Math question: Find the sum of all the prime numbers less than 1966.

To find the sum of all prime numbers less than 1966, we can start by listing out the primes in descending order. Prime numbers less than 1966 include 1949, 1931, 1913, 1907, 1901, and so on. We continue this process until we reach the number 2, which is the smallest prime. Calculating the sum: 1949 + 1931 + 1913 + 1907 + 1901 + ... + 2, we obtain a sum of 804,247. In conclusion, the sum of all the prime numbers less than 1966 is 804,247.

Question: What is the sum of all the prime numbers between 1966 and its square root (rounded up)?

To find the answer, we need to determine the prime numbers between 1966 and its square root. The square root of 1966 is approximately 44.34, so the prime numbers to consider are 1967, 1973, 1979, 1987, 1993, and 1997. Adding them up: 1967 + 1973 + 1979 + 1987 + 1993 + 1997 = 11,096 Therefore, the sum of all prime numbers between 1966 and its square root (rounded up) is 11,096.

What is the sum of the first 100 positive integers starting from 1966?

When adding the first 100 positive integers (from 1 to 100), we can use the formula for the sum of an arithmetic series: S = (n/2)(a + l), where S is the sum, n is the number of terms, a is the first term, and l is the last term. In this case, a = 1966 and l = 2065, since 1966 + 99 = 2065. We substitute these values into the formula: S = (100/2)(1966 + 2065) = 50 × 4031 = 201,550. Therefore, the sum of the first 100 positive integers starting from 1966 is 201,550.

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

1966 (number)

1966 is an even 4-digits composite number following 1965 and preceding 1967. In scientific notation, it is written as 1.966 × 10^3. The sum of its digits is 22. It has a total of 2 prime factors and 4 positive divisors. There are 982 positive integers (up to 1966) that are relatively prime to 1966.

Interesting facts

1966 has 4 divisors, whose sum is 2952
The reverse of 1966 is 6691
Previous prime number is 2

Basic properties

Is Prime? no
Number parity even
Number length 4
Sum of Digits 22
Digital Root 4

Name

Name	one thousand nine hundred sixty-six

Notation

Scientific notation	1.966 × 10^3
Engineering notation	1.966 × 10^3

Prime Factorization of 1966

Prime Factorization 2 × 983

Composite number

ω	Distinct Factors	2	Total number of distinct prime factors
Ω	Total Factors	2	Total number of prime factors
rad	Radical	1966	Product of the distinct prime numbers

The prime factorization of 1966 is 2 × 983. Since it has a total of 2 prime factors.

Most popular turbo-numbers

1, 8, 12, 58, 995, 166, 7887, 5136, 79193, 2478, 447919, 10841, 2698170, 3808341, 20980865, 23482779, 284405996, 291238452, 8208724963, 132744651

Basic calculations (n = 1966)

Multiplication

n×y

n×2	3932
n×3	5898
n×4	7864
n×5	9830

Division

n÷y

n÷2	983
n÷3	655.33333333333
n÷3	491.5
n÷5	393.2

Exponentiation

n^y

n²	3865156
n³	7598896696
n⁴	14939430904336
n⁵	29370921157924576

Nth Root

^y√n

²√n	44.339598554791
³√n	12.527406533305
⁴√n	6.6587985819358
⁵√n	4.5573953271432

Divisors of 1966

1, 2, 983, 1966

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	-1965	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 1966 can be divided by 4 positive divisors. The sum of these divisors (counting 1966) is 1, the average is 0.25.

Base conversion 1966

Base	System	Value
2	Binary	11110101110
3	Ternary	2200211
4	Quaternary	132232
5	Quinary	30331
6	Senary	13034
8	Octal	3656
10	Decimal	1966
12	Duodecimal	117a
16	Hexadecimal	7ae
20	Vigesimal	4i6
36	Base36	1im

Cryptographic Hash Functions

md5	3683af9d6f6c06acee72992f2977f67e
sha1	58000b8f5d8c8a9b2b84e54e46ac9ded05558f84
sha256	c00cf031587d12c309358e85de8876b2738d3ef2cadd88db6b07318ea0ba8973
sha512	44dc8f09e67b4ebf59cafc5845b79c30bc519e0185c490acc134b1db31cc04b8cee37f4ce56d16e553ea31c04f68db093597567f307dae3dcf2de8f9b193fb29
ripemd-160	d58db63c8286ec10aaf35c95fbe1ada71d5c6395

1966 as geometric shapes

Circle

Radius = n

Diameter	3932
Circumference	12352.742313915
Area	12142745.694579

Sphere

Radius = n

Volume	31830184047.388
Surface area	48570982.778314
Circumference	12352.742313915

Square

Length = n

Perimeter	7864
Area	3865156
Diagonal	2780.3438636255

Cube

Length = n

Surface area	23190936
Volume	7598896696
Space diagonal	3405.2118876804

Equilateral Triangle

Length = n

Perimeter	5898
Area	1673661.6427949
Altitude	1702.6059438402

Triangular Pyramid

Length = n

Surface area	1673661.6427949
Volume	895538563.87961
Height	926.78128787517