Math question: If 3136 is a perfect square, what is the square root of 3136?

To find the square root of 3136, we can use several methods. One way is to factorize 3136 into its prime factors, which are 2^4 * 7^2. Since each prime factor appears to an even power, we can take each prime factor to half of its power, resulting in 2^2 * 7. Simplifying further, we get √(2^2 * 7) = 2 * √7. Therefore, the square root of 3136 is 2√7, which is an irrational number.

Question: A number is formed by arranging the digits of 3136 in all possible ways. What is the sum of all the numbers formed in this way?

To find the sum of all the numbers formed by arranging the digits of 3136, we need to consider the digits at each position. Since 3136 has four distinct digits, each digit will appear in each position an equal number of times, specifically 3! = 6 times. Therefore, the sum of the units, tens, hundreds, and thousands positions will be the same for each digit. The total sum of each digit appearing in each position is given by the product of the digit and the sum of the digits in the thousands, hundreds, tens, and units places. For the thousands position, the digit sum is 3+1+3+6 = 13. Therefore, the sum contributed by the thousands position will be 13 * (1000+100+10+1) = 13 * 1111 = 14,443. By the same logic, the sum contributed by the hundreds position will be 14,443, the sum contributed by the tens position will be 14,443, and the sum contributed by the units position will be 14,443. Thus, the sum of all the numbers formed by arranging the digits of 3136 will be 14,443 + 14,443 + 14,443 + 14,443 = 57,772.

Math question: Find the positive integer that, when multiplied by itself, gives a result of 3136.

To find the positive integer, let's investigate perfect squares. The square root of 3136 is 56 because 56 * 56 = 3136. Therefore, the positive integer we seek is 56.

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

3136 (number)

3136 is an even 4-digits composite number following 3135 and preceding 3137. In scientific notation, it is written as 3.136 × 10^3. The sum of its digits is 13. It has a total of 8 prime factors and 21 positive divisors. There are 1344 positive integers (up to 3136) that are relatively prime to 3136.

Interesting facts

3136 has 21 divisors, whose sum is 7239
The reverse of 3136 is 6313
Previous prime number is 7

Basic properties

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

Name

Name	three thousand one hundred thirty-six

Notation

Scientific notation	3.136 × 10^3
Engineering notation	3.136 × 10^3

Prime Factorization of 3136

Prime Factorization 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7

Composite number

ω	Distinct Factors	2	Total number of distinct prime factors
Ω	Total Factors	8	Total number of prime factors
rad	Radical	14	Product of the distinct prime numbers

The prime factorization of 3136 is 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7. Since it has a total of 8 prime factors.

Most popular turbo-numbers

9, 10, 72, 92, 199, 339, 4464, 1732, 10286, 78668, 827096, 723384, 8086810, 4927559, 19240525, 82378473, 752243044, 813519350, 2770302582, 9592126327

Basic calculations (n = 3136)

Multiplication

n×y

n×2	6272
n×3	9408
n×4	12544
n×5	15680

Division

n÷y

n÷2	1568
n÷3	1045.3333333333
n÷3	784
n÷5	627.2

Exponentiation

n^y

n²	9834496
n³	30840979456
n⁴	96717311574016
n⁵	303305489096114176

Nth Root

^y√n

²√n	56
³√n	14.637222840092
⁴√n	7.4833147735479
⁵√n	5.0035150542817

Divisors of 3136

1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 64, 98, 112, 196, 224, 392, 448, 784, 1568, 3136

21 divisors

τ	Total Divisors	21	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-3135	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.047619047619048	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	21	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 3136 can be divided by 21 positive divisors. The sum of these divisors (counting 3136) is 1, the average is 0.047619047619048.

Base conversion 3136

Base	System	Value
2	Binary	110001000000
3	Ternary	11022011
4	Quaternary	301000
5	Quinary	100021
6	Senary	22304
8	Octal	6100
10	Decimal	3136
12	Duodecimal	1994
16	Hexadecimal	c40
20	Vigesimal	7gg
36	Base36	2f4

Cryptographic Hash Functions

md5	2ecd2bd94734e5dd392d8678bc64cdab
sha1	205e123cd0ad6c76344e88c1f36c22cd1528fa67
sha256	8a2ce3d29ea75e65617e22cb290f95804238d8794268838606b10608739a6d72
sha512	86d59e37b86937add289ff0dc3c2a3d7c395078c3d359d9345346051e3d017eb1d1fceae8e934356ae74da30e9ae1ca9534e7343df87cfd2eaf101d177cda53e
ripemd-160	58fa66286b0d5ab8ea4861ae38b4a8f43fd9e9c5

3136 as geometric shapes

Circle

Radius = n

Diameter	6272
Circumference	19704.069123315
Area	30895980.385358

Sphere

Radius = n

Volume	129186392651.31
Surface area	123583921.54143
Circumference	19704.069123315

Square

Length = n

Perimeter	12544
Area	9834496
Diagonal	4434.973731602

Cube

Length = n

Surface area	59006976
Volume	30840979456
Space diagonal	5431.711332536

Equilateral Triangle

Length = n

Perimeter	9408
Area	4258461.6847082
Altitude	2715.855666268

Triangular Pyramid

Length = n

Surface area	4258461.6847082
Volume	3634644285.2954
Height	1478.3245772007