3,813,921

3² × 423769

Starting at 3,813,921, the Collatz iteration reaches 1 after 172 steps. The first transition is 11441764; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 423769

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 5,509,010

Proper Divisor Sum 1,695,089

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3813913 ← → #3813941

Radix Representation

Decimal	3813921
Binary	1110100011001000100001 (22 bits)
Octal	0o16431041
Hexadecimal	0x3A3221

Divisor Catalog (6)

1 3 9 423,769 1,271,307 3,813,921

Collatz Trajectory (172 steps to reach 1)

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

3,813,921 11,441,764 5,720,882 2,860,441 8,581,324 4,290,662 2,145,331 6,435,994 3,217,997 9,653,992 4,826,996 2,413,498 1,206,749 3,620,248 1,810,124 905,062 452,531 1,357,594 678,797 2,036,392 1,018,196 509,098 254,549 763,648 381,824 190,912 95,456 47,728 23,864 11,932 5,966 2,983 8,950 4,475 13,426 6,713 20,140 10,070 5,035 15,106 7,553 22,660 11,330 5,665 16,996 8,498 4,249 12,748 6,374 3,187 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345 4,036

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