4,020,126

2 × 3 × 11 × 17 × 3583

Starting at 4,020,126, the Collatz iteration reaches 1 after 66 steps. The first transition is 2010063; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 17 × 3583

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 9,289,728

Proper Divisor Sum 5,269,602

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #4020119 ← → #4020139

Radix Representation

Decimal	4020126
Binary	1111010101011110011110 (22 bits)
Octal	0o17253636
Hexadecimal	0x3D579E

Divisor Catalog (32)

1 2 3 6 11 17 22 33 34 51 66 102 187 374 561 1,122 3,583 7,166 10,749 21,498 39,413 60,911 78,826 118,239 121,822 182,733 236,478 365,466 670,021 1,340,042 2,010,063 4,020,126

Collatz Trajectory (66 steps to reach 1)

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

4,020,126 2,010,063 6,030,190 3,015,095 9,045,286 4,522,643 13,567,930 6,783,965 20,351,896 10,175,948 5,087,974 2,543,987 7,631,962 3,815,981 11,447,944 5,723,972 2,861,986 1,430,993 4,292,980 2,146,490 1,073,245 3,219,736 1,609,868 804,934 402,467 1,207,402 603,701 1,811,104 905,552 452,776 226,388 113,194 56,597 169,792 84,896 42,448 21,224 10,612 5,306 2,653 7,960 3,980 1,990 995 2,986 1,493 4,480 2,240 1,120 560 280 140 70 35 106 53 160 80 40 20

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