Math question: If 4072 is divided by a number that leaves a remainder of 8 and the quotient is divided by 4, what is the result?

To find the answer, we need to apply the concepts of division and remainders. Let's say the divisor is x. According to the problem, we have the equation: 4072 = x * (4k + 8), where k is a positive integer. Now, 4k + 8 implies that 4k is even, and if we divide an even number by 4, we get another even number. Hence, the quotient will also be even. So, if x is an integer divisor, it must be divisible by 2. Hence, x could be 2, 4, 6, and so on. We can try these options by substituting them into the equation, and find the divisor x that makes the equation true. For instance, let's take x = 2: 4072 = 2 * (4k + 8) 2036 = 4k + 8 2028 = 4k 507 = k Therefore, the number that satisfies the given condition is 507.

What is the sum of the prime factors of the number 4072?

To find the prime factors of 4072, we can start by dividing it by the smallest prime number, 2. We get 4072 ÷ 2 = 2036. Dividing further by 2, we get 2036 ÷ 2 = 1018. Continuing this process, we have 1018 ÷ 2 = 509, which is a prime number. Therefore, the prime factors of 4072 are 2, 2, and 509. To find their sum, we add them up: 2 + 2 + 509 = 513. Thus, the sum of the prime factors of 4072 is 513.

Math Question: What is the largest prime factor of the number 4072?

To find the largest prime factor of 4072, let's factorize the number: 4072 = 2 * 2 * 2 * 509. So, the largest prime factor of 4072 is 509, as it cannot be divided any further.

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

4072 (number)

4072 is an even 4-digits composite number following 4071 and preceding 4073. In scientific notation, it is written as 4.072 × 10^3. The sum of its digits is 13. It has a total of 4 prime factors and 8 positive divisors. There are 2032 positive integers (up to 4072) that are relatively prime to 4072.

Interesting facts

4072 has 8 divisors, whose sum is 7650
The reverse of 4072 is 2704
Previous prime number is 2

Basic properties

Is Prime? no
Number parity even
Number length 4
Sum of Digits 13
Digital Root 4

Name

Name	four thousand seventy-two

Notation

Scientific notation	4.072 × 10^3
Engineering notation	4.072 × 10^3

Prime Factorization of 4072

Prime Factorization 2 × 2 × 2 × 509

Composite number

ω	Distinct Factors	2	Total number of distinct prime factors
Ω	Total Factors	4	Total number of prime factors
rad	Radical	1018	Product of the distinct prime numbers

The prime factorization of 4072 is 2 × 2 × 2 × 509. Since it has a total of 4 prime factors.

Most popular turbo-numbers

4, 5, 87, 76, 538, 792, 455, 5064, 98406, 59838, 150625, 490792, 6236982, 5104001, 9165610, 17827841, 418154701, 764234063, 9853374113, 3593081036

Basic calculations (n = 4072)

Multiplication

n×y

n×2	8144
n×3	12216
n×4	16288
n×5	20360

Division

n÷y

n÷2	2036
n÷3	1357.3333333333
n÷3	1018
n÷5	814.4

Exponentiation

n^y

n²	16581184
n³	67518581248
n⁴	274935662841856
n⁵	1119538019092037632

Nth Root

^y√n

²√n	63.812224534175
³√n	15.968688765382
⁴√n	7.9882554124274
⁵√n	5.2718319020386

Divisors of 4072

1, 2, 4, 8, 509, 1018, 2036, 4072

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	-4071	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 4072 can be divided by 8 positive divisors. The sum of these divisors (counting 4072) is 1, the average is 0.125.

Base conversion 4072

Base	System	Value
2	Binary	111111101000
3	Ternary	12120211
4	Quaternary	333220
5	Quinary	112242
6	Senary	30504
8	Octal	7750
10	Decimal	4072
12	Duodecimal	2434
16	Hexadecimal	fe8
20	Vigesimal	a3c
36	Base36	354

Cryptographic Hash Functions

md5	27669f3f141da48bfe5e6b7aa37c38f9
sha1	a4c9938952fd8e330f9a6d3972c82e158997e9e6
sha256	5a3d4457e7db434d8328d4dada5f7772ee30eae55749998fb82513095f9d4427
sha512	fe2d9197b3edf481c469f2fe7667b3d7e798839e18af1d9e05ea1a1ad0eef40d4313d4bc837a7e54ac8cd7687308d2434e6994cfb391f5581ac18aaa6dc8857b
ripemd-160	98135400634d34b36db1a6b4d66dce01541f192d

4072 as geometric shapes

Circle

Radius = n

Diameter	8144
Circumference	25585.130570835
Area	52091325.842221

Sphere

Radius = n

Volume	282821171772.7
Surface area	208365303.36888
Circumference	25585.130570835

Square

Length = n

Perimeter	16288
Area	16581184
Diagonal	5758.6776259832

Cube

Length = n

Surface area	99487104
Volume	67518581248
Space diagonal	7052.9108884205

Equilateral Triangle

Length = n

Perimeter	12216
Area	7179863.284412
Altitude	3526.4554442102

Triangular Pyramid

Length = n

Surface area	7179863.284412
Volume	7957141109.4259
Height	1919.5592086611