936c93ee4587a58782e928021259fd
sha512	bbe030bbda0ca79fcbafaaf8f9dad9fcb1fe726df3d09ee1f77acd45b7daf4f70fd702833e69793b3023b303c7fdd5e875d1c35a75fa7c8cfbc5b12364235860
ripemd-160	b9804b00efb7119d7c4915c616cb8a8ac75b3b9b

5322 as geometric shapes

Circle

Radius = n

Diameter	10644
Circumference	33439.11220481
Area	88981477.576999

Sphere

Radius = n

Volume	631412564886.38
Surface area	355925910.308
Circumference	33439.11220481

Square

Length = n

Perimeter	21288
Area	28323684
Diagonal	7526.4445789496

Cube

Length = n

Surface area	169942104
Volume	150738646248
Space diagonal	9217.9743978816

Equilateral Triangle

Length = n

Perimeter	15966
Area	12264514.936381
Altitude	4608.9871989408

Triangular Pyramid

Length = n

Surface area	12264514.936381
Volume	17764719824.807
Height	2508.8148596499