λ
Ratio Atlas
Atlas › Integer Profiles › Node 68,640
68,640
25 × 3 × 5 × 11 × 13
Abundant Even Composite

Prime Factor Structure

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

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 254,016
Proper Divisor Sum 185,376
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #68639 ← → #68659

Radix Representation

Decimal 68640
Binary 10000110000100000 (17 bits)
Octal 0o206040
Hexadecimal 0x10C20

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 32 33 39 40 44 48 52 55 60 65 66 78 80 88 96 104 110 120 130 132 143 156 160 165 176 195 208 220 240 260 264 286 312 330 352 390 416 429 440 480 520 528

Collatz Trajectory (81 steps to reach 1)

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

68,640 34,320 17,160 8,580 4,290 2,145 6,436 3,218 1,609 4,828 2,414 1,207 3,622 1,811 5,434 2,717 8,152 4,076 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74

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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