λ
Prime Ledger

3,993,284

22 × 647 × 1543
Deficient Even Composite

3,993,284 has the prime decomposition 2^2 × 647 × 1543. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 647 × 1543
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,003,584
Proper Divisor Sum 3,010,300
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #3993263 ← → #3993313

Radix Representation

Decimal 3993284
Binary 1111001110111011000100 (22 bits)
Octal 0o17167304
Hexadecimal 0x3CEEC4

Divisor Catalog (12)

1 2 4 647 1,294 1,543 2,588 3,086 6,172 998,321 1,996,642 3,993,284

Collatz Trajectory (216 steps to reach 1)

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

3,993,284 1,996,642 998,321 2,994,964 1,497,482 748,741 2,246,224 1,123,112 561,556 280,778 140,389 421,168 210,584 105,292 52,646 26,323 78,970 39,485 118,456 59,228 29,614 14,807 44,422 22,211 66,634 33,317 99,952 49,976 24,988 12,494 6,247 18,742 9,371 28,114 14,057 42,172 21,086 10,543 31,630 15,815 47,446 23,723 71,170 35,585 106,756 53,378 26,689 80,068 40,034 20,017 60,052 30,026 15,013 45,040 22,520 11,260 5,630 2,815 8,446 4,223

More profiles

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