2,000,009

11² × 16529

2,000,009 factors as 11^2 × 16529. Its 6 positive divisors give a proper-divisor sum of 198,481, so this integer is deficient. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 11^2 × 16529

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 2,198,490

Proper Divisor Sum 198,481

Digit Sum / Digital Root 11 (Root: 2)

Adjacent Primes #2000003 ← → #2000029

Radix Representation

Decimal	2000009
Binary	111101000010010001001 (21 bits)
Octal	0o7502211
Hexadecimal	0x1E8489

Divisor Catalog (6)

1 11 121 16,529 181,819 2,000,009

Collatz Trajectory (114 steps to reach 1)

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

2,000,009 6,000,028 3,000,014 1,500,007 4,500,022 2,250,011 6,750,034 3,375,017 10,125,052 5,062,526 2,531,263 7,593,790 3,796,895 11,390,686 5,695,343 17,086,030 8,543,015 25,629,046 12,814,523 38,443,570 19,221,785 57,665,356 28,832,678 14,416,339 43,249,018 21,624,509 64,873,528 32,436,764 16,218,382 8,109,191 24,327,574 12,163,787 36,491,362 18,245,681 54,737,044 27,368,522 13,684,261 41,052,784 20,526,392 10,263,196 5,131,598 2,565,799 7,697,398 3,848,699 11,546,098 5,773,049 17,319,148 8,659,574 4,329,787 12,989,362 6,494,681 19,484,044 9,742,022 4,871,011 14,613,034 7,306,517 21,919,552 10,959,776 5,479,888 2,739,944

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