Math question: If I multiply a number by 2 and then add 3 to the result, the answer is 231. What is the original number?

To find the original number, we can solve the equation 2x + 3 = 231, where x represents the original number. Substituting the values, we have 2x = 231 - 3, which simplifies to 2x = 228. Dividing both sides by 2, we get x = 114. Thus, the original number is 114.

Question: In a certain sequence, each term is the sum of the previous two terms. If the third term is 114, what is the seventh term?

To find the seventh term in this sequence, we can use recursion or the formula for the Fibonacci sequence. Let's proceed with the formula approach. The formula for the nth term of the Fibonacci sequence is given by Fn = (phi^n - (1-phi)^n) / sqrt(5), where phi is the Golden Ratio (approximately 1.61803). Given the third term is 114, we can rearrange the formula to solve for the seventh term (Fn). Substituting n = 7, we get: Fn = (phi^7 - (1-phi)^7) / sqrt(5) Evaluating this expression, we find: Fn ≈ (1.61803^7 - (1-1.61803)^7) / sqrt(5) ≈ (11.09017 - (-3.51223)) / sqrt(5) ≈ 14.60240 / sqrt(5) ≈ 6.85410 Hence, the seventh term of the sequence is approximately 6.85410.

Math question: If the number 114 is divided by 6, what is the remainder?

To find the remainder when 114 is divided by 6, we can use the modulo operator (%). The modulo operator returns the remainder of a division. 114 % 6 = 0 Hence, there is no remainder when 114 is divided by 6. Every multiple of 6 divides evenly into 114.

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

114 (number)

114 is an even 3-digits composite number following 113 and preceding 115. In scientific notation, it is written as 1.14 × 10^2. The sum of its digits is 6. It has a total of 3 prime factors and 8 positive divisors. There are 36 positive integers (up to 114) that are relatively prime to 114.

Interesting facts

114 has 8 divisors, whose sum is 240
The reverse of 114 is 411
Previous prime number is 19

Basic properties

Is Prime? no
Number parity even
Number length 3
Sum of Digits 6
Digital Root 6

Name

Name	one hundred fourteen

Notation

Scientific notation	1.14 × 10^2
Engineering notation	1.14 × 10^0

Prime Factorization of 114

Prime Factorization 2 × 19 × 3

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	3	Total number of prime factors
rad	Radical	114	Product of the distinct prime numbers

The prime factorization of 114 is 2 × 19 × 3. Since it has a total of 3 prime factors.

Most popular turbo-numbers

5, 3, 2, 1, 98, 729, 9995, 6556, 5630, 57985, 276345, 605324, 4954338, 7381333, 27743094, 33738255, 984728672, 167448047, 5670865993, 5202505246

Basic calculations (n = 114)

Multiplication

n×y

n×2	228
n×3	342
n×4	456
n×5	570

Division

n÷y

n÷2	57
n÷3	38
n÷3	28.5
n÷5	22.8

Exponentiation

n^y

n²	12996
n³	1481544
n⁴	168896016
n⁵	19254145824

Nth Root

^y√n

²√n	10.677078252031
³√n	4.8488075858399
⁴√n	3.2675798769168
⁵√n	2.5785821398642

Divisors of 114

1, 2, 3, 6, 19, 38, 57, 114

8 divisors

τ	Total Divisors	8	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-113	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.125	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	8	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 114 can be divided by 8 positive divisors. The sum of these divisors (counting 114) is 1, the average is 0.125.

Base conversion 114

Base	System	Value
2	Binary	1110010
3	Ternary	11020
4	Quaternary	1302
5	Quinary	424
6	Senary	310
8	Octal	162
10	Decimal	114
12	Duodecimal	96
16	Hexadecimal	72
20	Vigesimal	5e
36	Base36	36

Cryptographic Hash Functions

md5	5fd0b37cd7dbbb00f97ba6ce92bf5add
sha1	ecb7937db58ec9dea0c47db88463d85e81143032
sha256	9f1f9dce319c4700ef28ec8c53bd3cc8e6abe64c68385479ab89215806a5bdd6
sha512	cdc54b582c58882a53b65757239e62d210051466287deb731cb7d61a04909fd5283c1220c81d38a79dd1db9a32186d68507b95e5d7a6ba8685dce9ee2d7b5cc3
ripemd-160	c7f7938c1756f2afe15502770a99be433aa20dbd

114 as geometric shapes

Circle

Radius = n

Diameter	228
Circumference	716.28312501847
Area	40828.138126053

Sphere

Radius = n

Volume	6205876.99516
Surface area	163312.55250421
Circumference	716.28312501847

Square

Length = n

Perimeter	456
Area	12996
Diagonal	161.22034611053

Cube

Length = n

Surface area	77976
Volume	1481544
Space diagonal	197.45379206285

Equilateral Triangle

Length = n

Perimeter	342
Area	5627.4330737913
Altitude	98.726896031426

Triangular Pyramid

Length = n

Surface area	5627.4330737913
Volume	174601.63483771
Height	53.740115370178