Math question: What is the sum of the three prime factors of the number 901?

To find the prime factors of 901, we divide it by primes starting from 2. We see that 901 can be expressed as 17 * 53. Adding these prime factors gives us 17 + 53 = 70. Hence, the sum of the three prime factors of 901 is 70.

What is the sum of all integers from 1 to 901 that are divisible by 3?

To find the sum of all numbers divisible by 3 from 1 to 901, we first need to identify the first and last numbers in the sequence. The first number divisible by 3 is 3, and the last is 900 (which is the largest multiple of 3 less than 901). We can use the formula for the sum of an arithmetic sequence: Sn = n/2(a1 + an), where Sn is the sum, n is the number of terms, a1 is the first term, and an is the last term. Plugging in the values, n = (900-3)/3 + 1 = 300, a1 = 3, and an = 900, we get Sn = 300/2(3 + 900) = 150(903) = 135,450. Therefore, the sum of all integers from 1 to 901 that are divisible by 3 is 135,450.

Question: The number 901 is divided by a positive integer x. The quotient is 61 and the remainder is y. If x + y = 60, what is the value of x?

Let's solve this problem using modular arithmetic. We know that 901 - y = 61x, where y is the remainder and 61 is the quotient. Rearranging the equation, we have 61x = 901 - y. Since x + y = 60, we can substitute y with 60 - x in the equation. So, 61x = 901 - (60 - x). Simplifying further, we get 61x = 841 + x. Subtracting x from both sides results in 60x = 841. Dividing both sides by 60 leaves us with x = 841/60. Thus, the value of x is approximately 14.0167 (rounded to four decimal places).

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

901 (number)

901 is an odd 3-digits composite number following 900 and preceding 902. In scientific notation, it is written as 9.01 × 10^2. The sum of its digits is 10. It has a total of 2 prime factors and 4 positive divisors. There are 832 positive integers (up to 901) that are relatively prime to 901.

Interesting facts

901 has 4 divisors, whose sum is 972
The reverse of 901 is 109
Previous prime number is 53

Basic properties

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

Name

Name	nine hundred one

Notation

Scientific notation	9.01 × 10^2
Engineering notation	9.01 × 10^0

Prime Factorization of 901

Prime Factorization 53 × 17

Composite number

ω	Distinct Factors	2	Total number of distinct prime factors
Ω	Total Factors	2	Total number of prime factors
rad	Radical	901	Product of the distinct prime numbers

The prime factorization of 901 is 53 × 17. Since it has a total of 2 prime factors.

Most popular turbo-numbers

2, 2, 88, 23, 784, 299, 309, 3150, 78959, 62028, 297914, 324835, 3316768, 4523404, 91505857, 11996039, 916551920, 208984562, 3649132851, 8332514416

Basic calculations (n = 901)

Multiplication

n×y

n×2	1802
n×3	2703
n×4	3604
n×5	4505

Division

n÷y

n÷2	450.5
n÷3	300.33333333333
n÷3	225.25
n÷5	180.2

Exponentiation

n^y

n²	811801
n³	731432701
n⁴	659020863601
n⁵	593777798104501

Nth Root

^y√n

²√n	30.016662039607
³√n	9.6584684090804
⁴√n	5.4787463930727
⁵√n	3.8989256916993

Divisors of 901

1, 17, 53, 901

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	-900	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 901 can be divided by 4 positive divisors. The sum of these divisors (counting 901) is 1, the average is 0.25.

Base conversion 901

Base	System	Value
2	Binary	1110000101
3	Ternary	1020101
4	Quaternary	32011
5	Quinary	12101
6	Senary	4101
8	Octal	1605
10	Decimal	901
12	Duodecimal	631
16	Hexadecimal	385
20	Vigesimal	251
36	Base36	p1

Cryptographic Hash Functions

md5	892c91e0a653ba19df81a90f89d99bcd
sha1	a071f3cf900d868205b8cc4c7e6aa7885cac3643
sha256	fa88d374b9cf5e059fad4a2fe406feae4c49cbf4803083ec521d3c75ee22557c
sha512	1ee5901c208e6cef223aa10ff7e5fe821b71abcca8be32f8525d6a07cd9679839c246c43c9d60013a5075b11e9bc8712a298d97a27c31cfccc1f100a62c35fe1
ripemd-160	92fd83f517eedfee2a34b1233a7eb18bee595bf6

901 as geometric shapes

Circle

Radius = n

Diameter	1802
Circumference	5661.1499617688
Area	2550348.0577768

Sphere

Radius = n

Volume	3063818133.4093
Surface area	10201392.231107
Circumference	5661.1499617688

Square

Length = n

Perimeter	3604
Area	811801
Diagonal	1274.2064196982

Cube

Length = n

Surface area	4870806
Volume	731432701
Space diagonal	1560.5777776196

Equilateral Triangle

Length = n

Perimeter	2703
Area	351520.14440881
Altitude	780.28888880978

Triangular Pyramid

Length = n

Surface area	351520.14440881
Volume	86200170.476449
Height	424.73547323272