Math question: What is the sum of all odd numbers between 100 and 200, inclusive, excluding 161?

To find the sum, first, let's identify the odd numbers between 100 and 200 (excluding 161). These numbers are: 101, 103, 105, 107, 109, 111, 113, 115, 117, 119, 121, 123, 125, 127, 129, 131, 133, 135, 137, 139, 141, 143, 145, 147, 149, 151, 153, 155, 157, 159, 163, 165, 167, 169, 171, 173, 175, 177, 179, 181, 183, 185, 187, 189, 191, 193, 195, 197, 199. To find the sum, add all these numbers: 101 + 103 + 105 + ... + 197 + 199 = 7525. Therefore, the sum of all odd numbers between 100 and 200 (excluding 161) is 7525.

Math question: What is the sum of the multiples of 7 between 161 and 200 (inclusive)?

To find the answer, we list out the multiples of 7 between 161 and 200: 161, 168, 175, 182, 189, 196. Adding all these numbers, we get 1051. Therefore, the sum of the multiples of 7 between 161 and 200 is 1051. These multiples demonstrate a pattern where each number is obtained by increasing the previous multiple by 7. Analyzing this sequence can reveal interesting mathematical properties and paves the way for exploring divisibility rules, modular arithmetic, and other advanced concepts.

Math question: What is the sum of the first ten natural numbers greater than 150, excluding multiples of 3, that is, the sum of numbers from 151 to 160 inclusive?

To find the sum, we first determine the number of terms which exclude multiples of 3. The multiples of 3 between 150 and 160 are 150, 153, and 156. Thus, there are 10 – 3 = 7 terms to sum. The first term is 151, and the last term is 160. To find the sum of an arithmetic series, we use the formula Sn = (n/2)(2a + (n-1)d), where Sn is the sum, n is the number of terms, a is the first term, and d is the common difference. The common difference between consecutive terms is 1. Plugging in the values, Sn = (7/2)(2(151) + (7-1)1) = (7/2)(302 + 6) = (7/2)(308) = 1078. Therefore, the sum of the first ten natural numbers greater than 150, excluding multiples of 3, is 1078.

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

161 (number)

161 is an odd 3-digits composite number following 160 and preceding 162. In scientific notation, it is written as 1.61 × 10^2. The sum of its digits is 8. It has a total of 2 prime factors and 4 positive divisors. There are 132 positive integers (up to 161) that are relatively prime to 161.

Interesting facts

161 has 4 divisors, whose sum is 192
The reverse of 161 is 161
Previous prime number is 7

Basic properties

Is Prime? no
Number parity odd
Number length 3
Sum of Digits 8
Digital Root 8

Name

Name	one hundred sixty-one

Notation

Scientific notation	1.61 × 10^2
Engineering notation	1.61 × 10^0

Prime Factorization of 161

Prime Factorization 7 × 23

Composite number

ω	Distinct Factors	2	Total number of distinct prime factors
Ω	Total Factors	2	Total number of prime factors
rad	Radical	161	Product of the distinct prime numbers

The prime factorization of 161 is 7 × 23. Since it has a total of 2 prime factors.

Most popular turbo-numbers

5, 2, 22, 50, 982, 809, 7117, 1271, 43948, 49946, 697758, 538409, 3521988, 1669129, 98928399, 17926244, 531900927, 874815666, 2093873923, 472770732

Basic calculations (n = 161)

Multiplication

n×y

n×2	322
n×3	483
n×4	644
n×5	805

Division

n÷y

n÷2	80.5
n÷3	53.666666666667
n÷3	40.25
n÷5	32.2

Exponentiation

n^y

n²	25921
n³	4173281
n⁴	671898241
n⁵	108175616801

Nth Root

^y√n

²√n	12.68857754045
³√n	5.4401218254148
⁴√n	3.5621029660089
⁵√n	2.7629000559623

Divisors of 161

1, 7, 23, 161

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	-160	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 161 can be divided by 4 positive divisors. The sum of these divisors (counting 161) is 1, the average is 0.25.

Base conversion 161

Base	System	Value
2	Binary	10100001
3	Ternary	12222
4	Quaternary	2201
5	Quinary	1121
6	Senary	425
8	Octal	241
10	Decimal	161
12	Duodecimal	115
16	Hexadecimal	a1
20	Vigesimal	81
36	Base36	4h

Cryptographic Hash Functions

md5	bd4c9ab730f5513206b999ec0d90d1fb
sha1	0159a99ed28b0581890608d24ada9decc4874197
sha256	bb668ca95563216088b98a62557fa1e26802563f3919ac78ae30533bb9ed422c
sha512	07a7d28cfe5e19ac5a34711be9c255075b92ca6251fe1393a638c2f9573f2f0e429eac69be26aabfdde78a3552703c2ef9f046d84b03a90eff981f26ecde3828
ripemd-160	e933ff4ec164990e935cffa88792d572a7bd52f4

161 as geometric shapes

Circle

Radius = n

Diameter	322
Circumference	1011.5928344559
Area	81433.223173701

Sphere

Radius = n

Volume	17480998.574621
Surface area	325732.8926948
Circumference	1011.5928344559

Square

Length = n

Perimeter	644
Area	25921
Diagonal	227.68838354207

Cube

Length = n

Surface area	155526
Volume	4173281
Space diagonal	278.86018001859

Equilateral Triangle

Length = n

Perimeter	483
Area	11224.122245748
Altitude	139.43009000929

Triangular Pyramid

Length = n

Surface area	11224.122245748
Volume	491825.88248283
Height	75.896127847356