2,046,191

7² × 41759

2,046,191 has digital root 5. The neighboring primes are 2046169 and 2046193; its proper-divisor sum differs from the starting integer by -1,712,062.

Prime Factor Structure

Factorization String 7^2 × 41759

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 2,380,320

Proper Divisor Sum 334,129

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #2046169 ← → #2046193

Radix Representation

Decimal	2046191
Binary	111110011100011101111 (21 bits)
Octal	0o7634357
Hexadecimal	0x1F38EF

Divisor Catalog (6)

1 7 49 41,759 292,313 2,046,191

Collatz Trajectory (166 steps to reach 1)

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

2,046,191 6,138,574 3,069,287 9,207,862 4,603,931 13,811,794 6,905,897 20,717,692 10,358,846 5,179,423 15,538,270 7,769,135 23,307,406 11,653,703 34,961,110 17,480,555 52,441,666 26,220,833 78,662,500 39,331,250 19,665,625 58,996,876 29,498,438 14,749,219 44,247,658 22,123,829 66,371,488 33,185,744 16,592,872 8,296,436 4,148,218 2,074,109 6,222,328 3,111,164 1,555,582 777,791 2,333,374 1,166,687 3,500,062 1,750,031 5,250,094 2,625,047 7,875,142 3,937,571 11,812,714 5,906,357 17,719,072 8,859,536 4,429,768 2,214,884 1,107,442 553,721 1,661,164 830,582 415,291 1,245,874 622,937 1,868,812 934,406 467,203

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