Math question: If a number is divisible by 3, 4, 5, and 6, and leaves a remainder of 1 when divided by 7, what is that number?

To find the number, we need the least common multiple (LCM) of 3, 4, 5, and 6, which is 60. Now, let's add 1 to multiples of 7 until we find a number that is divisible by 60. Starting from 1, 8, 15, 22, ..., 71, 78, 85, 92, 99, 106, 113, 120, 127, 134, 141, 148, 155, 162, 169, 176, 183, 190, 197, 204. Ah yes, 204 is divisible by 3, 4, 5, and 6, also leaving a remainder of 1 when divided by 7. Therefore, the number we seek is 204.

Math question: If you multiply two integers, x and y, such that x is a multiple of 29, and y is a multiple of 3, and their sum is 87, what is the value of x + y?

Let's assume x = 29a and y = 3b, where a and b are integers. Since the sum of x and y is 87, we get the equation 29a + 3b = 87. If we solve this equation, we find that a = 2 and b = 21. Thus, x = 29*2 = 58 and y = 3*21 = 63. Finally, the value of x + y is 58 + 63 = 121.

Question: In a number puzzle, if 87 is multiplied by a three-digit number, what is the minimum value of that number so that the product is greater than 10,000 and divisible by 3?

To find the minimum value of a three-digit number 'x', we need to calculate the smallest multiple of 87 that is both larger than 10,000 and divisible by 3. The smallest multiple of 87 larger than 10,000 is 10,044. In order to find the minimum value of 'x' that satisfies our requirements, we divide 10,044 by 3 and round up to the nearest whole number. Therefore, the minimum value of 'x' is 3,348. By multiplying 87 by the minimum value 'x' (87 * 3,348), we get 288,876. Thus, 288,876 is the answer.

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

87 (number)

87 is an odd 2-digits composite number following 86 and preceding 88. In scientific notation, it is written as 8.7 × 10^1. The sum of its digits is 15. It has a total of 2 prime factors and 4 positive divisors. There are 56 positive integers (up to 87) that are relatively prime to 87.

Interesting facts

87 has 4 divisors, whose sum is 120
The reverse of 87 is 78
Previous prime number is 3

Basic properties

Is Prime? no
Number parity odd
Number length 2
Sum of Digits 15
Digital Root 6

Name

Name	eighty-seven

Notation

Scientific notation	8.7 × 10^1
Engineering notation	8.7 × 10^0

Prime Factorization of 87

Prime Factorization 3 × 29

Composite number

ω	Distinct Factors	2	Total number of distinct prime factors
Ω	Total Factors	2	Total number of prime factors
rad	Radical	87	Product of the distinct prime numbers

The prime factorization of 87 is 3 × 29. Since it has a total of 2 prime factors.

Most popular turbo-numbers

2, 8, 16, 98, 836, 533, 8301, 674, 10732, 32660, 382237, 399276, 2508320, 2983851, 63630026, 84320355, 669059240, 190698953, 3582315583, 5617684687

Basic calculations (n = 87)

Multiplication

n×y

n×2	174
n×3	261
n×4	348
n×5	435

Division

n÷y

n÷2	43.5
n÷3	29
n÷3	21.75
n÷5	17.4

Exponentiation

n^y

n²	7569
n³	658503
n⁴	57289761
n⁵	4984209207

Nth Root

^y√n

²√n	9.3273790530888
³√n	4.4310476216936
⁴√n	3.0540758099774
⁵√n	2.4428896557374

Divisors of 87

1, 3, 29, 87

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	-86	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 87 can be divided by 4 positive divisors. The sum of these divisors (counting 87) is 1, the average is 0.25.

Base conversion 87

Base	System	Value
2	Binary	1010111
3	Ternary	10020
4	Quaternary	1113
5	Quinary	322
6	Senary	223
8	Octal	127
10	Decimal	87
12	Duodecimal	73
16	Hexadecimal	57
20	Vigesimal	47
36	Base36	2f

Cryptographic Hash Functions

md5	c7e1249ffc03eb9ded908c236bd1996d
sha1	e62d7f1eb43d87c202d2f164ba61297e71be80f4
sha256	bdd2d3af3a5a1213497d4f1f7bfcda898274fe9cb5401bbc0190885664708fc2
sha512	838eb538a86499c61ee2f47a4d94114a03a623c8f70b95dd0d74e552c8448de53aa3a53b3682cff76022a3edb8f08dd2fd48a2c3614e7fb3b8a3ce1d1e5662bc
ripemd-160	fae770526d9d9d6afba67a5a23f0251dbcde8f62

87 as geometric shapes

Circle

Radius = n

Diameter	174
Circumference	546.63712172462
Area	23778.714795021

Sphere

Radius = n

Volume	2758330.9162225
Surface area	95114.859180085
Circumference	546.63712172462

Square

Length = n

Perimeter	348
Area	7569
Diagonal	123.03657992646

Cube

Length = n

Surface area	45414
Volume	658503
Space diagonal	150.68842025849

Equilateral Triangle

Length = n

Perimeter	261
Area	3277.4731406222
Altitude	75.344210129246

Triangular Pyramid

Length = n

Surface area	3277.4731406222
Volume	77605.322788614
Height	41.01219330882