Math Question: What is the sum of the squares of the prime factors of the number 1077?

To find the prime factors of 1077, we divide it by the smallest prime number, which is 2. But 1077 is an odd number, so it's not divisible by 2. Next, we try dividing it by 3, another prime number. Dividing 1077 by 3, we get 359, which is a prime number. Therefore, the prime factors of 1077 are only 3 and 359. The sum of the squares of these prime factors can be calculated by finding the square of 3, which is 9, and the square of 359, which is 128881. Adding these squares together, we get 128890. Hence, the sum of the squares of the prime factors of 1077 is 128890.

What is the prime factorization of 1077?

The prime factorization of 1077 is 3 × 359. To find the prime factorization, we divide 1077 by its smallest prime factor, which is 3. This gives us 1077 ÷ 3 = 359. Since 359 is a prime number, the prime factorization of 1077 is 3 × 359.

Math Question: What is the largest prime factor of the number 1077?

To find the largest prime factor of 1077, we need to factorize it. Prime factors of 1077 are 3, 359. Since 359 is the largest prime factor, the answer is 359. Prime factorization is crucial in various areas of mathematics, including cryptography and number theory, where understanding the factors of a given number is essential for solving complex problems. A deeper understanding of prime factors also contributes to the comprehension of divisibility rules, simplifying fractions, and finding common denominators.

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

1077 (number)

1077 is an odd 4-digits composite number following 1076 and preceding 1078. In scientific notation, it is written as 1.077 × 10^3. The sum of its digits is 15. It has a total of 2 prime factors and 4 positive divisors. There are 716 positive integers (up to 1077) that are relatively prime to 1077.

Interesting facts

1077 has 4 divisors, whose sum is 1440
The reverse of 1077 is 7701
Previous prime number is 3

Basic properties

Is Prime? no
Number parity odd
Number length 4
Sum of Digits 15
Digital Root 6

Name

Name	one thousand seventy-seven

Notation

Scientific notation	1.077 × 10^3
Engineering notation	1.077 × 10^3

Prime Factorization of 1077

Prime Factorization 3 × 359

Composite number

ω	Distinct Factors	2	Total number of distinct prime factors
Ω	Total Factors	2	Total number of prime factors
rad	Radical	1077	Product of the distinct prime numbers

The prime factorization of 1077 is 3 × 359. Since it has a total of 2 prime factors.

Most popular turbo-numbers

9, 3, 43, 6, 812, 679, 6391, 8433, 43131, 72602, 944770, 898229, 1812780, 5345320, 70848121, 41734641, 283754893, 601951465, 6136145381, 4504009451

Basic calculations (n = 1077)

Multiplication

n×y

n×2	2154
n×3	3231
n×4	4308
n×5	5385

Division

n÷y

n÷2	538.5
n÷3	359
n÷3	269.25
n÷5	215.4

Exponentiation

n^y

n²	1159929
n³	1249243533
n⁴	1345435285041
n⁵	1449033801989157

Nth Root

^y√n

²√n	32.817678162844
³√n	10.250347003918
⁴√n	5.7286715879725
⁵√n	4.0405747044442

Divisors of 1077

1, 3, 359, 1077

4 divisors

τ	Total Divisors	4	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-1076	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.25	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	4	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 1077 can be divided by 4 positive divisors. The sum of these divisors (counting 1077) is 1, the average is 0.25.

Base conversion 1077

Base	System	Value
2	Binary	10000110101
3	Ternary	1110220
4	Quaternary	100311
5	Quinary	13302
6	Senary	4553
8	Octal	2065
10	Decimal	1077
12	Duodecimal	759
16	Hexadecimal	435
20	Vigesimal	2dh
36	Base36	tx

Cryptographic Hash Functions

md5	062ddb6c727310e76b6200b7c71f63b5
sha1	bab750c63a16012fe1e06fd51c0f4954fb54b098
sha256	bcce03f625c22998dcb812feb157db59cbb8f22a424a70710a8d9ef20c7e5580
sha512	b5e182b1a4b7f2db98ce8ea4094b14b73d0283f17e6ab6f707836a85d8a5b2cd194729d0a759a586854120a4a32bef56c32dad74981d387bfb77248f3b0c725d
ripemd-160	2848414f5eea6a69f48981dc5a0f8ea4e958831b

1077 as geometric shapes

Circle

Radius = n

Diameter	2154
Circumference	6766.9905758324
Area	3644024.4250858

Sphere

Radius = n

Volume	5232819074.4231
Surface area	14576097.700343
Circumference	6766.9905758324

Square

Length = n

Perimeter	4308
Area	1159929
Diagonal	1523.1080066758

Cube

Length = n

Surface area	6959574
Volume	1249243533
Space diagonal	1865.4187197517

Equilateral Triangle

Length = n

Perimeter	3231
Area	502263.99029314
Altitude	932.70935987584

Triangular Pyramid

Length = n

Surface area	502263.99029314
Volume	147224762.25629
Height	507.70266889194