3,928,086

2 × 3² × 218227

3,928,086 factors as 2 × 3^2 × 218227. Its 12 positive divisors give a proper-divisor sum of 4,582,806, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 218227

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,510,892

Proper Divisor Sum 4,582,806

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3928069 ← → #3928091

Radix Representation

Decimal	3928086
Binary	1110111111000000010110 (22 bits)
Octal	0o16770026
Hexadecimal	0x3BF016

Divisor Catalog (12)

1 2 3 6 9 18 218,227 436,454 654,681 1,309,362 1,964,043 3,928,086

Collatz Trajectory (123 steps to reach 1)

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

3,928,086 1,964,043 5,892,130 2,946,065 8,838,196 4,419,098 2,209,549 6,628,648 3,314,324 1,657,162 828,581 2,485,744 1,242,872 621,436 310,718 155,359 466,078 233,039 699,118 349,559 1,048,678 524,339 1,573,018 786,509 2,359,528 1,179,764 589,882 294,941 884,824 442,412 221,206 110,603 331,810 165,905 497,716 248,858 124,429 373,288 186,644 93,322 46,661 139,984 69,992 34,996 17,498 8,749 26,248 13,124 6,562 3,281 9,844 4,922 2,461 7,384 3,692 1,846 923 2,770 1,385 4,156

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