2,806,165

5 × 677 × 829

Starting at 2,806,165, the Collatz iteration reaches 1 after 231 steps. The first transition is 8418496; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 677 × 829

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,376,440

Proper Divisor Sum 570,275

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #2806157 ← → #2806169

Radix Representation

Decimal	2806165
Binary	1010101101000110010101 (22 bits)
Octal	0o12550625
Hexadecimal	0x2AD195

Divisor Catalog (8)

1 5 677 829 3,385 4,145 561,233 2,806,165

Collatz Trajectory (231 steps to reach 1)

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

2,806,165 8,418,496 4,209,248 2,104,624 1,052,312 526,156 263,078 131,539 394,618 197,309 591,928 295,964 147,982 73,991 221,974 110,987 332,962 166,481 499,444 249,722 124,861 374,584 187,292 93,646 46,823 140,470 70,235 210,706 105,353 316,060 158,030 79,015 237,046 118,523 355,570 177,785 533,356 266,678 133,339 400,018 200,009 600,028 300,014 150,007 450,022 225,011 675,034 337,517 1,012,552 506,276 253,138 126,569 379,708 189,854 94,927 284,782 142,391 427,174 213,587 640,762

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