Math question: What is the sum of the digits of the number 6984 when the digits are squared and then multiplied by their respective positions (ones, tens, hundreds, and thousands)?

To find the sum, first square each digit: 6² + 9² + 8² + 4² = 36 + 81 + 64 + 16 = 197. Then multiply each squared digit by its position: 6×1 + 9×10 + 8×100 + 4×1000 = 6 + 90 + 800 + 4000 = 4896. Thus, the sum is 197 when the digits of 6984 are squared and multiplied by their positions.

Math Question: Find the number of unique permutations that can be formed using the digits 6, 9, 8, and 4.

To find the number of unique permutations, we can use the formula for permutations of items with repeated elements. The number of repetitions for digit 6 is 2, 9 is 1, 8 is 1, and 4 is 1. Therefore, the total number of unique permutations is given by: (4!) / (2! * 1! * 1! * 1!) = (4 * 3 * 2 * 1) / (2 * 1 * 1 * 1) = 24 / 2 = 12. Thus, there are 12 unique permutations of the digits 6, 9, 8, and 4.

Question: What is the average of the sum of the digits of the number 6984 raised to the power of its last digit, divided by the square root of the product of its first two digits?

To solve this, we start by finding the sum of the digits of 6984, which is 6 + 9 + 8 + 4 = 27. Next, we raise this sum to the power of the last digit of 6984, which is 4. So, 27^4 = 531,441. Moving on, we find the product of the first two digits of 6984, which is 6 × 9 = 54. Hence, the square root of 54 is approximately 7.348. Finally, we divide 531,441 by 7.348, giving us an average of approximately 72,376.019. Hence, the answer is 72,376.019.

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

6984 (number)

6984 is an even 4-digits composite number following 6983 and preceding 6985. In scientific notation, it is written as 6.984 × 10^3. The sum of its digits is 27. It has a total of 5 prime factors and 16 positive divisors. There are 2304 positive integers (up to 6984) that are relatively prime to 6984.

Interesting facts

6984 has 16 divisors, whose sum is 14700
The reverse of 6984 is 4896
Previous prime number is 9

Basic properties

Is Prime? no
Number parity even
Number length 4
Sum of Digits 27
Digital Root 9

Name

Name	six thousand nine hundred eighty-four

Notation

Scientific notation	6.984 × 10^3
Engineering notation	6.984 × 10^3

Prime Factorization of 6984

Prime Factorization 2 × 2 × 2 × 9 × 97

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	5	Total number of prime factors
rad	Radical	1746	Product of the distinct prime numbers

The prime factorization of 6984 is 2 × 2 × 2 × 9 × 97. Since it has a total of 5 prime factors.

Most popular turbo-numbers

9, 3, 9, 64, 833, 90, 2145, 8151, 4954, 92732, 940399, 147973, 6707559, 6533590, 7964483, 91582756, 3880188, 165695687, 1750613902, 8126631268

Basic calculations (n = 6984)

Multiplication

n×y

n×2	13968
n×3	20952
n×4	27936
n×5	34920

Division

n÷y

n÷2	3492
n÷3	2328
n÷3	1746
n÷5	1396.8

Exponentiation

n^y

n²	48776256
n³	340653371904
n⁴	2379123149377536
n⁵	1.6615796075253E+19

Nth Root

^y√n

²√n	83.570329663105
³√n	19.114725995284
⁴√n	9.1416808992168
⁵√n	5.8724705315927

Divisors of 6984

1, 2, 4, 8, 9, 18, 36, 72, 97, 194, 388, 776, 873, 1746, 3492, 6984

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	-6983	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 6984 can be divided by 16 positive divisors. The sum of these divisors (counting 6984) is 1, the average is 0.0625.

Base conversion 6984

Base	System	Value
2	Binary	1101101001000
3	Ternary	100120200
4	Quaternary	1231020
5	Quinary	210414
6	Senary	52200
8	Octal	15510
10	Decimal	6984
12	Duodecimal	4060
16	Hexadecimal	1b48
20	Vigesimal	h94
36	Base36	5e0

Cryptographic Hash Functions

md5	d6539d3b57159babf6a72e106beb45bd
sha1	7300cc41b7d390e645b6cbb2369487cdca758b17
sha256	0351a84be4abb9c01ccb9a423f06b7971e6b460039a2157343168ac5d21e3a94
sha512	dc5b1622f8e5bc2ac32c098b30043d801388e05d72755793bad7e3124870d928575dfb5c8a7d6f7bca1069917fea1f13ac34fd5c3a77801ed37d017dea7bd32d
ripemd-160	f0c49efeebfa4f6a41471a41a22ed06777b9b6f4

6984 as geometric shapes

Circle

Radius = n

Diameter	13968
Circumference	43881.766185342
Area	153235127.51922

Sphere

Radius = n

Volume	1426925507458.9
Surface area	612940510.07686
Circumference	43881.766185342

Square

Length = n

Perimeter	27936
Area	48776256
Diagonal	9876.8675196137

Cube

Length = n

Surface area	292657536
Volume	340653371904
Space diagonal	12096.642840061

Equilateral Triangle

Length = n

Perimeter	20952
Area	21120738.398747
Altitude	6048.3214200305

Triangular Pyramid

Length = n

Surface area	21120738.398747
Volume	40146384884.564
Height	3292.2891732046