2,204,781

3 × 17² × 2543

Starting at 2,204,781, the Collatz iteration reaches 1 after 166 steps. The first transition is 6614344; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 17^2 × 2543

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,124,032

Proper Divisor Sum 919,251

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #2204773 ← → #2204789

Radix Representation

Decimal	2204781
Binary	1000011010010001101101 (22 bits)
Octal	0o10322155
Hexadecimal	0x21A46D

Divisor Catalog (12)

1 3 17 51 289 867 2,543 7,629 43,231 129,693 734,927 2,204,781

Collatz Trajectory (166 steps to reach 1)

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

2,204,781 6,614,344 3,307,172 1,653,586 826,793 2,480,380 1,240,190 620,095 1,860,286 930,143 2,790,430 1,395,215 4,185,646 2,092,823 6,278,470 3,139,235 9,417,706 4,708,853 14,126,560 7,063,280 3,531,640 1,765,820 882,910 441,455 1,324,366 662,183 1,986,550 993,275 2,979,826 1,489,913 4,469,740 2,234,870 1,117,435 3,352,306 1,676,153 5,028,460 2,514,230 1,257,115 3,771,346 1,885,673 5,657,020 2,828,510 1,414,255 4,242,766 2,121,383 6,364,150 3,182,075 9,546,226 4,773,113 14,319,340 7,159,670 3,579,835 10,739,506 5,369,753 16,109,260 8,054,630 4,027,315 12,081,946 6,040,973 18,122,920

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