λ
Ratio Atlas
Atlas › Integer Profiles › Node 71,007,222
71,007,222
2 × 3 × 11 × 13 × 82759
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 11 × 13 × 82759
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 166,844,160
Proper Divisor Sum 95,836,938
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #71007221 ← → #71007239

Radix Representation

Decimal 71007222
Binary 100001110110111101111110110 (27 bits)
Octal 0o416675766
Hexadecimal 0x43B7BF6

Divisor Catalog (32)

1 2 3 6 11 13 22 26 33 39 66 78 143 286 429 858 82,759 165,518 248,277 496,554 910,349 1,075,867 1,820,698 2,151,734 2,731,047 3,227,601 5,462,094 6,455,202 11,834,537 23,669,074 35,503,611 71,007,222

Collatz Trajectory (197 steps to reach 1)

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

71,007,222 35,503,611 106,510,834 53,255,417 159,766,252 79,883,126 39,941,563 119,824,690 59,912,345 179,737,036 89,868,518 44,934,259 134,802,778 67,401,389 202,204,168 101,102,084 50,551,042 25,275,521 75,826,564 37,913,282 18,956,641 56,869,924 28,434,962 14,217,481 42,652,444 21,326,222 10,663,111 31,989,334 15,994,667 47,984,002 23,992,001 71,976,004 35,988,002 17,994,001 53,982,004 26,991,002 13,495,501 40,486,504 20,243,252 10,121,626 5,060,813 15,182,440 7,591,220 3,795,610 1,897,805 5,693,416 2,846,708 1,423,354 711,677 2,135,032 1,067,516 533,758 266,879 800,638 400,319 1,200,958 600,479 1,801,438 900,719 2,702,158

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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