λ
Prime Ledger

3,011,384

23 × 47 × 8009
Deficient Even Composite

3,011,384 has the prime decomposition 2^3 × 47 × 8009. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 47 × 8009
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,767,200
Proper Divisor Sum 2,755,816
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #3011383 ← → #3011399

Radix Representation

Decimal 3011384
Binary 1011011111001100111000 (22 bits)
Octal 0o13371470
Hexadecimal 0x2DF338

Divisor Catalog (16)

1 2 4 8 47 94 188 376 8,009 16,018 32,036 64,072 376,423 752,846 1,505,692 3,011,384

Collatz Trajectory (120 steps to reach 1)

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

3,011,384 1,505,692 752,846 376,423 1,129,270 564,635 1,693,906 846,953 2,540,860 1,270,430 635,215 1,905,646 952,823 2,858,470 1,429,235 4,287,706 2,143,853 6,431,560 3,215,780 1,607,890 803,945 2,411,836 1,205,918 602,959 1,808,878 904,439 2,713,318 1,356,659 4,069,978 2,034,989 6,104,968 3,052,484 1,526,242 763,121 2,289,364 1,144,682 572,341 1,717,024 858,512 429,256 214,628 107,314 53,657 160,972 80,486 40,243 120,730 60,365 181,096 90,548 45,274 22,637 67,912 33,956 16,978 8,489 25,468 12,734 6,367 19,102

More profiles

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