λ
Ratio Atlas
Atlas › Integer Profiles › Node 83,177,072
83,177,072
24 × 11 × 472597
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 11 × 472597
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 175,806,456
Proper Divisor Sum 92,629,384
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #83177071 ← → #83177077

Radix Representation

Decimal 83177072
Binary 100111101010010111001110000 (27 bits)
Octal 0o475227160
Hexadecimal 0x4F52E70

Divisor Catalog (20)

1 2 4 8 11 16 22 44 88 176 472,597 945,194 1,890,388 3,780,776 5,198,567 7,561,552 10,397,134 20,794,268 41,588,536 83,177,072

Collatz Trajectory (236 steps to reach 1)

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

83,177,072 41,588,536 20,794,268 10,397,134 5,198,567 15,595,702 7,797,851 23,393,554 11,696,777 35,090,332 17,545,166 8,772,583 26,317,750 13,158,875 39,476,626 19,738,313 59,214,940 29,607,470 14,803,735 44,411,206 22,205,603 66,616,810 33,308,405 99,925,216 49,962,608 24,981,304 12,490,652 6,245,326 3,122,663 9,367,990 4,683,995 14,051,986 7,025,993 21,077,980 10,538,990 5,269,495 15,808,486 7,904,243 23,712,730 11,856,365 35,569,096 17,784,548 8,892,274 4,446,137 13,338,412 6,669,206 3,334,603 10,003,810 5,001,905 15,005,716 7,502,858 3,751,429 11,254,288 5,627,144 2,813,572 1,406,786 703,393 2,110,180 1,055,090 527,545

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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