λ
Prime Ledger

1,100,682

2 × 33 × 11 × 17 × 109
Abundant Even Composite

1,100,682 has the prime decomposition 2 × 3^3 × 11 × 17 × 109. Its 5 distinct prime factors produce 64 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 11 × 17 × 109
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 2,851,200
Proper Divisor Sum 1,750,518
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1100681 ← → #1100683

Radix Representation

Decimal 1100682
Binary 100001100101110001010 (21 bits)
Octal 0o4145612
Hexadecimal 0x10CB8A

Divisor Catalog (60 of 64)

1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 99 102 109 153 187 198 218 297 306 327 374 459 561 594 654 918 981 1,122 1,199 1,683 1,853 1,962 2,398 2,943 3,366 3,597 3,706 5,049 5,559 5,886 7,194 10,098 10,791 11,118 16,677 20,383 21,582 32,373 33,354 40,766 50,031 61,149 64,746 100,062 122,298

Collatz Trajectory (72 steps to reach 1)

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

1,100,682 550,341 1,651,024 825,512 412,756 206,378 103,189 309,568 154,784 77,392 38,696 19,348 9,674 4,837 14,512 7,256 3,628 1,814 907 2,722 1,361 4,084 2,042 1,021 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34

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