λ
Harmonic Matrix

6,942,305

5 × 1388461
Deficient Odd Composite

6,942,305 has digital root 2. The neighboring primes are 6942301 and 6942329; its proper-divisor sum differs from the starting integer by -5,553,838.

Prime Factor Structure

Factorization String 5 × 1388461
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,330,772
Proper Divisor Sum 1,388,467
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #6942301 ← → #6942329

Radix Representation

Decimal 6942305
Binary 11010011110111001100001 (23 bits)
Octal 0o32367141
Hexadecimal 0x69EE61

Divisor Catalog (4)

1 5 1,388,461 6,942,305

Collatz Trajectory (134 steps to reach 1)

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

6,942,305 20,826,916 10,413,458 5,206,729 15,620,188 7,810,094 3,905,047 11,715,142 5,857,571 17,572,714 8,786,357 26,359,072 13,179,536 6,589,768 3,294,884 1,647,442 823,721 2,471,164 1,235,582 617,791 1,853,374 926,687 2,780,062 1,390,031 4,170,094 2,085,047 6,255,142 3,127,571 9,382,714 4,691,357 14,074,072 7,037,036 3,518,518 1,759,259 5,277,778 2,638,889 7,916,668 3,958,334 1,979,167 5,937,502 2,968,751 8,906,254 4,453,127 13,359,382 6,679,691 20,039,074 10,019,537 30,058,612 15,029,306 7,514,653 22,543,960 11,271,980 5,635,990 2,817,995 8,453,986 4,226,993 12,680,980 6,340,490 3,170,245 9,510,736

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