3,928,329

3² × 436481

3,928,329 factors as 3^2 × 436481. Its 6 positive divisors give a proper-divisor sum of 1,745,937, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 3^2 × 436481

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 5,674,266

Proper Divisor Sum 1,745,937

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3928319 ← → #3928361

Radix Representation

Decimal	3928329
Binary	1110111111000100001001 (22 bits)
Octal	0o16770411
Hexadecimal	0x3BF109

Divisor Catalog (6)

1 3 9 436,481 1,309,443 3,928,329

Collatz Trajectory (123 steps to reach 1)

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

3,928,329 11,784,988 5,892,494 2,946,247 8,838,742 4,419,371 13,258,114 6,629,057 19,887,172 9,943,586 4,971,793 14,915,380 7,457,690 3,728,845 11,186,536 5,593,268 2,796,634 1,398,317 4,194,952 2,097,476 1,048,738 524,369 1,573,108 786,554 393,277 1,179,832 589,916 294,958 147,479 442,438 221,219 663,658 331,829 995,488 497,744 248,872 124,436 62,218 31,109 93,328 46,664 23,332 11,666 5,833 17,500 8,750 4,375 13,126 6,563 19,690 9,845 29,536 14,768 7,384 3,692 1,846 923 2,770 1,385 4,156

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