Math question: How many prime numbers are there between 9970 and 9970+200?

To find the prime numbers between 9970 and 9970+200, we start by listing all the numbers in this range: 9970, 9971, 9972, ..., 10169, 10170. Checking each number for divisibility by all integers up to its square root, we find that 9971 and 10007 are prime numbers in this range. Therefore, there are 2 prime numbers between 9970 and 9970+200.

Math Question: What is the remainder when 9970 is divided by 37?

To find the remainder, we divide 9970 by 37. Dividing 9970 by 37 yields a quotient of 269 and a remainder of 5. Therefore, the remainder when 9970 is divided by 37 is 5.

Math Question: What is the sum of the first 50 multiple of 9970?

To find the sum of the first 50 multiples of 9970, we need to calculate the arithmetic series. The formula for the sum of an arithmetic series is Sn = (n/2)(2a + (n-1)d), where Sn is the sum, n is the number of terms, a is the first term, and d is the common difference. In this case, a = 9970, n = 50, and d = 9970. Plugging in these values, we get Sn = (50/2)(2(9970) + (50-1)(9970)) = 25(2(9970) + 49(9970)) = 25(19940 + 488330) = 25(508270) = 12706750. Therefore, the sum of the first 50 multiples of 9970 is 12,706,750.

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

9970 (number)

9970 is an even 4-digits composite number following 9969 and preceding 9971. In scientific notation, it is written as 9.970 × 10^3. The sum of its digits is 25. It has a total of 3 prime factors and 8 positive divisors. There are 3984 positive integers (up to 9970) that are relatively prime to 9970.

Interesting facts

9970 has 8 divisors, whose sum is 17964
The reverse of 9970 is 0799
Previous prime number is 5

Basic properties

Is Prime? no
Number parity even
Number length 4
Sum of Digits 25
Digital Root 7

Name

Name	nine thousand nine hundred seventy

Notation

Scientific notation	9.970 × 10^3
Engineering notation	9.970 × 10^3

Prime Factorization of 9970

Prime Factorization 2 × 5 × 997

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	3	Total number of prime factors
rad	Radical	9970	Product of the distinct prime numbers

The prime factorization of 9970 is 2 × 5 × 997. Since it has a total of 3 prime factors.

Most popular turbo-numbers

9, 2, 65, 23, 178, 506, 7434, 7949, 69617, 3352, 299823, 659789, 6239819, 8107128, 96620190, 72480625, 987083838, 203823061, 4895147051, 2425266246

Basic calculations (n = 9970)

Multiplication

n×y

n×2	19940
n×3	29910
n×4	39880
n×5	49850

Division

n÷y

n÷2	4985
n÷3	3323.3333333333
n÷3	2492.5
n÷5	1994

Exponentiation

n^y

n²	99400900
n³	991026973000
n⁴	9880538920810000
n⁵	9.8508973040476E+19

Nth Root

^y√n

²√n	99.849887330933
³√n	21.522780973092
⁴√n	9.9924915477039
⁵√n	6.3057831496478

Divisors of 9970

1, 2, 5, 10, 997, 1994, 4985, 9970

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	-9969	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 9970 can be divided by 8 positive divisors. The sum of these divisors (counting 9970) is 1, the average is 0.125.

Base conversion 9970

Base	System	Value
2	Binary	10011011110010
3	Ternary	111200021
4	Quaternary	2123302
5	Quinary	304340
6	Senary	114054
8	Octal	23362
10	Decimal	9970
12	Duodecimal	592a
16	Hexadecimal	26f2
20	Vigesimal	14ia
36	Base36	7oy

Cryptographic Hash Functions

md5	3384ace9a48c23d689f347236c7ab49a
sha1	9f0f6b4c5f8daaefd3729c9742c85efc6da14b70
sha256	ee12444e5175d3a65472e217a4be0311a87d2f1d065e764242ba7a667e4fb523
sha512	5c049c86daca3e5953ca573e394351cd5a6a562dc4b4d365725fcf26ed706fbe116d95853fd8af11cfcc2f2cdbc82491700a5b57e5be423468b41199b44e178f
ripemd-160	2ca75f42ee5ebf9a58581a1e7e119a593b1ec57e

9970 as geometric shapes

Circle

Radius = n

Diameter	19940
Circumference	62643.35751258
Area	312277137.20021

Sphere

Radius = n

Volume	4151204077181.5
Surface area	1249108548.8009
Circumference	62643.35751258

Square

Length = n

Perimeter	39880
Area	99400900
Diagonal	14099.70921686

Cube

Length = n

Surface area	596405400
Volume	991026973000
Space diagonal	17268.546551462

Equilateral Triangle

Length = n

Perimeter	29910
Area	43041852.279518
Altitude	8634.2732757309

Triangular Pyramid

Length = n

Surface area	43041852.279518
Volume	116793648824.51
Height	4699.9030722866