What is the largest prime number that is a multiple of 9948?

To find the largest prime number that is a multiple of 9948, we can start by checking if 9948 itself is prime. Since it is an even number, we know it is divisible by 2. Hence, it is not a prime number. Next, we divide 9948 by the largest prime number less than its square root, which is 97. After performing the division, we find that the quotient is 102.74. Therefore, 9948 is a multiple of 97. Now, we need to check if 97 is prime. By dividing 97 by all prime numbers less than its square root, which are 2, 3, 5, and 7, we find that it is not divisible. Hence, 97 is a prime number and the largest prime factor of 9948. Therefore, the answer is 97.

Math question: What is the sum of the factors of 9948?

To find the sum of the factors, we first prime factorize 9948. It can be written as 2^2 × 3 × 829. Now, 9948 has four factors: 1, 2, 3, 829. Adding them together, we get 1 + 2 + 3 + 829 = 835. Therefore, the sum of the factors of 9948 is 835.

Math Question: If all the digits in the number 9948 are multiplied together, what is the result?

When multiplying the digits 9, 9, 4, and 8 together, we get 2,592.

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

9948 (number)

9948 is an even 4-digits composite number following 9947 and preceding 9949. In scientific notation, it is written as 9.948 × 10^3. The sum of its digits is 30. It has a total of 4 prime factors and 12 positive divisors. There are 3312 positive integers (up to 9948) that are relatively prime to 9948.

Interesting facts

9948 has 12 divisors, whose sum is 23240
The reverse of 9948 is 8499
Previous prime number is 3

Basic properties

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

Name

Name	nine thousand nine hundred forty-eight

Notation

Scientific notation	9.948 × 10^3
Engineering notation	9.948 × 10^3

Prime Factorization of 9948

Prime Factorization 2 × 2 × 3 × 829

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	4	Total number of prime factors
rad	Radical	4974	Product of the distinct prime numbers

The prime factorization of 9948 is 2 × 2 × 3 × 829. Since it has a total of 4 prime factors.

Most popular turbo-numbers

3, 9, 50, 52, 547, 446, 1550, 588, 4130, 46092, 512498, 318381, 9061658, 6558462, 1499466, 13474285, 578369647, 335139095, 2653096494, 5866476419

Basic calculations (n = 9948)

Multiplication

n×y

n×2	19896
n×3	29844
n×4	39792
n×5	49740

Division

n÷y

n÷2	4974
n÷3	3316
n÷3	2487
n÷5	1989.6

Exponentiation

n^y

n²	98962704
n³	984480979392
n⁴	9793616782991616
n⁵	9.7426899757201E+19

Nth Root

^y√n

²√n	99.739661118333
³√n	21.506938449253
⁴√n	9.986974572829
⁵√n	6.30299779681

Divisors of 9948

1, 2, 3, 4, 6, 12, 829, 1658, 2487, 3316, 4974, 9948

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	-9947	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 9948 can be divided by 12 positive divisors. The sum of these divisors (counting 9948) is 1, the average is 0.083333333333333.

Base conversion 9948

Base	System	Value
2	Binary	10011011011100
3	Ternary	111122110
4	Quaternary	2123130
5	Quinary	304243
6	Senary	114020
8	Octal	23334
10	Decimal	9948
12	Duodecimal	5910
16	Hexadecimal	26dc
20	Vigesimal	14h8
36	Base36	7oc

Cryptographic Hash Functions

md5	0bdf2c1f053650715e1f0c725d754b96
sha1	83709ec9130d8eab4f9a218248e23f3d4f96e223
sha256	e15c507424b41eace33c4a0116425dda5773b48dd984707e6eafb5549c4ffb5a
sha512	d1e10d6f685ab2f5703dc5a17b9757fc07af2d6f9ff76ada2e562bf33ed51d992ee1b1c38e2cecb3073504228ea89921e0f5ab84a6df66ad86ecc63e660aad00
ripemd-160	74f54a02429c47f15e9b8f20dedce3f01ee3e0bb

9948 as geometric shapes

Circle

Radius = n

Diameter	19896
Circumference	62505.127435823
Area	310900503.86578

Sphere

Radius = n

Volume	4123784283275.7
Surface area	1243602015.4631
Circumference	62505.127435823

Square

Length = n

Perimeter	39792
Area	98962704
Diagonal	14068.596518488

Cube

Length = n

Surface area	593776224
Volume	984480979392
Space diagonal	17230.441433695

Equilateral Triangle

Length = n

Perimeter	29844
Area	42852107.8456
Altitude	8615.2207168476

Triangular Pyramid

Length = n

Surface area	42852107.8456
Volume	116022196079.54
Height	4689.5321728292