1,955,952

2⁴ × 3² × 17² × 47

Starting at 1,955,952, the Collatz iteration reaches 1 after 39 steps. The first transition is 977976; the starting value is even with 90 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 17^2 × 47

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 90

Divisor Sum (σ) 5,938,608

Proper Divisor Sum 3,982,656

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #1955939 ← → #1955957

Radix Representation

Decimal	1955952
Binary	111011101100001110000 (21 bits)
Octal	0o7354160
Hexadecimal	0x1DD870

Divisor Catalog (60 of 90)

1 2 3 4 6 8 9 12 16 17 18 24 34 36 47 48 51 68 72 94 102 136 141 144 153 188 204 272 282 289 306 376 408 423 564 578 612 752 799 816 846 867 1,128 1,156 1,224 1,598 1,692 1,734 2,256 2,312 2,397 2,448 2,601 3,196 3,384 3,468 4,624 4,794 5,202 6,392

Collatz Trajectory (39 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

1,955,952 977,976 488,988 244,494 122,247 366,742 183,371 550,114 275,057 825,172 412,586 206,293 618,880 309,440 154,720 77,360 38,680 19,340 9,670 4,835 14,506 7,253 21,760 10,880 5,440 2,720 1,360 680 340 170 85 256 128 64 32 16 8 4 2 1

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