Math Question: What is the sum of all the prime numbers less than 3164?

To find the sum of all prime numbers below 3164, we need to identify these primes by checking divisibility up to the square root of 3164. By applying a prime sieve algorithm, we determine that the prime numbers less than 3164 are 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, and 997. By adding all these primes, we find that the sum of primes less than 3164 is 996661.

Question: What is the square root of 3164 divided by the sum of the first 20 prime numbers?

To find the square root of 3164, we evaluate √3164, which equals approximately 56.23. Now, let's calculate the sum of the first 20 prime numbers: 2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59 + 61 + 67 + 71 = 639. Next, we divide the square root of 3164 (56.23) by the sum of the first 20 prime numbers (639): 56.23 ÷ 639 ≈ 0.0879. Therefore, when dividing the square root of 3164 by the sum of the first 20 prime numbers, the result is approximately 0.0879.

Math question: What is the sum of the digits of the number 3164?

To find the sum of the digits, we break down the number 3164. The digit 3 represents 3000, the digit 1 represents 100, the digit 6 represents 60, and the digit 4 represents 4. Adding them together, we have 3000 + 100 + 60 + 4 = 3164. Thus, the sum of the digits of 3164 is 3 + 1 + 6 + 4 = 14.

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

3164 (number)

3164 is an even 4-digits composite number following 3163 and preceding 3165. In scientific notation, it is written as 3.164 × 10^3. The sum of its digits is 14. It has a total of 4 prime factors and 12 positive divisors. There are 1344 positive integers (up to 3164) that are relatively prime to 3164.

Interesting facts

3164 has 12 divisors, whose sum is 6384
The reverse of 3164 is 4613
Previous prime number is 7

Basic properties

Is Prime? no
Number parity even
Number length 4
Sum of Digits 14
Digital Root 5

Name

Name	three thousand one hundred sixty-four

Notation

Scientific notation	3.164 × 10^3
Engineering notation	3.164 × 10^3

Prime Factorization of 3164

Prime Factorization 2 × 2 × 7 × 113

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	4	Total number of prime factors
rad	Radical	1582	Product of the distinct prime numbers

The prime factorization of 3164 is 2 × 2 × 7 × 113. Since it has a total of 4 prime factors.

Most popular turbo-numbers

9, 1, 50, 31, 637, 771, 685, 783, 15584, 44120, 658900, 437528, 5483108, 9973964, 44286547, 92535018, 318634587, 743908880, 3069990603, 670267585

Basic calculations (n = 3164)

Multiplication

n×y

n×2	6328
n×3	9492
n×4	12656
n×5	15820

Division

n÷y

n÷2	1582
n÷3	1054.6666666667
n÷3	791
n÷5	632.8

Exponentiation

n^y

n²	10010896
n³	31674474944
n⁴	100218038722816
n⁵	317089874518989824

Nth Root

^y√n

²√n	56.249444441701
³√n	14.680656990348
⁴√n	7.4999629626886
⁵√n	5.0124181623065

Divisors of 3164

1, 2, 4, 7, 14, 28, 113, 226, 452, 791, 1582, 3164

12 divisors

τ	Total Divisors	12	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-3163	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.083333333333333	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	12	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 3164 can be divided by 12 positive divisors. The sum of these divisors (counting 3164) is 1, the average is 0.083333333333333.

Base conversion 3164

Base	System	Value
2	Binary	110001011100
3	Ternary	11100012
4	Quaternary	301130
5	Quinary	100124
6	Senary	22352
8	Octal	6134
10	Decimal	3164
12	Duodecimal	19b8
16	Hexadecimal	c5c
20	Vigesimal	7i4
36	Base36	2fw

Cryptographic Hash Functions

md5	98b17f068d5d9b7668e19fb8ae470841
sha1	cbfe42b5899c620643436dbbed6ee9bb2decde69
sha256	de27088fdf91b0a55c1117c3d43ad65853d103bbfc61fe419c7324cdc168d0e3
sha512	8c72721ff2f3ab1c58511b29492ce23d464125b9527ea0541154b9ec6d2be0588ad26030c083c0de7e89cf998ee3b00810e1f2b23dc3111b36fbd290e0de52b0
ripemd-160	4560d60f038795dd14dfc6eaaa53e6bc752b88cc

3164 as geometric shapes

Circle

Radius = n

Diameter	6328
Circumference	19879.998311916
Area	31450157.329451

Sphere

Radius = n

Volume	132677730387.18
Surface area	125800629.31781
Circumference	19879.998311916

Square

Length = n

Perimeter	12656
Area	10010896
Diagonal	4474.5717113485

Cube

Length = n

Surface area	60065376
Volume	31674474944
Space diagonal	5480.2087551479

Equilateral Triangle

Length = n

Perimeter	9492
Area	4334845.125322
Altitude	2740.104377574

Triangular Pyramid

Length = n

Surface area	4334845.125322
Volume	3732872670.571
Height	1491.5239037828