Math Question: If 1836 is expressed as a product of prime factors, what is the sum of all the exponents in its prime factorization?

To find the prime factorization of 1836, we divide it by its smallest prime factor, 2. The result is 918. Since 918 is even, we continue dividing by 2, obtaining 459. Now, dividing 459 by its smallest factor, 3, we get 153. Recurring this process, we divide 153 by 3 to get 51, then 51 by 3 to obtain 17. Finally, 17 is a prime number, so the prime factorization of 1836 is 2^2 × 3 × 17. Summing up the exponents, we have 2 + 1 + 1 = 4. Hence, the sum of the exponents in the prime factorization of 1836 is 4.

Math question: What is the sum of the factors of the positive integer 1836?

To find the sum of the factors of 1836, we need to prime factorize it. 1836 can be written as 2^2 * 3^1 * 7^1 * 11^1. The sum of the factors can be calculated as (2^0 + 2^1 + 2^2) * (3^0 + 3^1) * (7^0 + 7^1) * (11^0 + 11^1) = (1 + 2 + 4) * (1 + 3) * (1 + 7) * (1 + 11) = 7 * 4 * 8 * 12 = 2688. Therefore, the sum of the factors of 1836 is 2688.

Math question: How many words can be formed using all the digits in the number 1836, allowing repetition?

To find the total number of words, we have to consider the number of options for each digit. Since repetition is allowed, we have 4 options for the first digit (1, 8, 3, or 6), 4 options for the second digit (remaining three digits plus the one already used), 3 options for the third digit, and 2 options for the last digit. Thus, the total number of words is 4 × 4 × 3 × 2 = 96 words.

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

1836 (number)

1836 is an even 4-digits composite number following 1835 and preceding 1837. In scientific notation, it is written as 1.836 × 10^3. The sum of its digits is 18. It has a total of 4 prime factors and 12 positive divisors. There are 576 positive integers (up to 1836) that are relatively prime to 1836.

Interesting facts

1836 has 12 divisors, whose sum is 3528
The reverse of 1836 is 6381
Previous prime number is 27

Basic properties

Is Prime? no
Number parity even
Number length 4
Sum of Digits 18
Digital Root 9

Name

Name	one thousand eight hundred thirty-six

Notation

Scientific notation	1.836 × 10^3
Engineering notation	1.836 × 10^3

Prime Factorization of 1836

Prime Factorization 2 × 2 × 27 × 17

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	4	Total number of prime factors
rad	Radical	918	Product of the distinct prime numbers

The prime factorization of 1836 is 2 × 2 × 27 × 17. Since it has a total of 4 prime factors.

Most popular turbo-numbers

10, 9, 62, 93, 702, 613, 4626, 5365, 64106, 29150, 232033, 937159, 7347153, 1228349, 90500757, 43630746, 281823187, 943227475, 8929273986, 8090064876

Basic calculations (n = 1836)

Multiplication

n×y

n×2	3672
n×3	5508
n×4	7344
n×5	9180

Division

n÷y

n÷2	918
n÷3	612
n÷3	459
n÷5	367.2

Exponentiation

n^y

n²	3370896
n³	6188965056
n⁴	11362939842816
n⁵	20862357551410176

Nth Root

^y√n

²√n	42.848570571257
³√n	12.244965305752
⁴√n	6.5458819551881
⁵√n	4.4954641161334

Divisors of 1836

1, 2, 4, 17, 27, 34, 54, 68, 108, 459, 918, 1836

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	-1835	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 1836 can be divided by 12 positive divisors. The sum of these divisors (counting 1836) is 1, the average is 0.083333333333333.

Base conversion 1836

Base	System	Value
2	Binary	11100101100
3	Ternary	2112000
4	Quaternary	130230
5	Quinary	24321
6	Senary	12300
8	Octal	3454
10	Decimal	1836
12	Duodecimal	1090
16	Hexadecimal	72c
20	Vigesimal	4bg
36	Base36	1f0

Cryptographic Hash Functions

md5	f26dab9bf6a137c3b6782e562794c2f2
sha1	026db829052e2ac392765a7c1d324dc1e217ea01
sha256	65956c853f2004feac38894fe8ed6a047126f326cb8312e56acb9839633c296b
sha512	5bb9529c2136f4fa5d3c3e65ff6e6e04c36e79f92d93677933d453fd3623ef8a9d8aece45819e9b9461c6edcf4b5a93f7fa6fdb7c3093ba4268cbb8b3ee80b3f
ripemd-160	a7fdaccaab13bd3af0e0e1bf067ca7138795e195

1836 as geometric shapes

Circle

Radius = n

Diameter	3672
Circumference	11535.928223982
Area	10589982.109615

Sphere

Radius = n

Volume	25924276204.338
Surface area	42359928.438461
Circumference	11535.928223982

Square

Length = n

Perimeter	7344
Area	3370896
Diagonal	2596.496100517

Cube

Length = n

Surface area	20225376
Volume	6188965056
Space diagonal	3180.0452826965

Equilateral Triangle

Length = n

Perimeter	5508
Area	1459640.7847577
Altitude	1590.0226413482

Triangular Pyramid

Length = n

Surface area	1459640.7847577
Volume	729376526.60403
Height	865.49870017233