λ
Ratio Atlas
Atlas › Integer Profiles › Node 20,006,679
20,006,679
3 × 7 × 11 × 257 × 337
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 11 × 257 × 337
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 33,486,336
Proper Divisor Sum 13,479,657
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #20006663 ← → #20006681

Radix Representation

Decimal 20006679
Binary 1001100010100011100010111 (25 bits)
Octal 0o114243427
Hexadecimal 0x1314717

Divisor Catalog (32)

1 3 7 11 21 33 77 231 257 337 771 1,011 1,799 2,359 2,827 3,707 5,397 7,077 8,481 11,121 19,789 25,949 59,367 77,847 86,609 259,827 606,263 952,699 1,818,789 2,858,097 6,668,893 20,006,679

Collatz Trajectory (190 steps to reach 1)

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

20,006,679 60,020,038 30,010,019 90,030,058 45,015,029 135,045,088 67,522,544 33,761,272 16,880,636 8,440,318 4,220,159 12,660,478 6,330,239 18,990,718 9,495,359 28,486,078 14,243,039 42,729,118 21,364,559 64,093,678 32,046,839 96,140,518 48,070,259 144,210,778 72,105,389 216,316,168 108,158,084 54,079,042 27,039,521 81,118,564 40,559,282 20,279,641 60,838,924 30,419,462 15,209,731 45,629,194 22,814,597 68,443,792 34,221,896 17,110,948 8,555,474 4,277,737 12,833,212 6,416,606 3,208,303 9,624,910 4,812,455 14,437,366 7,218,683 21,656,050 10,828,025 32,484,076 16,242,038 8,121,019 24,363,058 12,181,529 36,544,588 18,272,294 9,136,147 27,408,442

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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