Question: What is the least common multiple of 6001 and 1,000?

To find the least common multiple (LCM) of 6001 and 1,000, we need to factorize the numbers into their prime factors. The prime factorization of 6001 is 6001 = 59 × 101, while the prime factorization of 1,000 is 1000 = 2^3 × 5^3. Next, we need to take the highest exponent for each prime factor that appears in either number. In this case, the prime factors are 2, 5, 59, and 101. Since the highest exponent of 2 is 3, the highest exponent of 5 is 3, and the exponents of 59 and 101 are both 1, we multiply these prime factors together. Hence, the LCM of 6001 and 1,000 is: LCM(6001, 1000) = 2^3 × 5^3 × 59 × 101 = 1,180,200. Therefore, the least common multiple of 6001 and 1,000 is 1,180,200.

Math Question: What is the closest prime number to 6001?

By checking prime numbers greater than 6001, we find that the next prime number is 6007. To verify, factorizing 6001 through 6007, we see that none divide evenly except for themselves and 1. Therefore, 6007 is the closest prime number to 6001.

Question: What is the sum of the first 500 natural numbers, excluding multiples of 7, from 6001?

To find the sum, we can calculate the sum of the first 500 natural numbers, S1, and the sum of the multiples of 7 up to 6000, S2. The sum of an arithmetic sequence can be found using the formula Sn = (n/2)(a + l), where Sn is the sum of the sequence, n is the number of terms, a is the first term, and l is the last term. Using this formula, we can first find S1: Sn = (500/2)(1 + 500) = 125250. Next, we calculate the sum of the multiples of 7, S2: Sn = (n/2)(a + l) = (857/2)(7 + 5992) = 2457772. Finally, we subtract S2 from S1 to get the sum of the first 500 natural numbers, excluding multiples of 7, from 6001: 125250 - 2457772 = -2332522. So, the answer is -2332522.

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

6001 (number)

6001 is an odd 4-digits composite number following 6000 and preceding 6002. In scientific notation, it is written as 6.001 × 10^3. The sum of its digits is 7. It has a total of 2 prime factors and 4 positive divisors. There are 5632 positive integers (up to 6001) that are relatively prime to 6001.

Interesting facts

6001 has 4 divisors, whose sum is 6372
The reverse of 6001 is 1006
Previous prime number is 17

Basic properties

Is Prime? no
Number parity odd
Number length 4
Sum of Digits 7
Digital Root 7

Name

Name	six thousand one

Notation

Scientific notation	6.001 × 10^3
Engineering notation	6.001 × 10^3

Prime Factorization of 6001

Prime Factorization 17 × 353

Composite number

ω	Distinct Factors	2	Total number of distinct prime factors
Ω	Total Factors	2	Total number of prime factors
rad	Radical	6001	Product of the distinct prime numbers

The prime factorization of 6001 is 17 × 353. Since it has a total of 2 prime factors.

Most popular turbo-numbers

3, 7, 41, 52, 558, 709, 5505, 7165, 7823, 40726, 649787, 652606, 5197907, 3510076, 8575367, 32757515, 585893121, 765616993, 7704537267, 8638938579

Basic calculations (n = 6001)

Multiplication

n×y

n×2	12002
n×3	18003
n×4	24004
n×5	30005

Division

n÷y

n÷2	3000.5
n÷3	2000.3333333333
n÷3	1500.25
n÷5	1200.2

Exponentiation

n^y

n²	36012001
n³	216108018001
n⁴	1296864216024001
n⁵	7782482160360030001

Nth Root

^y√n

²√n	77.466121627457
³√n	18.172215383683
⁴√n	8.8014840582403
⁵√n	5.6969804006426

Divisors of 6001

1, 17, 353, 6001

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	-6000	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 6001 can be divided by 4 positive divisors. The sum of these divisors (counting 6001) is 1, the average is 0.25.

Base conversion 6001

Base	System	Value
2	Binary	1011101110001
3	Ternary	22020021
4	Quaternary	1131301
5	Quinary	143001
6	Senary	43441
8	Octal	13561
10	Decimal	6001
12	Duodecimal	3581
16	Hexadecimal	1771
20	Vigesimal	f01
36	Base36	4mp

Cryptographic Hash Functions

md5	ea1818cbe59c23b20f1a10a8aa083a82
sha1	230a52031efba3e24c2b24af9fa4ad4f73672048
sha256	f4e99211184a248ac2b1bb736b2f241982bdbfb599a6a1b62d5c50a1cb7ddbe6
sha512	4c69f9b846f92241900c2a8851f728e40274c8f7cbbd0fbfde1c326d4a109e7a572d261ac278662e2e1b5743cabe55878d4d7652a5ccc4952402e949ca9264cf
ripemd-160	c22e1cc3ff0cfcb0f13b9a980a6bee7b07be76ad

6001 as geometric shapes

Circle

Radius = n

Diameter	12002
Circumference	37705.395028385
Area	113135037.78267

Sphere

Radius = n

Volume	905231148978.39
Surface area	452540151.13067
Circumference	37705.395028385

Square

Length = n

Perimeter	24004
Area	36012001
Diagonal	8486.6955878009

Cube

Length = n

Surface area	216072006
Volume	216108018001
Space diagonal	10394.036896221

Equilateral Triangle

Length = n

Perimeter	18003
Area	15593653.853555
Altitude	5197.0184481104

Triangular Pyramid

Length = n

Surface area	15593653.853555
Volume	25468574166.215
Height	2828.898529267