Question: What is the sum of the digits of the number obtained by multiplying 9975 by the square root of 10,000?

To find the sum, we first calculate 9975 multiplied by the square root of 10,000, which is 99. Then, adding the digits of 99 (9 + 9), we get the sum as 18.

Math Question: What is the sum of all the odd numbers from 1 to 9975, inclusive? OR Math Question: How many prime numbers are there between 1 and 9975?

The sum of all odd numbers from 1 to 9975 can be calculated using the arithmetic series formula: Sn = (n/2)(first_term + last_term), where n is the number of terms. The first odd number is 1 and the last odd number is 9975. Therefore, Sn = (n/2)(1 + 9975) = (n/2)(9976). To find n, we use the formula n = (last_term - first_term) / 2 + 1, which gives us n = (9975 - 1) / 2 + 1 = 4988. Plugging this value into the sum formula, we find Sn = (4988/2)(9976) = 2494 * 9976 = 24,850,064. OR There are multiple ways to determine the number of prime numbers between 1 and 9975, but one approach is using the sieve of Eratosthenes. By applying this method, we can create a list of prime numbers up to 9975, counting each prime number. After sieving out all the composite numbers, we find that there are 1229 prime numbers between 1 and 9975.

What is the product when 9975 is multiplied by its decimal representation?

The product of multiplying 9975 by 0.9975 is 9944259.375.

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

9975 (number)

9975 is an odd 4-digits composite number following 9974 and preceding 9976. In scientific notation, it is written as 9.975 × 10^3. The sum of its digits is 30. It has a total of 3 prime factors and 8 positive divisors. There are 4320 positive integers (up to 9975) that are relatively prime to 9975.

Interesting facts

9975 has 8 divisors, whose sum is 12720
The reverse of 9975 is 5799
Previous prime number is 5

Basic properties

Is Prime? no
Number parity odd
Number length 4
Sum of Digits 30
Digital Root 3

Name

Name	nine thousand nine hundred seventy-five

Notation

Scientific notation	9.975 × 10^3
Engineering notation	9.975 × 10^3

Prime Factorization of 9975

Prime Factorization 105 × 5 × 19

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	3	Total number of prime factors
rad	Radical	9975	Product of the distinct prime numbers

The prime factorization of 9975 is 105 × 5 × 19. Since it has a total of 3 prime factors.

Most popular turbo-numbers

9, 2, 68, 83, 907, 575, 594, 3454, 23820, 40764, 651968, 774121, 8643529, 308944, 97356460, 44353677, 663231353, 498640987, 1909261753, 8397598481

Basic calculations (n = 9975)

Multiplication

n×y

n×2	19950
n×3	29925
n×4	39900
n×5	49875

Division

n÷y

n÷2	4987.5
n÷3	3325
n÷3	2493.75
n÷5	1995

Exponentiation

n^y

n²	99500625
n³	992518734375
n⁴	9900374375390625
n⁵	9.8756234394521E+19

Nth Root

^y√n

²√n	99.874921777191
³√n	21.526378295736
⁴√n	9.9937441320654
⁵√n	6.3064154985523

Divisors of 9975

1, 5, 19, 95, 105, 525, 1995, 9975

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	-9974	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 9975 can be divided by 8 positive divisors. The sum of these divisors (counting 9975) is 1, the average is 0.125.

Base conversion 9975

Base	System	Value
2	Binary	10011011110111
3	Ternary	111200110
4	Quaternary	2123313
5	Quinary	304400
6	Senary	114103
8	Octal	23367
10	Decimal	9975
12	Duodecimal	5933
16	Hexadecimal	26f7
20	Vigesimal	14if
36	Base36	7p3

Cryptographic Hash Functions

md5	0197fcd95060131d9bc5e564f842ed53
sha1	8d66211c25614c9ff9843ae858e7703fbf6249b3
sha256	eec957ed8f011070901be1ea41bed631ba581e488c97730e5b20f0b3fae84c8a
sha512	1b17addce951a1f66c665df19bb656825265030186bb8b7fbe622b78c1a6ecfbe42a6c520ae90f892de979a72ff48cbdaca1b98715521c49dedbec38e71c259a
ripemd-160	7a95b53db7d9bf6a1e22ad595cdca6b336ec090f

9975 as geometric shapes

Circle

Radius = n

Diameter	19950
Circumference	62674.773439116
Area	312590432.52759

Sphere

Radius = n

Volume	4157452752617
Surface area	1250361730.1104
Circumference	62674.773439116

Square

Length = n

Perimeter	39900
Area	99500625
Diagonal	14106.780284672

Cube

Length = n

Surface area	597003750
Volume	992518734375
Space diagonal	17277.2068055

Equilateral Triangle

Length = n

Perimeter	29925
Area	43085034.471215
Altitude	8638.6034027498

Triangular Pyramid

Length = n

Surface area	43085034.471215
Volume	116969454588.54
Height	4702.2600948905