6,844,321

11 × 503 × 1237

Starting at 6,844,321, the Collatz iteration reaches 1 after 222 steps. The first transition is 20532964; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 11 × 503 × 1237

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,487,424

Proper Divisor Sum 643,103

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #6844309 ← → #6844339

Radix Representation

Decimal	6844321
Binary	11010000110111110100001 (23 bits)
Octal	0o32067641
Hexadecimal	0x686FA1

Divisor Catalog (8)

1 11 503 1,237 5,533 13,607 622,211 6,844,321

Collatz Trajectory (222 steps to reach 1)

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

6,844,321 20,532,964 10,266,482 5,133,241 15,399,724 7,699,862 3,849,931 11,549,794 5,774,897 17,324,692 8,662,346 4,331,173 12,993,520 6,496,760 3,248,380 1,624,190 812,095 2,436,286 1,218,143 3,654,430 1,827,215 5,481,646 2,740,823 8,222,470 4,111,235 12,333,706 6,166,853 18,500,560 9,250,280 4,625,140 2,312,570 1,156,285 3,468,856 1,734,428 867,214 433,607 1,300,822 650,411 1,951,234 975,617 2,926,852 1,463,426 731,713 2,195,140 1,097,570 548,785 1,646,356 823,178 411,589 1,234,768 617,384 308,692 154,346 77,173 231,520 115,760 57,880 28,940 14,470 7,235

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