2,649,720

2³ × 3 × 5 × 71 × 311

Starting at 2,649,720, the Collatz iteration reaches 1 after 143 steps. The first transition is 1324860; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 71 × 311

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 8,087,040

Proper Divisor Sum 5,437,320

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #2649709 ← → #2649727

Radix Representation

Decimal	2649720
Binary	1010000110111001111000 (22 bits)
Octal	0o12067170
Hexadecimal	0x286E78

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 311 355 426 568 622 710 852 933 1,065 1,244 1,420 1,555 1,704 1,866 2,130 2,488 2,840 3,110 3,732 4,260 4,665 6,220 7,464 8,520 9,330 12,440 18,660 22,081 37,320 44,162 66,243 88,324 110,405 132,486 176,648 220,810 264,972 331,215 441,620 529,944

Collatz Trajectory (143 steps to reach 1)

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

2,649,720 1,324,860 662,430 331,215 993,646 496,823 1,490,470 745,235 2,235,706 1,117,853 3,353,560 1,676,780 838,390 419,195 1,257,586 628,793 1,886,380 943,190 471,595 1,414,786 707,393 2,122,180 1,061,090 530,545 1,591,636 795,818 397,909 1,193,728 596,864 298,432 149,216 74,608 37,304 18,652 9,326 4,663 13,990 6,995 20,986 10,493 31,480 15,740 7,870 3,935 11,806 5,903 17,710 8,855 26,566 13,283 39,850 19,925 59,776 29,888 14,944 7,472 3,736 1,868 934 467

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