λ
Ratio Atlas
Atlas › Integer Profiles › Node 20,121,918
20,121,918
2 × 3 × 23 × 139 × 1049
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 23 × 139 × 1049
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 42,336,000
Proper Divisor Sum 22,214,082
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #20121901 ← → #20121919

Radix Representation

Decimal 20121918
Binary 1001100110000100100111110 (25 bits)
Octal 0o114604476
Hexadecimal 0x133093E

Divisor Catalog (32)

1 2 3 6 23 46 69 138 139 278 417 834 1,049 2,098 3,147 3,197 6,294 6,394 9,591 19,182 24,127 48,254 72,381 144,762 145,811 291,622 437,433 874,866 3,353,653 6,707,306 10,060,959 20,121,918

Collatz Trajectory (195 steps to reach 1)

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

20,121,918 10,060,959 30,182,878 15,091,439 45,274,318 22,637,159 67,911,478 33,955,739 101,867,218 50,933,609 152,800,828 76,400,414 38,200,207 114,600,622 57,300,311 171,900,934 85,950,467 257,851,402 128,925,701 386,777,104 193,388,552 96,694,276 48,347,138 24,173,569 72,520,708 36,260,354 18,130,177 54,390,532 27,195,266 13,597,633 40,792,900 20,396,450 10,198,225 30,594,676 15,297,338 7,648,669 22,946,008 11,473,004 5,736,502 2,868,251 8,604,754 4,302,377 12,907,132 6,453,566 3,226,783 9,680,350 4,840,175 14,520,526 7,260,263 21,780,790 10,890,395 32,671,186 16,335,593 49,006,780 24,503,390 12,251,695 36,755,086 18,377,543 55,132,630 27,566,315

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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