Math Question: How many times does the number 13 appear in the sequence of numbers from 1 to 1305?

To find the solution, we can analyze each digit's contribution. In the units digit, 13 appears once (13). Moving on to the tens digit, for 130 to 139, 13 is repeated 10 times. Similarly, in the hundreds digit, for 1300 to 1309, 13 is repeated 10 times. Hence, the number 13 appears 21 times in the sequence from 1 to 1305.

Math question: What is the sum of the prime factors of 1305?

To find the prime factors of 1305, we start by dividing it by the smallest prime number, 2. However, since 1305 is an odd number, it cannot be divisible by 2. Then we proceed to the next prime number, 3, which successfully divides 1305, resulting in 435. We continue dividing by primes until we reach the square root of 435, observing that 5 is the next prime divisor (435 ÷ 5 = 87). Further dividing 87, we find that 87 ÷ 3 gives us 29, which is a prime number. Therefore, the prime factors of 1305 are 3, 5, and 29. The sum of these prime factors is: 3 + 5 + 29 = 37.

Math Question: If 40% of a number is 522, what is the number?

To find the number, we can set up a proportion. Let the number be x. We have: 40/100 = 522/x. Simplifying this equation, we get 2/5 = 522/x. To solve for x, cross multiplying gives: 2x = 2610. Dividing both sides by 2, the number x is 1305. Therefore, the answer is 1305.

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

1305 (number)

1305 is an odd 4-digits composite number following 1304 and preceding 1306. In scientific notation, it is written as 1.305 × 10^3. The sum of its digits is 9. It has a total of 3 prime factors and 8 positive divisors. There are 672 positive integers (up to 1305) that are relatively prime to 1305.

Interesting facts

1305 has 8 divisors, whose sum is 1800
The reverse of 1305 is 5031
Previous prime number is 5

Basic properties

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

Name

Name	one thousand three hundred five

Notation

Scientific notation	1.305 × 10^3
Engineering notation	1.305 × 10^3

Prime Factorization of 1305

Prime Factorization 9 × 5 × 29

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	3	Total number of prime factors
rad	Radical	1305	Product of the distinct prime numbers

The prime factorization of 1305 is 9 × 5 × 29. Since it has a total of 3 prime factors.

Most popular turbo-numbers

5, 5, 22, 84, 445, 394, 1648, 5086, 59567, 44981, 923338, 132363, 4736225, 6998674, 57101460, 79799366, 669715471, 855846504, 4997855300, 120616536

Basic calculations (n = 1305)

Multiplication

n×y

n×2	2610
n×3	3915
n×4	5220
n×5	6525

Division

n÷y

n÷2	652.5
n÷3	435
n÷3	326.25
n÷5	261

Exponentiation

n^y

n²	1703025
n³	2222447625
n⁴	2900294150625
n⁵	3784883866565625

Nth Root

^y√n

²√n	36.124783736377
³√n	10.927903146554
⁴√n	6.010389649297
⁵√n	4.1987701624753

Divisors of 1305

1, 5, 9, 29, 45, 145, 261, 1305

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	-1304	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 1305 can be divided by 8 positive divisors. The sum of these divisors (counting 1305) is 1, the average is 0.125.

Base conversion 1305

Base	System	Value
2	Binary	10100011001
3	Ternary	1210100
4	Quaternary	110121
5	Quinary	20210
6	Senary	10013
8	Octal	2431
10	Decimal	1305
12	Duodecimal	909
16	Hexadecimal	519
20	Vigesimal	355
36	Base36	109

Cryptographic Hash Functions

md5	fd5c905bcd8c3348ad1b35d7231ee2b1
sha1	6dd367bb38ab6306c4913a15392fd8131fbca403
sha256	c7f4f146491d27eed1cd4d422c9b3fec37006c606b17dabbfebef85845f3cbc1
sha512	ebb19b01ac0d1f0b704e4037f30cfacf4dcd8ae7eaf0f5b06454103e41cbb0ac2c4a54e1114709b0deeac35f1d04855c696f08eab33922896cab029aab4bdf24
ripemd-160	b07f522450dd6bbd43a2fc5a4acf459cad48410e

1305 as geometric shapes

Circle

Radius = n

Diameter	2610
Circumference	8199.5568258694
Area	5350210.8288798

Sphere

Radius = n

Volume	9309366842.2508
Surface area	21400843.315519
Circumference	8199.5568258694

Square

Length = n

Perimeter	5220
Area	1703025
Diagonal	1845.5486988969

Cube

Length = n

Surface area	10218150
Volume	2222447625
Space diagonal	2260.3263038774

Equilateral Triangle

Length = n

Perimeter	3915
Area	737431.45664
Altitude	1130.1631519387

Triangular Pyramid

Length = n

Surface area	737431.45664
Volume	261917964.41157
Height	615.1828996323