3,978,072

2³ × 3⁴ × 7 × 877

Starting at 3,978,072, the Collatz iteration reaches 1 after 66 steps. The first transition is 1989036; the starting value is even with 80 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^4 × 7 × 877

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 12,748,560

Proper Divisor Sum 8,770,488

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3978071 ← → #3978101

Radix Representation

Decimal	3978072
Binary	1111001011001101011000 (22 bits)
Octal	0o17131530
Hexadecimal	0x3CB358

Divisor Catalog (60 of 80)

1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 877 1,134 1,512 1,754 2,268 2,631 3,508 4,536 5,262 6,139 7,016 7,893 10,524 12,278 15,786 18,417 21,048 23,679 24,556 31,572 36,834 47,358 49,112 55,251

Collatz Trajectory (66 steps to reach 1)

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

3,978,072 1,989,036 994,518 497,259 1,491,778 745,889 2,237,668 1,118,834 559,417 1,678,252 839,126 419,563 1,258,690 629,345 1,888,036 944,018 472,009 1,416,028 708,014 354,007 1,062,022 531,011 1,593,034 796,517 2,389,552 1,194,776 597,388 298,694 149,347 448,042 224,021 672,064 336,032 168,016 84,008 42,004 21,002 10,501 31,504 15,752 7,876 3,938 1,969 5,908 2,954 1,477 4,432 2,216 1,108 554 277 832 416 208 104 52 26 13 40 20

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