
2spiral 
On a
2spiral the main axis is formed by successive
powers of the number 2. All odd numbers are located at the beginning of the numerical
Nrays, all even numbers are located on the
Nrays of the spiral.
On the
2.0turn there is one single arc of size
360°, at the beginning of this turn there is the number
1. This is the only number spiral that has no other numbers other than one on the zero turn. The number of numbers and unit arcs is determined by formula (2).
The
2.1turn is divided into two single arcs of size
180° and there are two numbers on it 
2 and
3. Here and on the remaining turns, the number of numbers and unit arcs is determined by formula (1).

Calculations for 2spiral 
The
2.2turn form four single arcs measuring
90°, on which the numbers
4, 5, 6, 7 are located. The number
6 is located on the continuation of the
3ray.
The
2.3turn form
8 single arcs measuring
45°. This turn contains numbers from
8 to
15 inclusive. The numbers
10, 12 and
14 are located on the continuation of the
5ray, 3ray and
7ray respectively.
The further arrangement of natural numbers on the
2spiral can be traced in the figure above.
3spiral

3spiral 
The main axis of the
3spiral is formed by successive powers of the number
3. On the
3.0turn there are two single arcs of size
180° and there are two numbers on it  these are
1 and
2 . The number of unit arcs and numbers is determined by formula (2).
The
3.1turn is divided into six single arcs measuring
60°, on which the numbers
3, 4, 5, 6, 7 and
8 are located. The number of unit arcs and numbers is determined by formula (1). The number
6 is located on the continuation of the
2ray and is the result of multiplying the number
2 by the number
3.

Calculations for 3spiral 
The
3.2turn is formed by eighteen single arcs of size
20°, on which the numbers
9 to
26 are located.
4spiral

4spiral 
The main axis of the
4spiral is formed by successive powers of the number
4. On the
4.0turn there are three single arcs of size
120° and on it there are three numbers 
1, 2 and
3.
The
4.1turn is divided into twelve single arcs measuring
30°.

Calculations for 4spiral 
The
4.2turn is divided into fortyeight unit arcs measuring
7.5°.
Each turn of the
4helix contains two compressed turns of the
2helix. Compression occurs unevenly and is determined by the structure of the zero turn of the
4helix. Zero and even turns of the
2helix are compressed to
1/3 turns of the
4helix, the first and odd turns  to
2/3 . This uneven compression ensures that the single angular segments of all turns in the
4helix structure are equal.
Similar uneven compression occurs on the remaining spirals, built on numbers equal to the power of the number
a, greater than the first power. Thus, for an
8helix (a=2^{3}), each turn of which contains three turns of a
2helix, the proportions are equal:
1/7, 2/7, 4/7.
5spiral

5spiral 
The main axis of the
5helix is formed by successive powers of the number
5. On the
5.0turn there are four single arcs of size
90° and on it there are four numbers 
1, 2, 3 and
4.
The
5.1turn is divided into twenty single arcs measuring
18°.

Calculations for 5spiral 
The
5.2turn is divided into one hundred unit arcs of size
3.6°.
In a similar way, you can build a number spiral for any natural number.
Continued: Analysis of number spirals.