λ
Prime Ledger

3,386,444

22 × 47 × 18013
Deficient Even Composite

3,386,444 has the prime decomposition 2^2 × 47 × 18013. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 47 × 18013
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,052,704
Proper Divisor Sum 2,666,260
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3386431 ← → #3386473

Radix Representation

Decimal 3386444
Binary 1100111010110001001100 (22 bits)
Octal 0o14726114
Hexadecimal 0x33AC4C

Divisor Catalog (12)

1 2 4 47 94 188 18,013 36,026 72,052 846,611 1,693,222 3,386,444

Collatz Trajectory (128 steps to reach 1)

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

3,386,444 1,693,222 846,611 2,539,834 1,269,917 3,809,752 1,904,876 952,438 476,219 1,428,658 714,329 2,142,988 1,071,494 535,747 1,607,242 803,621 2,410,864 1,205,432 602,716 301,358 150,679 452,038 226,019 678,058 339,029 1,017,088 508,544 254,272 127,136 63,568 31,784 15,892 7,946 3,973 11,920 5,960 2,980 1,490 745 2,236 1,118 559 1,678 839 2,518 1,259 3,778 1,889 5,668 2,834 1,417 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590

More profiles

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