6,853,228

2² × 61 × 28087

Starting at 6,853,228, the Collatz iteration reaches 1 after 59 steps. The first transition is 3426614; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 61 × 28087

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,190,192

Proper Divisor Sum 5,336,964

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #6853219 ← → #6853247

Radix Representation

Decimal	6853228
Binary	11010001001001001101100 (23 bits)
Octal	0o32111154
Hexadecimal	0x68926C

Divisor Catalog (12)

1 2 4 61 122 244 28,087 56,174 112,348 1,713,307 3,426,614 6,853,228

Collatz Trajectory (59 steps to reach 1)

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

6,853,228 3,426,614 1,713,307 5,139,922 2,569,961 7,709,884 3,854,942 1,927,471 5,782,414 2,891,207 8,673,622 4,336,811 13,010,434 6,505,217 19,515,652 9,757,826 4,878,913 14,636,740 7,318,370 3,659,185 10,977,556 5,488,778 2,744,389 8,233,168 4,116,584 2,058,292 1,029,146 514,573 1,543,720 771,860 385,930 192,965 578,896 289,448 144,724 72,362 36,181 108,544 54,272 27,136 13,568 6,784 3,392 1,696 848 424 212 106 53 160 80 40 20 10 5 16 8 4 2 1

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