λ
Ratio Atlas
Atlas › Integer Profiles › Node 680,680
680,680
23 × 5 × 7 × 11 × 13 × 17
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 11 × 13 × 17
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 128
Divisor Sum (σ) 2,177,280
Proper Divisor Sum 1,496,600
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #680657 ← → #680681

Radix Representation

Decimal 680680
Binary 10100110001011101000 (20 bits)
Octal 0o2461350
Hexadecimal 0xA62E8

Divisor Catalog (60 of 128)

1 2 4 5 7 8 10 11 13 14 17 20 22 26 28 34 35 40 44 52 55 56 65 68 70 77 85 88 91 104 110 119 130 136 140 143 154 170 182 187 220 221 238 260 280 286 308 340 364 374 385 440 442 455 476 520 572 595 616 680

Collatz Trajectory (61 steps to reach 1)

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

680,680 340,340 170,170 85,085 255,256 127,628 63,814 31,907 95,722 47,861 143,584 71,792 35,896 17,948 8,974 4,487 13,462 6,731 20,194 10,097 30,292 15,146 7,573 22,720 11,360 5,680 2,840 1,420 710 355 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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