Math question: What is the sum of the first three even factors of 7872, excluding 2?

To find the first three even factors of 7872, we divide it by 2 to get 3936. The next even factor will be half of 3936, which is 1968. The third even factor will be half of 1968, which is 984. Now, let's find the sum of these three even factors: 3936 + 1968 + 984 = 6888. Therefore, the sum of the first three even factors of 7872, excluding 2, is 6888.

Question: How many even numbers are there between 2000 and 7000, inclusive, that are divisible by 4 and do not contain the digit 3?

To find the number of even numbers meeting the given conditions, we first identify the range of possible thousands digits — 2 to 7. Excluding 3 as a digit leaves 6 choices. Since the thousands digit needs to be even, there are 3 possibilities: 2, 4, or 6. The hundreds, tens, and units digits each have 10 choices (0-9). Hence, the total number of even numbers is 3 * 10 * 10 * 10 = 3000. However, we need to consider that the highest number we can have is 7000, so we need to subtract any numbers that exceed this limit. The highest possible number starting with 7 is 7998, which is divisible by 4 but does contain the digit 3. Therefore, the number of desired even numbers between 2000 and 7000 is 3000 - 1 = 2999.

Question: Is 7872 divisible by both 7 and 9 but not divisible by 11?

To determine if 7872 is divisible by 7 and 9 but not divisible by 11, we can check if the sum of digits in 7872 is divisible by 9. Adding 7 + 8 + 7 + 2 gives us 24, which is divisible by 9. Hence, we proceed to check if 7872 is divisible by 7. By dividing 7872 by 7, we get 1124. Lastly, to confirm it is not divisible by 11, we observe that the alternating sum of digits (7 - 8 + 7 - 2) is not a multiple of 11. Therefore, 7872 is divisible by 7 and 9 but not by 11.

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

7872 (number)

7872 is an even 4-digits composite number following 7871 and preceding 7873. In scientific notation, it is written as 7.872 × 10^3. The sum of its digits is 24. It has a total of 8 prime factors and 28 positive divisors. There are 2560 positive integers (up to 7872) that are relatively prime to 7872.

Interesting facts

7872 has 28 divisors, whose sum is 21336
The reverse of 7872 is 2787
Previous prime number is 3

Basic properties

Is Prime? no
Number parity even
Number length 4
Sum of Digits 24
Digital Root 6

Name

Name	seven thousand eight hundred seventy-two

Notation

Scientific notation	7.872 × 10^3
Engineering notation	7.872 × 10^3

Prime Factorization of 7872

Prime Factorization 2 × 2 × 2 × 2 × 2 × 2 × 3 × 41

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	8	Total number of prime factors
rad	Radical	246	Product of the distinct prime numbers

The prime factorization of 7872 is 2 × 2 × 2 × 2 × 2 × 2 × 3 × 41. Since it has a total of 8 prime factors.

Most popular turbo-numbers

10, 7, 49, 62, 336, 494, 9888, 3321, 45310, 22550, 76081, 522518, 769851, 6176463, 31004103, 91744363, 775707008, 119392577, 1027221667, 5167476601

Basic calculations (n = 7872)

Multiplication

n×y

n×2	15744
n×3	23616
n×4	31488
n×5	39360

Division

n÷y

n÷2	3936
n÷3	2624
n÷3	1968
n÷5	1574.4

Exponentiation

n^y

n²	61968384
n³	487815118848
n⁴	3840080615571456
n⁵	3.0229114605779E+19

Nth Root

^y√n

²√n	88.724292051275
³√n	19.892759333074
⁴√n	9.419357305638
⁵√n	6.0147421925185

Divisors of 7872

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 41, 48, 64, 82, 96, 123, 164, 192, 246, 328, 492, 656, 984, 1312, 1968, 2624, 3936, 7872

28 divisors

τ	Total Divisors	28	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-7871	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.035714285714286	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	28	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 7872 can be divided by 28 positive divisors. The sum of these divisors (counting 7872) is 1, the average is 0.035714285714286.

Base conversion 7872

Base	System	Value
2	Binary	1111011000000
3	Ternary	101210120
4	Quaternary	1323000
5	Quinary	222442
6	Senary	100240
8	Octal	17300
10	Decimal	7872
12	Duodecimal	4680
16	Hexadecimal	1ec0
20	Vigesimal	jdc
36	Base36	62o

Cryptographic Hash Functions

md5	b543376b5721da011b230ba7ae9dd619
sha1	e63173f9526ad5706917ff722550b8df81b14784
sha256	ba486058e227d657f7e59c120ce06fc64346460ffc166b091ec3f8ce6e0c53b7
sha512	20b8aa1a4207cd7a7c24b16d5ecc2efd3a7723b9e52571fdc20066d67e0528d634d681d821c475a77482d9a9067cd811576326a72f99d6ff5da48274f28289f4
ripemd-160	bd30490ca1ac679354b113344a801feba6a98535

7872 as geometric shapes

Circle

Radius = n

Diameter	15744
Circumference	49461.234738118
Area	194679419.92923

Sphere

Radius = n

Volume	2043355191577.2
Surface area	778717679.71693
Circumference	49461.234738118

Square

Length = n

Perimeter	31488
Area	61968384
Diagonal	11132.689163001

Cube

Length = n

Surface area	371810304
Volume	487815118848
Space diagonal	13634.703957182

Equilateral Triangle

Length = n

Perimeter	23616
Area	26833097.387735
Altitude	6817.3519785911

Triangular Pyramid

Length = n

Surface area	26833097.387735
Volume	57489563083.79
Height	3710.896387667