6,111,009

3² × 41 × 16561

For 6,111,009, the 12 positive divisors have a total of 9,042,852. Removing 6,111,009 leaves 2,931,843, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 41 × 16561

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,042,852

Proper Divisor Sum 2,931,843

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #6110983 ← → #6111011

Radix Representation

Decimal	6111009
Binary	10111010011111100100001 (23 bits)
Octal	0o27237441
Hexadecimal	0x5D3F21

Divisor Catalog (12)

1 3 9 41 123 369 16,561 49,683 149,049 679,001 2,037,003 6,111,009

Collatz Trajectory (165 steps to reach 1)

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

6,111,009 18,333,028 9,166,514 4,583,257 13,749,772 6,874,886 3,437,443 10,312,330 5,156,165 15,468,496 7,734,248 3,867,124 1,933,562 966,781 2,900,344 1,450,172 725,086 362,543 1,087,630 543,815 1,631,446 815,723 2,447,170 1,223,585 3,670,756 1,835,378 917,689 2,753,068 1,376,534 688,267 2,064,802 1,032,401 3,097,204 1,548,602 774,301 2,322,904 1,161,452 580,726 290,363 871,090 435,545 1,306,636 653,318 326,659 979,978 489,989 1,469,968 734,984 367,492 183,746 91,873 275,620 137,810 68,905 206,716 103,358 51,679 155,038 77,519 232,558

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