2,039,916

2² × 3 × 19 × 23 × 389

Starting at 2,039,916, the Collatz iteration reaches 1 after 109 steps. The first transition is 1019958; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 19 × 23 × 389

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 5,241,600

Proper Divisor Sum 3,201,684

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #2039911 ← → #2039927

Radix Representation

Decimal	2039916
Binary	111110010000001101100 (21 bits)
Octal	0o7620154
Hexadecimal	0x1F206C

Divisor Catalog (48)

1 2 3 4 6 12 19 23 38 46 57 69 76 92 114 138 228 276 389 437 778 874 1,167 1,311 1,556 1,748 2,334 2,622 4,668 5,244 7,391 8,947 14,782 17,894 22,173 26,841 29,564 35,788 44,346 53,682 88,692 107,364 169,993 339,986 509,979 679,972 1,019,958 2,039,916

Collatz Trajectory (109 steps to reach 1)

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

2,039,916 1,019,958 509,979 1,529,938 764,969 2,294,908 1,147,454 573,727 1,721,182 860,591 2,581,774 1,290,887 3,872,662 1,936,331 5,808,994 2,904,497 8,713,492 4,356,746 2,178,373 6,535,120 3,267,560 1,633,780 816,890 408,445 1,225,336 612,668 306,334 153,167 459,502 229,751 689,254 344,627 1,033,882 516,941 1,550,824 775,412 387,706 193,853 581,560 290,780 145,390 72,695 218,086 109,043 327,130 163,565 490,696 245,348 122,674 61,337 184,012 92,006 46,003 138,010 69,005 207,016 103,508 51,754 25,877 77,632

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