What is the largest prime number that can be evenly divided by the sum of its digits multiplied by 3 and its ones digit squared subtracted from the hundreds digit?

The largest prime number that satisfies the given conditions is 967. Explanation: To solve this question, we need to break down the number 9670 into its individual digits. The hundreds digit is 9, the tens digit is 6, and the ones digit is 7. Now, we calculate the sum of the digits, which is 9 + 6 + 7 = 22. Next, we multiply this sum by 3, yielding 22 × 3 = 66. Finally, we subtract the squared value of the ones digit (7² = 49) from the hundreds digit (9): 9 - 49 = -40. Since we want a positive value, we discard the negative sign and consider 40 as our final result. Hence, we need to find a prime number that is evenly divisible by 66 and also equals 40. The largest prime number satisfying this condition is 967.

Math question: What is the largest prime factor of the number 9670?

To find the largest prime factor of 9670, we can start by finding its prime factorization. First, we divide 9670 by the smallest prime number, 2, resulting in 4835. Continuing, we find that 4835 is divisible by 5, giving us 967. Next, dividing 967 by 7 gives us 138 remainder 1. Further, we observe that 138 divides evenly by 2, giving us 69. Finally, dividing 69 by 3 results in 23. Thus, the prime factorization of 9670 is 2 × 5 × 7 × 23. The largest prime factor is 23.

What is the sum of the digits of the number 9670 multiplied by the square root of its units digit, then divided by the sum of its tens and hundreds digits, added to the product of its thousands digit and the cube root of its tens digit, minus the difference between its hundreds and units digits, divided by its thousands digit?

To solve this, we first find the sum of the digits of 9670, which is 9 + 6 + 7 + 0 = 22. Next, we calculate the square root of the units digit, which is √0 = 0. Then we find the sum of the tens and hundreds digits, which is 6 + 7 = 13. Dividing the product of the sum of digits and the square root of the units digit by the sum of tens and hundreds digits, we get 22 * 0 / 13 = 0. Next, we find the product of the thousands digit (9) and the cube root of the tens digit (∛6). So, 9 * ∛6 ≈ 9 * 1.817 ≈ 16.352. Finally, we calculate the difference between the hundreds and units digits (7 - 0 = 7), and divide it by the thousands digit (9). So, 7 / 9 ≈ 0.778. Now we add the result from the product of thousands and cube root to the division result from the difference between hundreds and units. Thus, 16.352 + 0.778 = 17.13. Therefore, the final answer to the math question is 17.13.

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

9670 (number)

9670 is an even 4-digits composite number following 9669 and preceding 9671. In scientific notation, it is written as 9.670 × 10^3. The sum of its digits is 22. It has a total of 3 prime factors and 8 positive divisors. There are 3864 positive integers (up to 9670) that are relatively prime to 9670.

Interesting facts

9670 has 8 divisors, whose sum is 17424
The reverse of 9670 is 0769
Previous prime number is 5

Basic properties

Is Prime? no
Number parity even
Number length 4
Sum of Digits 22
Digital Root 4

Name

Name	nine thousand six hundred seventy

Notation

Scientific notation	9.670 × 10^3
Engineering notation	9.670 × 10^3

Prime Factorization of 9670

Prime Factorization 2 × 5 × 967

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	3	Total number of prime factors
rad	Radical	9670	Product of the distinct prime numbers

The prime factorization of 9670 is 2 × 5 × 967. Since it has a total of 3 prime factors.

Most popular turbo-numbers

5, 3, 17, 40, 482, 180, 5640, 5122, 21433, 77219, 477215, 757206, 2264109, 2007592, 43058192, 87090055, 712819398, 303554990, 9778333605, 1923334700

Basic calculations (n = 9670)

Multiplication

n×y

n×2	19340
n×3	29010
n×4	38680
n×5	48350

Division

n÷y

n÷2	4835
n÷3	3223.3333333333
n÷3	2417.5
n÷5	1934

Exponentiation

n^y

n²	93508900
n³	904231063000
n⁴	8743914379210000
n⁵	8.4553652046961E+19

Nth Root

^y√n

²√n	98.336158151516
³√n	21.304703348346
⁴√n	9.9164589522428
⁵√n	6.267369428271

Divisors of 9670

1, 2, 5, 10, 967, 1934, 4835, 9670

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	-9669	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 9670 can be divided by 8 positive divisors. The sum of these divisors (counting 9670) is 1, the average is 0.125.

Base conversion 9670

Base	System	Value
2	Binary	10010111000110
3	Ternary	111021011
4	Quaternary	2113012
5	Quinary	302140
6	Senary	112434
8	Octal	22706
10	Decimal	9670
12	Duodecimal	571a
16	Hexadecimal	25c6
20	Vigesimal	143a
36	Base36	7gm

Cryptographic Hash Functions

md5	8c74b88f3daf0f4f918d501c1f90ac2f
sha1	a78e81b7b61294a9c58a3f70e07fdf403c50f65d
sha256	88f8808ea2ac9ede64a60f39b47e475328b4077d7f811ae209dc269dba024649
sha512	1a34a06f3e8a62075d4f99f365716278d8728fe9c87fa94f590ffa0bcdc801d121ff21c74453e61c28a3c540380d312e1fbee58ecde2203a39a0dca99a4094e2
ripemd-160	99913bde20cd6b7500f53a4c22539c650fdc1eca

9670 as geometric shapes

Circle

Radius = n

Diameter	19340
Circumference	60758.401920427
Area	293766873.28526

Sphere

Radius = n

Volume	3787634219558
Surface area	1175067493.1411
Circumference	60758.401920427

Square

Length = n

Perimeter	38680
Area	93508900
Diagonal	13675.445148148

Cube

Length = n

Surface area	561053400
Volume	904231063000
Space diagonal	16748.931309191

Equilateral Triangle

Length = n

Perimeter	29010
Area	40490541.439969
Altitude	8374.4656545955

Triangular Pyramid

Length = n

Surface area	40490541.439969
Volume	106564652734.47
Height	4558.4817160493