λ
Prime Ledger

3,073,797

32 × 29 × 11777
Deficient Odd Composite

3,073,797 has the prime decomposition 3^2 × 29 × 11777. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 29 × 11777
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,593,420
Proper Divisor Sum 1,519,623
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3073783 ← → #3073799

Radix Representation

Decimal 3073797
Binary 1011101110011100000101 (22 bits)
Octal 0o13563405
Hexadecimal 0x2EE705

Divisor Catalog (12)

1 3 9 29 87 261 11,777 35,331 105,993 341,533 1,024,599 3,073,797

Collatz Trajectory (151 steps to reach 1)

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

3,073,797 9,221,392 4,610,696 2,305,348 1,152,674 576,337 1,729,012 864,506 432,253 1,296,760 648,380 324,190 162,095 486,286 243,143 729,430 364,715 1,094,146 547,073 1,641,220 820,610 410,305 1,230,916 615,458 307,729 923,188 461,594 230,797 692,392 346,196 173,098 86,549 259,648 129,824 64,912 32,456 16,228 8,114 4,057 12,172 6,086 3,043 9,130 4,565 13,696 6,848 3,424 1,712 856 428 214 107 322 161 484 242 121 364 182 91

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