λ
Prime Ledger

3,073,384

23 × 384173
Deficient Even Composite

3,073,384 has the prime decomposition 2^3 × 384173. Its 2 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 384173
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,762,610
Proper Divisor Sum 2,689,226
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3073351 ← → #3073393

Radix Representation

Decimal 3073384
Binary 1011101110010101101000 (22 bits)
Octal 0o13562550
Hexadecimal 0x2EE568

Divisor Catalog (8)

1 2 4 8 384,173 768,346 1,536,692 3,073,384

Collatz Trajectory (89 steps to reach 1)

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

3,073,384 1,536,692 768,346 384,173 1,152,520 576,260 288,130 144,065 432,196 216,098 108,049 324,148 162,074 81,037 243,112 121,556 60,778 30,389 91,168 45,584 22,792 11,396 5,698 2,849 8,548 4,274 2,137 6,412 3,206 1,603 4,810 2,405 7,216 3,608 1,804 902 451 1,354 677 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280

More profiles

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