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Ratio Atlas
Atlas › Integer Profiles › Node 101,680
101,680
24 × 5 × 31 × 41
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5 × 31 × 41
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 249,984
Proper Divisor Sum 148,304
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #101663 ← → #101681

Radix Representation

Decimal 101680
Binary 11000110100110000 (17 bits)
Octal 0o306460
Hexadecimal 0x18D30

Divisor Catalog (40)

1 2 4 5 8 10 16 20 31 40 41 62 80 82 124 155 164 205 248 310 328 410 496 620 656 820 1,240 1,271 1,640 2,480 2,542 3,280 5,084 6,355 10,168 12,710 20,336 25,420 50,840 101,680

Collatz Trajectory (58 steps to reach 1)

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

101,680 50,840 25,420 12,710 6,355 19,066 9,533 28,600 14,300 7,150 3,575 10,726 5,363 16,090 8,045 24,136 12,068 6,034 3,017 9,052 4,526 2,263 6,790 3,395 10,186 5,093 15,280 7,640 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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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