6,823,256

2³ × 11 × 17 × 4561

Starting at 6,823,256, the Collatz iteration reaches 1 after 222 steps. The first transition is 3411628; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 11 × 17 × 4561

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 14,780,880

Proper Divisor Sum 7,957,624

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #6823253 ← → #6823259

Radix Representation

Decimal	6823256
Binary	11010000001110101011000 (23 bits)
Octal	0o32016530
Hexadecimal	0x681D58

Divisor Catalog (32)

1 2 4 8 11 17 22 34 44 68 88 136 187 374 748 1,496 4,561 9,122 18,244 36,488 50,171 77,537 100,342 155,074 200,684 310,148 401,368 620,296 852,907 1,705,814 3,411,628 6,823,256

Collatz Trajectory (222 steps to reach 1)

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

6,823,256 3,411,628 1,705,814 852,907 2,558,722 1,279,361 3,838,084 1,919,042 959,521 2,878,564 1,439,282 719,641 2,158,924 1,079,462 539,731 1,619,194 809,597 2,428,792 1,214,396 607,198 303,599 910,798 455,399 1,366,198 683,099 2,049,298 1,024,649 3,073,948 1,536,974 768,487 2,305,462 1,152,731 3,458,194 1,729,097 5,187,292 2,593,646 1,296,823 3,890,470 1,945,235 5,835,706 2,917,853 8,753,560 4,376,780 2,188,390 1,094,195 3,282,586 1,641,293 4,923,880 2,461,940 1,230,970 615,485 1,846,456 923,228 461,614 230,807 692,422 346,211 1,038,634 519,317 1,557,952

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