2,006,626

2 × 29² × 1193

For 2,006,626, the 12 positive divisors have a total of 3,119,922. Removing 2,006,626 leaves 1,113,296, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 29^2 × 1193

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,119,922

Proper Divisor Sum 1,113,296

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #2006623 ← → #2006651

Radix Representation

Decimal	2006626
Binary	111101001111001100010 (21 bits)
Octal	0o7517142
Hexadecimal	0x1E9E62

Divisor Catalog (12)

1 2 29 58 841 1,193 1,682 2,386 34,597 69,194 1,003,313 2,006,626

Collatz Trajectory (65 steps to reach 1)

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

2,006,626 1,003,313 3,009,940 1,504,970 752,485 2,257,456 1,128,728 564,364 282,182 141,091 423,274 211,637 634,912 317,456 158,728 79,364 39,682 19,841 59,524 29,762 14,881 44,644 22,322 11,161 33,484 16,742 8,371 25,114 12,557 37,672 18,836 9,418 4,709 14,128 7,064 3,532 1,766 883 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10

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