Math question: What is the largest prime factor of the number 9906?

To find the largest prime factor of 9906, we start by dividing the number by the smallest prime (2) repeatedly until we obtain a quotient that is no longer divisible by 2. Continuing this process, we divide by the next smallest prime (3), then 5, 7, and so on until we reach the square root of 9906. After this investigation, we discover that the largest prime factor of 9906 is 89. This means that 9906 can be expressed as the product of primes: 2 × 3^2 × 7 × 89.

What is the sum of all the even numbers between 50 and 9906, exclusive?

To find the sum of all even numbers, we need to find the number of even numbers in this range. The smallest even number is 52 and the largest is 9904, so there are (9904-52)/2 + 1 = 4927 even numbers. The sum of a sequence can be found using the formula: sum = (first term + last term) * number of terms / 2. Applying this formula, the sum of all even numbers between 50 and 9906 is (52 + 9904) * 4927 / 2 = 24,472,888.

Math question: What is the sum of the digits in the number 9906 when each digit is raised to the third power and multiplied by its position in the number, starting from the left?

To solve this math problem, we first break down the number 9906. The first digit, 9, is raised to the third power and multiplied by its position (1) to get 9. The second digit, 9, is raised to the third power and multiplied by its position (2) to get 1458. The third digit, 0, is raised to the third power and multiplied by its position (3) to get 0. Finally, the last digit, 6, is raised to the third power and multiplied by its position (4) to get 1296. Adding these results together: 9 + 1458 + 0 + 1296 = 2763. Therefore, the sum of the digits in the number 9906, with each digit raised to the third power and multiplied by its position, is 2763.

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

9906 (number)

9906 is an even 4-digits composite number following 9905 and preceding 9907. In scientific notation, it is written as 9.906 × 10^3. The sum of its digits is 24. It has a total of 4 prime factors and 16 positive divisors. There are 3024 positive integers (up to 9906) that are relatively prime to 9906.

Interesting facts

9906 has 16 divisors, whose sum is 21504
The reverse of 9906 is 6099
Previous prime number is 13

Basic properties

Is Prime? no
Number parity even
Number length 4
Sum of Digits 24
Digital Root 6

Name

Name	nine thousand nine hundred six

Notation

Scientific notation	9.906 × 10^3
Engineering notation	9.906 × 10^3

Prime Factorization of 9906

Prime Factorization 2 × 3 × 13 × 127

Composite number

ω	Distinct Factors	4	Total number of distinct prime factors
Ω	Total Factors	4	Total number of prime factors
rad	Radical	9906	Product of the distinct prime numbers

The prime factorization of 9906 is 2 × 3 × 13 × 127. Since it has a total of 4 prime factors.

Most popular turbo-numbers

7, 10, 50, 39, 908, 70, 8716, 2645, 27793, 33584, 257425, 547156, 315407, 1843908, 18228698, 82248951, 469772485, 491300496, 7914614631, 7088360276

Basic calculations (n = 9906)

Multiplication

n×y

n×2	19812
n×3	29718
n×4	39624
n×5	49530

Division

n÷y

n÷2	4953
n÷3	3302
n÷3	2476.5
n÷5	1981.2

Exponentiation

n^y

n²	98128836
n³	972064249416
n⁴	9629268454714896
n⁵	9.5387533312406E+19

Nth Root

^y√n

²√n	99.52889027815
³√n	21.476628650859
⁴√n	9.9764167053181
⁵√n	6.2976665923955

Divisors of 9906

1, 2, 3, 6, 13, 26, 39, 78, 127, 254, 381, 762, 1651, 3302, 4953, 9906

16 divisors

τ	Total Divisors	16	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-9905	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.0625	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	16	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 9906 can be divided by 16 positive divisors. The sum of these divisors (counting 9906) is 1, the average is 0.0625.

Base conversion 9906

Base	System	Value
2	Binary	10011010110010
3	Ternary	111120220
4	Quaternary	2122302
5	Quinary	304111
6	Senary	113510
8	Octal	23262
10	Decimal	9906
12	Duodecimal	5896
16	Hexadecimal	26b2
20	Vigesimal	14f6
36	Base36	7n6

Cryptographic Hash Functions

md5	c5383525e91474a4e5d7dcfee92c054f
sha1	b880402aefea52fe1b61eb930d560aa4797ed812
sha256	5c55727a2c101dee0df87b2f48068a8d76a392df7961cdd64327315a4219f233
sha512	df917ffb04cced2439e4d18d923923978cebf3fda639106341b302706320d45031139c7ddf8ca3d4408fc9054f81067b71107224fb02447baaf00441524b0e7a
ripemd-160	127de5e292f2c902dfe4fa211d3a72e0d53bb68d

9906 as geometric shapes

Circle

Radius = n

Diameter	19812
Circumference	62241.233652921
Area	308280830.28292

Sphere

Radius = n

Volume	4071773206376.8
Surface area	1233123321.1317
Circumference	62241.233652921

Square

Length = n

Perimeter	39624
Area	98128836
Diagonal	14009.199548868

Cube

Length = n

Surface area	588773016
Volume	972064249416
Space diagonal	17157.695299777

Equilateral Triangle

Length = n

Perimeter	29718
Area	42491032.409898
Altitude	8578.8476498886

Triangular Pyramid

Length = n

Surface area	42491032.409898
Volume	114558870418.51
Height	4669.733182956