Question: If a number, when divided by 9, leaves a remainder of 3, by 11 leaves a remainder of 4, and is a perfect square, what is the number?

Let's solve this problem step by step. First, a number that leaves a remainder of 3 when divided by 9 must be in the form of 9k + 3, where k is an integer. Now, let's test some numbers to find a solution. Starting from 9k + 3 = 7881, we solve for k and find that k = 876. Next, we need a number in the form of 11k + 4, where k is an integer. Starting from 11k + 4 = 7881, we solve for k and find that k = 715. Lastly, as the number should be a perfect square, let's take the square root of 7881. Taking the square root, we get approximately 88.77. Now we check if 88.77 squared equals 7881, but it does not. Therefore, there is no number less than 7881 that satisfies all the given conditions.

Math question: What is the smallest positive integer that, when multiplied by 7881, gives a product with a digit sum equal to the sum of the digits of 7881?

To find the smallest positive integer, we proceed as follows. The sum of digits of 7881 is 7 + 8 + 8 + 1 = 24. We need to find the smallest positive integer n such that the digit sum of 7881 * n is also 24. Starting with n = 1, we multiply: 7881 * 1 = 7881, and the digit sum is 7 + 8 + 8 + 1 = 24, which is equal to the sum of digits of 7881. Therefore, the smallest positive integer that satisfies the condition is 1.

What is the largest prime factor of the number 7881?

The largest prime factor of 7881 is 113.

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

7881 (number)

7881 is an odd 4-digits composite number following 7880 and preceding 7882. In scientific notation, it is written as 7.881 × 10^3. The sum of its digits is 24. It has a total of 2 prime factors and 4 positive divisors. There are 5040 positive integers (up to 7881) that are relatively prime to 7881.

Interesting facts

7881 has 4 divisors, whose sum is 8132
The reverse of 7881 is 1887
Previous prime number is 213

Basic properties

Is Prime? no
Number parity odd
Number length 4
Sum of Digits 24
Digital Root 6

Name

Name	seven thousand eight hundred eighty-one

Notation

Scientific notation	7.881 × 10^3
Engineering notation	7.881 × 10^3

Prime Factorization of 7881

Prime Factorization 213 × 37

Composite number

ω	Distinct Factors	2	Total number of distinct prime factors
Ω	Total Factors	2	Total number of prime factors
rad	Radical	7881	Product of the distinct prime numbers

The prime factorization of 7881 is 213 × 37. Since it has a total of 2 prime factors.

Most popular turbo-numbers

1, 6, 43, 43, 506, 344, 6510, 3079, 18941, 39239, 234993, 744074, 4570854, 8011033, 85799677, 16385324, 220281594, 333698687, 7167288647, 5176711044

Basic calculations (n = 7881)

Multiplication

n×y

n×2	15762
n×3	23643
n×4	31524
n×5	39405

Division

n÷y

n÷2	3940.5
n÷3	2627
n÷3	1970.25
n÷5	1576.2

Exponentiation

n^y

n²	62110161
n³	489490178841
n⁴	3857672099445921
n⁵	3.0402313815733E+19

Nth Root

^y√n

²√n	88.774996479865
³√n	19.900337527839
⁴√n	9.4220484227086
⁵√n	6.016116886139

Divisors of 7881

1, 37, 213, 7881

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	-7880	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 7881 can be divided by 4 positive divisors. The sum of these divisors (counting 7881) is 1, the average is 0.25.

Base conversion 7881

Base	System	Value
2	Binary	1111011001001
3	Ternary	101210220
4	Quaternary	1323021
5	Quinary	223011
6	Senary	100253
8	Octal	17311
10	Decimal	7881
12	Duodecimal	4689
16	Hexadecimal	1ec9
20	Vigesimal	je1
36	Base36	62x

Cryptographic Hash Functions

md5	7c9e9afa5a9dc68ccaf27d9effeb9383
sha1	3bd5717abb673d0c26b7f6356e86610bad746385
sha256	494f8b426e8568d7592205a0103eb0634f00e2b400c22e0513426569ec55d18f
sha512	812445bde25155c0ce3d6044db17e2816113b4ddea64fd5a3f2c0d62c2d0a5b91bc6c607ea948f93e7510697822f431f9c7a0b4fcbf5c7983a8e5d8d49c6e637
ripemd-160	f23de211b289be6a499e7ce96f37566aff0c97e1

7881 as geometric shapes

Circle

Radius = n

Diameter	15762
Circumference	49517.783405882
Area	195124825.51088

Sphere

Radius = n

Volume	2050371666468.3
Surface area	780499302.04352
Circumference	49517.783405882

Square

Length = n

Perimeter	31524
Area	62110161
Diagonal	11145.417085062

Cube

Length = n

Surface area	372660966
Volume	489490178841
Space diagonal	13650.29241445

Equilateral Triangle

Length = n

Perimeter	23643
Area	26894488.629571
Altitude	6825.1462072252

Triangular Pyramid

Length = n

Surface area	26894488.629571
Volume	57686970797.115
Height	3715.1390283541