Math question: What is the sum of the digits of the number 9932 when squared, then divided by the product of its digits, and multiplied by the square root of its largest prime factor?

First, let's calculate the square of 9932, which equals 98659524. The sum of its digits is 9 + 8 + 6 + 5 + 9 + 5 + 2 + 4 = 48. The product of its digits is 9 * 9 * 3 * 2 = 486. The largest prime factor of 9932 is 3, so the square root of 3 is approximately 1.732. Now, we can divide the sum of digits squared (48^2 = 2304) by the product of digits (486) and then multiply by the square root of its largest prime factor (1.732). Therefore, our final answer is (2304/486) * 1.732 ≈ 8.666.

Math question: What is the sum of the digits in the number 9932?

To find the sum of the digits, we add each individual digit in the number. In 9932, the digit 9 + 9 + 3 + 2 equals 23. Therefore, the sum of the digits in the number 9932 is 23. Taking the digits 9, 9, 3, and 2, and adding them together yields a sum of 23, reflecting the individual values within the number 9932.

Question: 9932 is divided by a two-digit prime number. The quotient is then added to the product of the two digits in the original number. If the sum obtained is tripled and subtracted from the original number, what is the resulting value?

Let's assume the two-digit prime number is ab, where a and b represent the tens and units digits, respectively. Given that ab divides 9932, we can write the equation: 9932 = ab * c, where c is an integer. To find the value of c, we need to divide 9932 by all two-digit prime numbers and check which one yields an integer quotient. The prime numbers between 10 and 99 are 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97. By trying each of these prime numbers, we find that 61 is the only prime number that divides 9932 resulting in an integer quotient: 9932 = 61 * 162. Now, the product of the digits a and b is ab = a * b. In our case, a = 6 and b = 1, so ab = 6 * 1 = 6. The sum of the quotient (162) and the product of the digits (6) is: 162 + 6 = 168. Triple this sum, we get: 3 * 168 = 504. Finally, subtracting 504 from the original number 9932, the resulting value is: 9932 - 504 = 9428. Therefore, based on the given conditions, the resulting value is 9428.

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

9932 (number)

9932 is an even 4-digits composite number following 9931 and preceding 9933. In scientific notation, it is written as 9.932 × 10^3. The sum of its digits is 23. It has a total of 4 prime factors and 12 positive divisors. There are 4560 positive integers (up to 9932) that are relatively prime to 9932.

Interesting facts

9932 has 12 divisors, whose sum is 18816
The reverse of 9932 is 2399
Previous prime number is 13

Basic properties

Is Prime? no
Number parity even
Number length 4
Sum of Digits 23
Digital Root 5

Name

Name	nine thousand nine hundred thirty-two

Notation

Scientific notation	9.932 × 10^3
Engineering notation	9.932 × 10^3

Prime Factorization of 9932

Prime Factorization 2 × 2 × 13 × 191

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	4	Total number of prime factors
rad	Radical	4966	Product of the distinct prime numbers

The prime factorization of 9932 is 2 × 2 × 13 × 191. Since it has a total of 4 prime factors.

Most popular turbo-numbers

5, 6, 25, 35, 732, 228, 1219, 5953, 36197, 16989, 959894, 235458, 2735224, 5441956, 19236845, 40548901, 275149842, 598859924, 3003468258, 5223195851

Basic calculations (n = 9932)

Multiplication

n×y

n×2	19864
n×3	29796
n×4	39728
n×5	49660

Division

n÷y

n÷2	4966
n÷3	3310.6666666667
n÷3	2483
n÷5	1986.4

Exponentiation

n^y

n²	98644624
n³	979738405568
n⁴	9730761844101376
n⁵	9.6645926635615E+19

Nth Root

^y√n

²√n	99.659420026408
³√n	21.49540193721
⁴√n	9.982956477237
⁵√n	6.3009689888585

Divisors of 9932

1, 2, 4, 13, 26, 52, 191, 382, 764, 2483, 4966, 9932

12 divisors

τ	Total Divisors	12	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-9931	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.083333333333333	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	12	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 9932 can be divided by 12 positive divisors. The sum of these divisors (counting 9932) is 1, the average is 0.083333333333333.

Base conversion 9932

Base	System	Value
2	Binary	10011011001100
3	Ternary	111121212
4	Quaternary	2123030
5	Quinary	304212
6	Senary	113552
8	Octal	23314
10	Decimal	9932
12	Duodecimal	58b8
16	Hexadecimal	26cc
20	Vigesimal	14gc
36	Base36	7nw

Cryptographic Hash Functions

md5	4ef2f8259495563cb3a8ea4449ec4f9f
sha1	d3cb08aad830d8ec97a120108b0789066008cf7d
sha256	587376aae9d80daf070bcd9ea99cb200043fec68fc974b1a7376be4a5d00e55d
sha512	e168ab4b79da93be322a42190b87aeae5623f1637d9fa4fa7a42d52dc7461cc8f5a3318ae1220957514d8866114828766d04b84656443e112004449c26b5a129
ripemd-160	5a2da90b715fac764adedc5e7d8746d434276cd0

9932 as geometric shapes

Circle

Radius = n

Diameter	19864
Circumference	62404.596470908
Area	309901226.07453

Sphere

Radius = n

Volume	4103918636496.3
Surface area	1239604904.2981
Circumference	62404.596470908

Square

Length = n

Perimeter	39728
Area	98644624
Diagonal	14045.96910149

Cube

Length = n

Surface area	591867744
Volume	979738405568
Space diagonal	17202.728620774

Equilateral Triangle

Length = n

Perimeter	29796
Area	42714375.165382
Altitude	8601.364310387

Triangular Pyramid

Length = n

Surface area	42714375.165382
Volume	115463278394.34
Height	4681.9897004965