Math Question: What is the sum of all odd numbers between 1321 and 1 if each is squared and then added together?

To find the sum, we first observe that there are [(1321-1)/2] + 1 = 661 odd numbers between 1321 and 1 (inclusive). We can sum them using the formula Sn = n/2(a + l), where Sn represents the sum of an arithmetic series with a as the first term, l as the last term, and n as the number of terms. Here, a = 1, l = 1321^2 = 1,747,041, and n = 661. Plugging these values into the formula, Sn = 661/2(1 + 1,747,041) = 230,403,042. Thus, the sum of the squared odd numbers between 1321 and 1 is 230,403,042.

Math Question: If 1321 has a remainder of 4 when divided by x, and x is a prime number greater than 40 but less than 100, what is the value of x?

To find the value of x, we need to consider prime numbers between 40 and 100. Starting from 41, we divide 1321 by each prime number until we find the remainder of 4. After dividing, we notice that 53 gives a remainder of 4 (1321 mod 53 = 4). Therefore, x = 53.

Math question: How many prime factors does the number 1321 have?

To find the number of prime factors within 1321, we need to perform prime factorization. By continually dividing the number by the smallest prime numbers, we discover that 1321 is a prime number itself. Therefore, it only has one prime factor, which is, in fact, 1321.

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

1321 (number)

1321 is an odd 4-digits prime number following 1320 and preceding 1322. In scientific notation, it is written as 1.321 × 10^3. The sum of its digits is 7. It has a total of 1 prime factors and 2 positive divisors. There are 1320 positive integers (up to 1321) that are relatively prime to 1321.

Interesting facts

1321 has 2 divisors, whose sum is 1322
The reverse of 1321 is 1231
Previous prime number is 1

Basic properties

Is Prime? yes
Number parity odd
Number length 4
Sum of Digits 7
Digital Root 7

Name

Name	one thousand three hundred twenty-one

Notation

Scientific notation	1.321 × 10^3
Engineering notation	1.321 × 10^3

Prime Factorization of 1321

Prime Factorization 1321

Composite number

ω	Distinct Factors	1	Total number of distinct prime factors
Ω	Total Factors	1	Total number of prime factors
rad	Radical	1321	Product of the distinct prime numbers

The prime factorization of 1321 is 1321. Since it has a total of 1 prime factors.

Most popular turbo-numbers

2, 6, 47, 13, 463, 813, 9943, 3372, 82104, 69737, 51836, 710040, 4899847, 1402887, 61393137, 67563754, 86428600, 484597587, 5759974650, 4358178093

Basic calculations (n = 1321)

Multiplication

n×y

n×2	2642
n×3	3963
n×4	5284
n×5	6605

Division

n÷y

n÷2	660.5
n÷3	440.33333333333
n÷3	330.25
n÷5	264.2

Exponentiation

n^y

n²	1745041
n³	2305199161
n⁴	3045168091681
n⁵	4022667049110601

Nth Root

^y√n

²√n	36.345563690772
³√n	10.972382509958
⁴√n	6.0287281984489
⁵√n	4.2090158726573

Divisors of 1321

1, 1321

2 divisors

τ	Total Divisors	2	Total number of the positive divisors of n
σ	Sum of Divisors	1322	Sum of all the positive divisors of n
s	Aliquot Sum	1	Sum of the proper positive divisors of n
A	Arithmetic Mean	661	Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n))
G	Geometric Mean	36.359317925396	Returns the nth root of the product of n divisors
H	Harmonic Mean	1.9984871406959	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 1321 can be divided by 2 positive divisors. The sum of these divisors (counting 1321) is 1322, the average is 661.

Base conversion 1321

Base	System	Value
2	Binary	10100101001
3	Ternary	1210221
4	Quaternary	110221
5	Quinary	20241
6	Senary	10041
8	Octal	2451
10	Decimal	1321
12	Duodecimal	921
16	Hexadecimal	529
20	Vigesimal	361
36	Base36	10p

Cryptographic Hash Functions

md5	f9be311e65d81a9ad8150a60844bb94c
sha1	f395e7bb4ad6667889ab23a6a1fbc1888db09b67
sha256	fc61dd3e648333d1c1133dde787c624ec4cfbac64912876c3fc5f80b5ab883bd
sha512	5a5e001d50dfd47e6f6815953e2bff40f66d7482df47d596b0ff28d01273a535e7f46aee95565ef8d4d89e070d3319413e5fef9f8abd6efe20b00c1115964e72
ripemd-160	2b6599b91c412967fb0098d8a2c87c636423922c

1321 as geometric shapes

Circle

Radius = n

Diameter	2642
Circumference	8300.0877907842
Area	5482207.985813

Sphere

Radius = n

Volume	9655995665.6786
Surface area	21928831.943252
Circumference	8300.0877907842

Square

Length = n

Perimeter	5284
Area	1745041
Diagonal	1868.1761158949

Cube

Length = n

Surface area	10470246
Volume	2305199161
Space diagonal	2288.0391167985

Equilateral Triangle

Length = n

Perimeter	3963
Area	755624.9183227
Altitude	1144.0195583992

Triangular Pyramid

Length = n

Surface area	755624.9183227
Volume	271670326.45477
Height	622.72537196495