7,195,944

2³ × 3 × 7² × 29 × 211

Starting at 7,195,944, the Collatz iteration reaches 1 after 90 steps. The first transition is 3597972; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 7^2 × 29 × 211

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 21,751,200

Proper Divisor Sum 14,555,256

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7195939 ← → #7195949

Radix Representation

Decimal	7195944
Binary	11011011100110100101000 (23 bits)
Octal	0o33346450
Hexadecimal	0x6DCD28

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 12 14 21 24 28 29 42 49 56 58 84 87 98 116 147 168 174 196 203 211 232 294 348 392 406 422 588 609 633 696 812 844 1,176 1,218 1,266 1,421 1,477 1,624 1,688 2,436 2,532 2,842 2,954 4,263 4,431 4,872 5,064 5,684 5,908 6,119 8,526 8,862 10,339

Collatz Trajectory (90 steps to reach 1)

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

7,195,944 3,597,972 1,798,986 899,493 2,698,480 1,349,240 674,620 337,310 168,655 505,966 252,983 758,950 379,475 1,138,426 569,213 1,707,640 853,820 426,910 213,455 640,366 320,183 960,550 480,275 1,440,826 720,413 2,161,240 1,080,620 540,310 270,155 810,466 405,233 1,215,700 607,850 303,925 911,776 455,888 227,944 113,972 56,986 28,493 85,480 42,740 21,370 10,685 32,056 16,028 8,014 4,007 12,022 6,011 18,034 9,017 27,052 13,526 6,763 20,290 10,145 30,436 15,218 7,609

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