6,838,582

2 × 89 × 103 × 373

Starting at 6,838,582, the Collatz iteration reaches 1 after 178 steps. The first transition is 3419291; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 89 × 103 × 373

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,501,920

Proper Divisor Sum 3,663,338

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #6838571 ← → #6838583

Radix Representation

Decimal	6838582
Binary	11010000101100100110110 (23 bits)
Octal	0o32054466
Hexadecimal	0x685936

Divisor Catalog (16)

1 2 89 103 178 206 373 746 9,167 18,334 33,197 38,419 66,394 76,838 3,419,291 6,838,582

Collatz Trajectory (178 steps to reach 1)

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

6,838,582 3,419,291 10,257,874 5,128,937 15,386,812 7,693,406 3,846,703 11,540,110 5,770,055 17,310,166 8,655,083 25,965,250 12,982,625 38,947,876 19,473,938 9,736,969 29,210,908 14,605,454 7,302,727 21,908,182 10,954,091 32,862,274 16,431,137 49,293,412 24,646,706 12,323,353 36,970,060 18,485,030 9,242,515 27,727,546 13,863,773 41,591,320 20,795,660 10,397,830 5,198,915 15,596,746 7,798,373 23,395,120 11,697,560 5,848,780 2,924,390 1,462,195 4,386,586 2,193,293 6,579,880 3,289,940 1,644,970 822,485 2,467,456 1,233,728 616,864 308,432 154,216 77,108 38,554 19,277 57,832 28,916 14,458 7,229

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