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Ratio Atlas
Atlas › Integer Profiles › Node 86,136
86,136
23 × 3 × 37 × 97
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 37 × 97
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 223,440
Proper Divisor Sum 137,304
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #86131 ← → #86137

Radix Representation

Decimal 86136
Binary 10101000001111000 (17 bits)
Octal 0o250170
Hexadecimal 0x15078

Divisor Catalog (32)

1 2 3 4 6 8 12 24 37 74 97 111 148 194 222 291 296 388 444 582 776 888 1,164 2,328 3,589 7,178 10,767 14,356 21,534 28,712 43,068 86,136

Collatz Trajectory (76 steps to reach 1)

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

86,136 43,068 21,534 10,767 32,302 16,151 48,454 24,227 72,682 36,341 109,024 54,512 27,256 13,628 6,814 3,407 10,222 5,111 15,334 7,667 23,002 11,501 34,504 17,252 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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