Question: What is the sum of the cubes of the prime factors of 3375 when multiplied together?

To find the prime factors of 3375, we first determine that it is divisible by 3. Dividing 3375 by 3 gives us 1125. Continuing, we see that 1125 is divisible by 3 again, giving 375. Further division yields 125, which is again divisible by 5. Thus, the prime factors of 3375 are 3, 3, 3, 5, and 5. To find the sum of their cubes, we calculate (3^3 + 3^3 + 3^3 + 5^3 + 5^3), which simplifies to (27 + 27 + 27 + 125 + 125 = 331). Hence, the sum of the cubes of the prime factors of 3375 is 331.

Math question: What is the prime factorization of the number 3375?

The prime factorization of 3375 is 3 * 3 * 3 * 3 * 5 * 5 * 5. The number 3375 can be expressed as the product of its prime factors raised to their respective powers. In this case, it can be written as 3^4 * 5^3. Prime factorization is a fundamental concept in number theory and helps express large numbers as a product of smaller prime numbers, aiding in various mathematical calculations and problem-solving.

What is the cube root of 3375?

The cube root of 3375 is 15. Cubing 15 results in 3375, making it the perfect cube root for this number.

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

3375 (number)

3375 is an odd 4-digits composite number following 3374 and preceding 3376. In scientific notation, it is written as 3.375 × 10^3. The sum of its digits is 18. It has a total of 4 prime factors and 12 positive divisors. There are 1800 positive integers (up to 3375) that are relatively prime to 3375.

Interesting facts

3375 has 12 divisors, whose sum is 5704
The reverse of 3375 is 5733
Previous prime number is 5

Basic properties

Is Prime? no
Number parity odd
Number length 4
Sum of Digits 18
Digital Root 9

Name

Name	three thousand three hundred seventy-five

Notation

Scientific notation	3.375 × 10^3
Engineering notation	3.375 × 10^3

Prime Factorization of 3375

Prime Factorization 45 × 3 × 5 × 5

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	4	Total number of prime factors
rad	Radical	675	Product of the distinct prime numbers

The prime factorization of 3375 is 45 × 3 × 5 × 5. Since it has a total of 4 prime factors.

Most popular turbo-numbers

5, 7, 19, 68, 788, 470, 9541, 6997, 19690, 8029, 525142, 242753, 1599462, 6970999, 29595973, 27280751, 33784057, 135473946, 3684739274, 7279501937

Basic calculations (n = 3375)

Multiplication

n×y

n×2	6750
n×3	10125
n×4	13500
n×5	16875

Division

n÷y

n÷2	1687.5
n÷3	1125
n÷3	843.75
n÷5	675

Exponentiation

n^y

n²	11390625
n³	38443359375
n⁴	129746337890625
n⁵	437893890380859375

Nth Root

^y√n

²√n	58.094750193111
³√n	15
⁴√n	7.6219912223192
⁵√n	5.0775563919874

Divisors of 3375

1, 3, 5, 15, 25, 45, 75, 135, 225, 675, 1125, 3375

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	-3374	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 3375 can be divided by 12 positive divisors. The sum of these divisors (counting 3375) is 1, the average is 0.083333333333333.

Base conversion 3375

Base	System	Value
2	Binary	110100101111
3	Ternary	11122000
4	Quaternary	310233
5	Quinary	102000
6	Senary	23343
8	Octal	6457
10	Decimal	3375
12	Duodecimal	1b53
16	Hexadecimal	d2f
20	Vigesimal	88f
36	Base36	2lr

Cryptographic Hash Functions

md5	9b9b05072dd20d1cc3e54607b84c889b
sha1	a18271c052c703b93a7970cb0c1f46134f676e1e
sha256	cb54dc2b78efb611e99716a6e90c593e4117c4b085eb538de6b3d8ea0ef320dc
sha512	e0c1eb4db4c0bbfede39d4397b4923f62906d2a36223d9ee69531a1d0dfa820401be135878f10104ffbbc677e8f9dea7c124719b7cf51c8250871845892c9d3d
ripemd-160	9c4e268b46a0955657425e74aeeab0c473886705

3375 as geometric shapes

Circle

Radius = n

Diameter	6750
Circumference	21205.750411731
Area	35784703.819796

Sphere

Radius = n

Volume	161031167189.08
Surface area	143138815.27918
Circumference	21205.750411731

Square

Length = n

Perimeter	13500
Area	11390625
Diagonal	4772.9707730092

Cube

Length = n

Surface area	68343750
Volume	38443359375
Space diagonal	5845.671475545

Equilateral Triangle

Length = n

Perimeter	10125
Area	4932285.3074911
Altitude	2922.8357377725

Triangular Pyramid

Length = n

Surface area	4932285.3074911
Volume	4530593350.9423
Height	1590.9902576697