Math question: What is the sum of all odd numbers between 1001 and 3001, excluding multiples of 7, given that 7938 is subtracted?

To find the sum, we start by recognizing that between 1001 and 3001, there are (2001 - 1001)/2 + 1 = 501 odd numbers. By using the formula for the sum of an arithmetic series, we find that the sum of all odd numbers between 1001 and 3001 is (501/2) * (1001 + 3001) = 1501 * 2001 = 3,003,501. Now, to exclude multiples of 7, we need to find the number of odd multiples of 7 within this range (1001 to 3001). The first odd multiple of 7 is 1001, and the last is 2995. Using the formula for an arithmetic progression, we can calculate (2995 - 1001)/14 + 1 = 143 odd multiples of 7. To exclude these, we need to subtract (143/2) * (1001 + 2995) = 645,181 from 3,003,501. Therefore, the sum of all odd numbers between 1001 and 3001, excluding multiples of 7, is 3,003,501 - 645,181 = 2,358,320. When we subtract 7938, the final answer is 2,350,382.

What is the sum of the digits of the number 7938 when multiplied by 5 and then divided by 7?

The sum of the digits of 7938 is 27. When multiplied by 5, it becomes 135. Dividing 135 by 7 yields a quotient of 19 with a remainder of 2.

How many four-digit numbers greater than 7000 can be formed by using the digits 7, 9, 3, and 8 without repetition?

Since we are looking for four-digit numbers greater than 7000, the first digit must be 7. For the second digit, we have three options left (9, 3, and 8). After choosing the second digit, we have two options left for the third digit, and only one option left for the fourth digit. Thus, the total number of numbers that can be formed is 1 * 3 * 2 * 1 = 6. Therefore, there are six four-digit numbers greater than 7000 that can be formed using the digits 7, 9, 3, and 8 without repetition.

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

7938 (number)

7938 is an even 4-digits composite number following 7937 and preceding 7939. In scientific notation, it is written as 7.938 × 10^3. The sum of its digits is 27. It has a total of 5 prime factors and 24 positive divisors. There are 2268 positive integers (up to 7938) that are relatively prime to 7938.

Interesting facts

7938 has 24 divisors, whose sum is 19152
The reverse of 7938 is 8397
Previous prime number is 7

Basic properties

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

Name

Name	seven thousand nine hundred thirty-eight

Notation

Scientific notation	7.938 × 10^3
Engineering notation	7.938 × 10^3

Prime Factorization of 7938

Prime Factorization 2 × 27 × 3 × 7 × 7

Composite number

ω	Distinct Factors	4	Total number of distinct prime factors
Ω	Total Factors	5	Total number of prime factors
rad	Radical	1134	Product of the distinct prime numbers

The prime factorization of 7938 is 2 × 27 × 3 × 7 × 7. Since it has a total of 5 prime factors.

Most popular turbo-numbers

10, 4, 17, 11, 476, 531, 6839, 8124, 54852, 24824, 201898, 295145, 9167913, 8331871, 6637252, 54001586, 18493601, 255634526, 6586188316, 5725076954

Basic calculations (n = 7938)

Multiplication

n×y

n×2	15876
n×3	23814
n×4	31752
n×5	39690

Division

n÷y

n÷2	3969
n÷3	2646
n÷3	1984.5
n÷5	1587.6

Exponentiation

n^y

n²	63011844
n³	500188017672
n⁴	3970492484280336
n⁵	3.1517769340217E+19

Nth Root

^y√n

²√n	89.095454429505
³√n	19.948199283453
⁴√n	9.4390388509374
⁵√n	6.0247942334474

Divisors of 7938

1, 2, 3, 6, 7, 14, 21, 27, 42, 49, 54, 81, 98, 147, 162, 189, 294, 378, 567, 1134, 1323, 2646, 3969, 7938

24 divisors

τ	Total Divisors	24	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-7937	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.041666666666667	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	24	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 7938 can be divided by 24 positive divisors. The sum of these divisors (counting 7938) is 1, the average is 0.041666666666667.

Base conversion 7938

Base	System	Value
2	Binary	1111100000010
3	Ternary	101220000
4	Quaternary	1330002
5	Quinary	223223
6	Senary	100430
8	Octal	17402
10	Decimal	7938
12	Duodecimal	4716
16	Hexadecimal	1f02
20	Vigesimal	jgi
36	Base36	64i

Cryptographic Hash Functions

md5	b4892f808f9efbd561cecbfbec3ad20d
sha1	67934917f252f2de243f4da7d95a923679f4a665
sha256	93bad48c1cec2fd81754d3b51b5bd2e53b4c838721f2019f15e9ecd20f0ddd88
sha512	089a1f2a5bd5424cc7956f656f538dd0bbb9d90c9e713732af673e5c6bc0a09db7bbe524121cca85d937b818b996fbf33fb7b49278b3f75ea7d7435421379b8f
ripemd-160	0fddcfdc20e4d9c0595071c9dc0f95d097999156

7938 as geometric shapes

Circle

Radius = n

Diameter	15876
Circumference	49875.924968392
Area	197957546.19955

Sphere

Radius = n

Volume	2095182668976
Surface area	791830184.79818
Circumference	49875.924968392

Square

Length = n

Perimeter	31752
Area	63011844
Diagonal	11226.027258118

Cube

Length = n

Surface area	378071064
Volume	500188017672
Space diagonal	13749.019310482

Equilateral Triangle

Length = n

Perimeter	23814
Area	27284928.821651
Altitude	6874.5096552409

Triangular Pyramid

Length = n

Surface area	27284928.821651
Volume	58947723194.021
Height	3742.0090860392