Math Question: If a number is divisible by both 5 and 101, can it be expressed as the sum of three different prime numbers?

No, a number that is divisible by both 5 and 101 cannot be expressed as the sum of three different prime numbers. Let's assume such a number exists, and we can express it as the sum of three distinct prime numbers, say 505 = x + y + z, where x, y, and z are primes. Since 505 is divisible by 5, at least one of the primes (x, y, or z) must also be divisible by 5. However, the only prime number divisible by 5 is 5 itself. Without loss of generality, let x be 5. Then, the equation becomes 505 = 5 + y + z, which implies 500 = y + z. But 500 is not divisible by 5, which means either y or z must be divisible by 5, resulting in repetition. Therefore, it is not possible to express 505 as the sum of three different prime numbers.

Math question: If you multiply the number 505 by 4, subtract 35, divide by 10, and add 200, what is the result?

To solve the given expression, let's go step by step. Multiplying 505 by 4 gives us 2020. Subtracting 35 from that gives 1985. Dividing 1985 by 10 results in 198.5. Finally, adding 200 to 198.5 yields 398.5. Therefore, the result of the expression is 398.5 when performing the mentioned operations on the number 505.

Math question: What is the sum of 505 divided by the product of its digits, when 505 is expressed as a three-digit number in base 10?

To find the sum, we start by expressing 505 as a three-digit number, which is 500 + 0 + 5. The product of its digits is 5 * 0 * 5 = 0. Now, to avoid division by zero, we consider the sum as 500 / (0 + 1), which equals 500. Thus, the answer to the question is 500.

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

505 (number)

505 is an odd 3-digits composite number following 504 and preceding 506. In scientific notation, it is written as 5.05 × 10^2. The sum of its digits is 10. It has a total of 2 prime factors and 4 positive divisors. There are 400 positive integers (up to 505) that are relatively prime to 505.

Interesting facts

505 has 4 divisors, whose sum is 612
The reverse of 505 is 505
Previous prime number is 5

Basic properties

Is Prime? no
Number parity odd
Number length 3
Sum of Digits 10
Digital Root 1

Name

Name	five hundred five

Notation

Scientific notation	5.05 × 10^2
Engineering notation	5.05 × 10^0

Prime Factorization of 505

Prime Factorization 5 × 101

Composite number

ω	Distinct Factors	2	Total number of distinct prime factors
Ω	Total Factors	2	Total number of prime factors
rad	Radical	505	Product of the distinct prime numbers

The prime factorization of 505 is 5 × 101. Since it has a total of 2 prime factors.

Most popular turbo-numbers

1, 2, 29, 6, 894, 384, 189, 6243, 96596, 77830, 48542, 102201, 3799020, 7972343, 18495201, 55021658, 965433902, 9169445, 581294415, 1457701352

Basic calculations (n = 505)

Multiplication

n×y

n×2	1010
n×3	1515
n×4	2020
n×5	2525

Division

n÷y

n÷2	252.5
n÷3	168.33333333333
n÷3	126.25
n÷5	101

Exponentiation

n^y

n²	255025
n³	128787625
n⁴	65037750625
n⁵	32844064065625

Nth Root

^y√n

²√n	22.472205054244
³√n	7.9633742417892
⁴√n	4.7404857403271
⁵√n	3.4726281036126

Divisors of 505

1, 5, 101, 505

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	-504	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 505 can be divided by 4 positive divisors. The sum of these divisors (counting 505) is 1, the average is 0.25.

Base conversion 505

Base	System	Value
2	Binary	111111001
3	Ternary	200201
4	Quaternary	13321
5	Quinary	4010
6	Senary	2201
8	Octal	771
10	Decimal	505
12	Duodecimal	361
16	Hexadecimal	1f9
20	Vigesimal	155
36	Base36	e1

Cryptographic Hash Functions

md5	e8c0653fea13f91bf3c48159f7c24f78
sha1	3ead28f890ec0f5b363587e15d61e0b4dca2ee6d
sha256	e13b778ae833ca8c5d757c58e4a85bd71e08c05caedbd096e13ec3f7b228b43a
sha512	c43720a151fb6eda1667e3509815c8805652c34012faa0d01939daad5fb237aec6ddb918b1f1942ed335598bdee393657f739f23c18002cf426a32571f844341
ripemd-160	8365190f9c8a789cbc5bf556961fe1aa8a68a4b5

505 as geometric shapes

Circle

Radius = n

Diameter	1010
Circumference	3173.0085801257
Area	801184.66648174

Sphere

Radius = n

Volume	539464342.0977
Surface area	3204738.6659269
Circumference	3173.0085801257

Square

Length = n

Perimeter	2020
Area	255025
Diagonal	714.17784899841

Cube

Length = n

Surface area	1530150
Volume	128787625
Space diagonal	874.68565782228

Equilateral Triangle

Length = n

Perimeter	1515
Area	110429.06430006
Altitude	437.34282891114

Triangular Pyramid

Length = n

Surface area	110429.06430006
Volume	15177767.161735
Height	238.05928299947