6,878,169

3³ × 254747

Starting at 6,878,169, the Collatz iteration reaches 1 after 222 steps. The first transition is 20634508; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 254747

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,189,920

Proper Divisor Sum 3,311,751

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #6878167 ← → #6878203

Radix Representation

Decimal	6878169
Binary	11010001111001111011001 (23 bits)
Octal	0o32171731
Hexadecimal	0x68F3D9

Divisor Catalog (8)

1 3 9 27 254,747 764,241 2,292,723 6,878,169

Collatz Trajectory (222 steps to reach 1)

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

6,878,169 20,634,508 10,317,254 5,158,627 15,475,882 7,737,941 23,213,824 11,606,912 5,803,456 2,901,728 1,450,864 725,432 362,716 181,358 90,679 272,038 136,019 408,058 204,029 612,088 306,044 153,022 76,511 229,534 114,767 344,302 172,151 516,454 258,227 774,682 387,341 1,162,024 581,012 290,506 145,253 435,760 217,880 108,940 54,470 27,235 81,706 40,853 122,560 61,280 30,640 15,320 7,660 3,830 1,915 5,746 2,873 8,620 4,310 2,155 6,466 3,233 9,700 4,850 2,425 7,276

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