Math Question: What is the sum of the digits in the number 2013?

To find the sum of the digits in the number 2013, we add 2 + 0 + 1 + 3, which equals 6.

Math question: What is the sum of the prime factors of 2013?

To find the prime factors of 2013, we can start by dividing it by 2. This gives us 1006. Since 1006 is an even number, we continue dividing it by 2 until we get an odd number, which is 503. Now, to find the prime factor of 503, we can divide it by primes up to its square root, which is around 22.4 (rounded up). We find that 503 is a prime number itself. Therefore, the prime factors of 2013 are 2 and 503. Their sum is 505. So, the sum of the prime factors of 2013 is 505.

Math question: Find three positive integers whose sum is 2013 and the product of the largest and smallest number is equal to twice the middle number.

Let the three numbers be a, b, and c. We have the equations a + b + c = 2013 and ac = 2b. By rearranging the second equation, we get a = (2b)/c. Substituting this into the first equation, we have (2b)/c + b + c = 2013. Multiplying through by c, we get 2b + bc + c^2 = 2013c. Rearranging terms, c^2 + bc - 2013c + 2b = 0. By solving this quadratic equation, we can find the possible values of b and c. Once we have b and c, we can find a using a = (2b)/c. Therefore, solving the quadratic equation will yield three positive integers whose sum is 2013 and the product of the largest and smallest numbers is twice the middle number.

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

2013 (number)

2013 is an odd 4-digits composite number following 2012 and preceding 2014. In scientific notation, it is written as 2.013 × 10^3. The sum of its digits is 6. It has a total of 3 prime factors and 8 positive divisors. There are 1200 positive integers (up to 2013) that are relatively prime to 2013.

Interesting facts

2013 has 8 divisors, whose sum is 2976
The reverse of 2013 is 3102
Previous prime number is 11

Basic properties

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

Name

Name	two thousand thirteen

Notation

Scientific notation	2.013 × 10^3
Engineering notation	2.013 × 10^3

Prime Factorization of 2013

Prime Factorization 3 × 11 × 61

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	3	Total number of prime factors
rad	Radical	2013	Product of the distinct prime numbers

The prime factorization of 2013 is 3 × 11 × 61. Since it has a total of 3 prime factors.

Most popular turbo-numbers

6, 5, 36, 55, 132, 553, 8753, 484, 69485, 17384, 259831, 573757, 8223387, 6420170, 54241171, 11615108, 768712128, 555562043, 1331910745, 8811456302

Basic calculations (n = 2013)

Multiplication

n×y

n×2	4026
n×3	6039
n×4	8052
n×5	10065

Division

n÷y

n÷2	1006.5
n÷3	671
n÷3	503.25
n÷5	402.6

Exponentiation

n^y

n²	4052169
n³	8157016197
n⁴	16420073604561
n⁵	33053608165981293

Nth Root

^y√n

²√n	44.866468548349
³√n	12.626449854732
⁴√n	6.6982436913231
⁵√n	4.5789800880466

Divisors of 2013

1, 3, 11, 33, 61, 183, 671, 2013

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	-2012	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 2013 can be divided by 8 positive divisors. The sum of these divisors (counting 2013) is 1, the average is 0.125.

Base conversion 2013

Base	System	Value
2	Binary	11111011101
3	Ternary	2202120
4	Quaternary	133131
5	Quinary	31023
6	Senary	13153
8	Octal	3735
10	Decimal	2013
12	Duodecimal	11b9
16	Hexadecimal	7dd
20	Vigesimal	50d
36	Base36	1jx

Cryptographic Hash Functions

md5	8038da89e49ac5eabb489cfc6cea9fc1
sha1	d08b10a32612f9d3bc06be41124becfd39536eee
sha256	7931aa2a1bed855457d1ddf6bc06ab4406a9fba0579045a4d6ff78f9c07c440f
sha512	3a1a552f3ad49b6faae93a23ac6c201270a54bfb07909dbc80a7903d59b446d19f9b27fb32ae290522b0dc6f783ab812295780a448664d87fafecdcf3f3639a4
ripemd-160	f87e55762f79b09ea7bdbf3921df654e9fa3a7ca

2013 as geometric shapes

Circle

Radius = n

Diameter	4026
Circumference	12648.052023353
Area	12730264.361504

Sphere

Radius = n

Volume	34168029546.278
Surface area	50921057.446017
Circumference	12648.052023353

Square

Length = n

Perimeter	8052
Area	4052169
Diagonal	2846.811901057

Cube

Length = n

Surface area	24313014
Volume	8157016197
Space diagonal	3486.6182756361

Equilateral Triangle

Length = n

Perimeter	6039
Area	1754640.6472139
Altitude	1743.3091378181

Triangular Pyramid

Length = n

Surface area	1754640.6472139
Volume	961313577.85787
Height	948.93730035235