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Ratio Atlas
Atlas › Integer Profiles › Node 17,836,767
17,836,767
34 × 132 × 1303
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^4 × 13^2 × 1303
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 28,874,472
Proper Divisor Sum 11,037,705
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #17836751 ← → #17836771

Radix Representation

Decimal 17836767
Binary 1000100000010101011011111 (25 bits)
Octal 0o104025337
Hexadecimal 0x1102ADF

Divisor Catalog (30)

1 3 9 13 27 39 81 117 169 351 507 1,053 1,303 1,521 3,909 4,563 11,727 13,689 16,939 35,181 50,817 105,543 152,451 220,207 457,353 660,621 1,372,059 1,981,863 5,945,589 17,836,767

Collatz Trajectory (288 steps to reach 1)

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

17,836,767 53,510,302 26,755,151 80,265,454 40,132,727 120,398,182 60,199,091 180,597,274 90,298,637 270,895,912 135,447,956 67,723,978 33,861,989 101,585,968 50,792,984 25,396,492 12,698,246 6,349,123 19,047,370 9,523,685 28,571,056 14,285,528 7,142,764 3,571,382 1,785,691 5,357,074 2,678,537 8,035,612 4,017,806 2,008,903 6,026,710 3,013,355 9,040,066 4,520,033 13,560,100 6,780,050 3,390,025 10,170,076 5,085,038 2,542,519 7,627,558 3,813,779 11,441,338 5,720,669 17,162,008 8,581,004 4,290,502 2,145,251 6,435,754 3,217,877 9,653,632 4,826,816 2,413,408 1,206,704 603,352 301,676 150,838 75,419 226,258 113,129

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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