1,109,091

3 × 41 × 71 × 127

1,109,091 factors as 3 × 41 × 71 × 127. Its 16 positive divisors give a proper-divisor sum of 439,197, so this integer is deficient. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 3 × 41 × 71 × 127

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,548,288

Proper Divisor Sum 439,197

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #1109057 ← → #1109113

Radix Representation

Decimal	1109091
Binary	100001110110001100011 (21 bits)
Octal	0o4166143
Hexadecimal	0x10EC63

Divisor Catalog (16)

1 3 41 71 123 127 213 381 2,911 5,207 8,733 9,017 15,621 27,051 369,697 1,109,091

Collatz Trajectory (165 steps to reach 1)

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

1,109,091 3,327,274 1,663,637 4,990,912 2,495,456 1,247,728 623,864 311,932 155,966 77,983 233,950 116,975 350,926 175,463 526,390 263,195 789,586 394,793 1,184,380 592,190 296,095 888,286 444,143 1,332,430 666,215 1,998,646 999,323 2,997,970 1,498,985 4,496,956 2,248,478 1,124,239 3,372,718 1,686,359 5,059,078 2,529,539 7,588,618 3,794,309 11,382,928 5,691,464 2,845,732 1,422,866 711,433 2,134,300 1,067,150 533,575 1,600,726 800,363 2,401,090 1,200,545 3,601,636 1,800,818 900,409 2,701,228 1,350,614 675,307 2,025,922 1,012,961 3,038,884 1,519,442

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