1,980,891

3² × 11² × 17 × 107

Starting at 1,980,891, the Collatz iteration reaches 1 after 197 steps. The first transition is 5942674; the starting value is odd with 36 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 11^2 × 17 × 107

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 3,361,176

Proper Divisor Sum 1,380,285

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #1980877 ← → #1980899

Radix Representation

Decimal	1980891
Binary	111100011100111011011 (21 bits)
Octal	0o7434733
Hexadecimal	0x1E39DB

Divisor Catalog (36)

1 3 9 11 17 33 51 99 107 121 153 187 321 363 561 963 1,089 1,177 1,683 1,819 2,057 3,531 5,457 6,171 10,593 12,947 16,371 18,513 20,009 38,841 60,027 116,523 180,081 220,099 660,297 1,980,891

Collatz Trajectory (197 steps to reach 1)

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

1,980,891 5,942,674 2,971,337 8,914,012 4,457,006 2,228,503 6,685,510 3,342,755 10,028,266 5,014,133 15,042,400 7,521,200 3,760,600 1,880,300 940,150 470,075 1,410,226 705,113 2,115,340 1,057,670 528,835 1,586,506 793,253 2,379,760 1,189,880 594,940 297,470 148,735 446,206 223,103 669,310 334,655 1,003,966 501,983 1,505,950 752,975 2,258,926 1,129,463 3,388,390 1,694,195 5,082,586 2,541,293 7,623,880 3,811,940 1,905,970 952,985 2,858,956 1,429,478 714,739 2,144,218 1,072,109 3,216,328 1,608,164 804,082 402,041 1,206,124 603,062 301,531 904,594 452,297

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