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Ratio Atlas
Atlas › Integer Profiles › Node 121,968
121,968
24 × 32 × 7 × 112
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^2 × 7 × 11^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 90
Divisor Sum (σ) 428,792
Proper Divisor Sum 306,824
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #121967 ← → #121993

Radix Representation

Decimal 121968
Binary 11101110001110000 (17 bits)
Octal 0o356160
Hexadecimal 0x1DC70

Divisor Catalog (60 of 90)

1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 121 126 132 144 154 168 176 198 231 242 252 264 308 336 363 396 462 484 504 528 616 693 726 792 847 924 968 1,008 1,089

Collatz Trajectory (74 steps to reach 1)

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

121,968 60,984 30,492 15,246 7,623 22,870 11,435 34,306 17,153 51,460 25,730 12,865 38,596 19,298 9,649 28,948 14,474 7,237 21,712 10,856 5,428 2,714 1,357 4,072 2,036 1,018 509 1,528 764 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22

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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