Math question: What is the smallest whole number x such that 3x is a perfect square and the sum of the digits of x is equal to 22?

To find such x, let's consider the prime factorization of 2881: 2881 = 7^2 × 17^2. We need 3x to be a perfect square, which means the exponent of each prime factor in 3x should be even. Thus, we require 3x to be divisible by 7^2 and 17^2. Smallest x that satisfies this is obtained by dividing the exponents by 2, so x = 7 × 17 = 119. The sum of the digits of 119 is 1 + 1 + 9 = 11. However, the sum of the digits of x should be 22, which is not possible for the given number 2881. Hence, there is no whole number x such that 3x is a perfect square and the sum of its digits is 22.

Question: What is the highest power of 2 that evenly divides into the number 2881?

To find the highest power of 2 that evenly divides into 2881, we can repeatedly divide it by 2 until we get an odd number. Starting with 2881, we divide it by 2 and get 1440 with a remainder of 1. Again, dividing 1440 by 2 gives 720 with a remainder of 0. Dividing 720 by 2 gives 360 with a remainder of 0. Dividing 360 by 2 gives 180 with a remainder of 0. Continuing this process, we finally get 5 with a remainder of 1. Since 5 is odd, this means we cannot divide any further by 2. Hence, the highest power of 2 that evenly divides into 2881 is 2^5 = 32.

What is the sum of all the prime numbers less than or equal to 2881? (Up to 200 characters long)

The sum of all prime numbers less than or equal to 2881 is 3454601. (Up to 500 characters long) To find the solution, we need to determine all the prime numbers less than or equal to 2881. We start by checking divisibility of numbers up to the square root of 2881. By using the Sieve of Eratosthenes or an efficient primality test, we can identify the primes as: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503, 509, 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599, 601, 607, 613, 617, 619, 631, 641, 643, 647, 653, 659, 661, 673, 677, 683, 691, 701, 709, 719, 727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 797, 809, 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, 877, 881, 883, 887, 907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997, 1009, 1013, 1019, 1021, 1031, 1033, 1039, 1049, 1051, 1061, 1063, 1069, 1087, 1091, 1093, 1097, 1103, 1109, 1117

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

2881 (number)

2881 is an odd 4-digits composite number following 2880 and preceding 2882. In scientific notation, it is written as 2.881 × 10^3. The sum of its digits is 19. It has a total of 2 prime factors and 4 positive divisors. There are 2772 positive integers (up to 2881) that are relatively prime to 2881.

Interesting facts

2881 has 4 divisors, whose sum is 2992
The reverse of 2881 is 1882
Previous prime number is 43

Basic properties

Is Prime? no
Number parity odd
Number length 4
Sum of Digits 19
Digital Root 1

Name

Name	two thousand eight hundred eighty-one

Notation

Scientific notation	2.881 × 10^3
Engineering notation	2.881 × 10^3

Prime Factorization of 2881

Prime Factorization 43 × 67

Composite number

ω	Distinct Factors	2	Total number of distinct prime factors
Ω	Total Factors	2	Total number of prime factors
rad	Radical	2881	Product of the distinct prime numbers

The prime factorization of 2881 is 43 × 67. Since it has a total of 2 prime factors.

Most popular turbo-numbers

7, 6, 53, 31, 253, 88, 396, 9441, 72461, 96470, 469118, 215281, 7534782, 544729, 78259278, 48595707, 548799812, 334604119, 7302938003, 176289716

Basic calculations (n = 2881)

Multiplication

n×y

n×2	5762
n×3	8643
n×4	11524
n×5	14405

Division

n÷y

n÷2	1440.5
n÷3	960.33333333333
n÷3	720.25
n÷5	576.2

Exponentiation

n^y

n²	8300161
n³	23912763841
n⁴	68892672625921
n⁵	198479789835278401

Nth Root

^y√n

²√n	53.674947601279
³√n	14.229219737269
⁴√n	7.3263188301683
⁵√n	4.9193605228041

Divisors of 2881

1, 43, 67, 2881

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	-2880	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 2881 can be divided by 4 positive divisors. The sum of these divisors (counting 2881) is 1, the average is 0.25.

Base conversion 2881

Base	System	Value
2	Binary	101101000001
3	Ternary	10221201
4	Quaternary	231001
5	Quinary	43011
6	Senary	21201
8	Octal	5501
10	Decimal	2881
12	Duodecimal	1801
16	Hexadecimal	b41
20	Vigesimal	741
36	Base36	281

Cryptographic Hash Functions

md5	445e1050156c6ae8c082a8422bb7dfc0
sha1	8f66fb2c5891725f0f13699624db23a610c94764
sha256	be749fcc6211147583baa096673ca97a25a67ea40456a0dc064997f60675445c
sha512	b9cfc1d0bc417b4ec5fdfb6785315a84a72e96b62736718d4ab708affa90864ccbb09942b5a2993126b48ee063d5ad77f3cfe127c6e7bbc15ded0183a0b79775
ripemd-160	d7c682823e11f8f7495c1273850973bbd75fbfc6

2881 as geometric shapes

Circle

Radius = n

Diameter	5762
Circumference	18101.856869984
Area	26075724.821213

Sphere

Radius = n

Volume	100165550946.55
Surface area	104302899.28485
Circumference	18101.856869984

Square

Length = n

Perimeter	11524
Area	8300161
Diagonal	4074.3492731969

Cube

Length = n

Surface area	49800966
Volume	23912763841
Space diagonal	4990.0383766059

Equilateral Triangle

Length = n

Perimeter	8643
Area	3594075.1407504
Altitude	2495.019188303

Triangular Pyramid

Length = n

Surface area	3594075.1407504
Volume	2818146244.8139
Height	1358.116424399