Math question: Determine the sum of the digits of 9993 when squared, multiplied by 3, and finally, subtracted by 1. How many even numbers are factors of this result?

To find the sum of the digits of 9993^2, we have (9+9+9+3)^2 = 30^2 = 900. Multiplying by 3, we get 900 * 3 = 2700. Finally, subtracting 1 yields 2700 - 1 = 2699. This number's factors are (1, 17, 59, 2699), of which only 2 is even. Therefore, there is one even number that is a factor of 2699.

Math question: What is the remainder when the number 9993 is divided by 7?

To find the remainder, we use the concept of modular arithmetic. Since 9993 = 1427 * 7 + 4, the remainder when 9993 is divided by 7 is 4. In other words, 9993 is 4 more than the closest multiple of 7 less than or equal to it. Modular arithmetic reveals important properties of numbers and their relationships to divisors, remainders, and multiples, providing insights into patterns and the behavior of numbers in different contexts.

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

9993 (number)

9993 is an odd 4-digits composite number following 9992 and preceding 9994. In scientific notation, it is written as 9.993 × 10^3. The sum of its digits is 30. It has a total of 2 prime factors and 4 positive divisors. There are 6660 positive integers (up to 9993) that are relatively prime to 9993.

Interesting facts

9993 has 4 divisors, whose sum is 13328
The reverse of 9993 is 3999
Previous prime number is 3

Basic properties

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

Name

Name	nine thousand nine hundred ninety-three

Notation

Scientific notation	9.993 × 10^3
Engineering notation	9.993 × 10^3

Prime Factorization of 9993

Prime Factorization 3 × 3331

Composite number

ω	Distinct Factors	2	Total number of distinct prime factors
Ω	Total Factors	2	Total number of prime factors
rad	Radical	9993	Product of the distinct prime numbers

The prime factorization of 9993 is 3 × 3331. Since it has a total of 2 prime factors.

Most popular turbo-numbers

6, 4, 79, 1, 360, 477, 4968, 5436, 70107, 92280, 808863, 267143, 1691549, 9454774, 31275094, 61120371, 396855568, 461505236, 3674737278, 4092598767

Basic calculations (n = 9993)

Multiplication

n×y

n×2	19986
n×3	29979
n×4	39972
n×5	49965

Division

n÷y

n÷2	4996.5
n÷3	3331
n÷3	2498.25
n÷5	1998.6

Exponentiation

n^y

n²	99860049
n³	997901469657
n⁴	9972029386282401
n⁵	9.965048965712E+19

Nth Root

^y√n

²√n	99.964993872855
³√n	21.539318712616
⁴√n	9.9982495404373
⁵√n	6.3086898570805

Divisors of 9993

1, 3, 3331, 9993

4 divisors

τ	Total Divisors	4	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-9992	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.25	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	4	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 9993 can be divided by 4 positive divisors. The sum of these divisors (counting 9993) is 1, the average is 0.25.

Base conversion 9993

Base	System	Value
2	Binary	10011100001001
3	Ternary	111201010
4	Quaternary	2130021
5	Quinary	304433
6	Senary	114133
8	Octal	23411
10	Decimal	9993
12	Duodecimal	5949
16	Hexadecimal	2709
20	Vigesimal	14jd
36	Base36	7pl

Cryptographic Hash Functions

md5	8af141d3c5a5146a3eac9d166ab4c458
sha1	344c060c5a55729d675162166d289e7bbeeb1e33
sha256	8f7fe557bf81f8ce973f01d29924684e716a2847f9699d59138de16d10eeb873
sha512	dca4be030934a29c0786962456c3afae9b0843c76d510e557902b56477b5c0321f451d7996eabbdacc75fa30cfee8d02b5d77dc49a76ab72ffb7b2df1ba69116
ripemd-160	c98c37723b7159741ab3a71468a3dfb8aeef3ce4

9993 as geometric shapes

Circle

Radius = n

Diameter	19986
Circumference	62787.870774646
Area	313719596.32552

Sphere

Radius = n

Volume	4179999901441.2
Surface area	1254878385.3021
Circumference	62787.870774646

Square

Length = n

Perimeter	39972
Area	99860049
Diagonal	14132.236128794

Cube

Length = n

Surface area	599160294
Volume	997901469657
Space diagonal	17308.383720036

Equilateral Triangle

Length = n

Perimeter	29979
Area	43240669.628579
Altitude	8654.1918600179

Triangular Pyramid

Length = n

Surface area	43240669.628579
Volume	117603816025.08
Height	4710.7453762648