λ
Harmonic Matrix

3,884,755

5 × 7 × 17 × 6529
Deficient Odd Composite

3,884,755 has digital root 4. The neighboring primes are 3884747 and 3884767; its proper-divisor sum differs from the starting integer by -2,127,590.

Prime Factor Structure

Factorization String 5 × 7 × 17 × 6529
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,641,920
Proper Divisor Sum 1,757,165
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #3884747 ← → #3884767

Radix Representation

Decimal 3884755
Binary 1110110100011011010011 (22 bits)
Octal 0o16643323
Hexadecimal 0x3B46D3

Divisor Catalog (16)

1 5 7 17 35 85 119 595 6,529 32,645 45,703 110,993 228,515 554,965 776,951 3,884,755

Collatz Trajectory (185 steps to reach 1)

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

3,884,755 11,654,266 5,827,133 17,481,400 8,740,700 4,370,350 2,185,175 6,555,526 3,277,763 9,833,290 4,916,645 14,749,936 7,374,968 3,687,484 1,843,742 921,871 2,765,614 1,382,807 4,148,422 2,074,211 6,222,634 3,111,317 9,333,952 4,666,976 2,333,488 1,166,744 583,372 291,686 145,843 437,530 218,765 656,296 328,148 164,074 82,037 246,112 123,056 61,528 30,764 15,382 7,691 23,074 11,537 34,612 17,306 8,653 25,960 12,980 6,490 3,245 9,736 4,868 2,434 1,217 3,652 1,826 913 2,740 1,370 685

More profiles

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