λ
Ratio Atlas
Atlas › Integer Profiles › Node 289,680
289,680
24 × 3 × 5 × 17 × 71
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 17 × 71
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 964,224
Proper Divisor Sum 674,544
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #289669 ← → #289717

Radix Representation

Decimal 289680
Binary 1000110101110010000 (19 bits)
Octal 0o1065620
Hexadecimal 0x46B90

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 71 80 85 102 120 136 142 170 204 213 240 255 272 284 340 355 408 426 510 568 680 710 816 852 1,020 1,065 1,136 1,207 1,360 1,420 1,704 2,040 2,130 2,414 2,840 3,408 3,621 4,080 4,260

Collatz Trajectory (44 steps to reach 1)

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

289,680 144,840 72,420 36,210 18,105 54,316 27,158 13,579 40,738 20,369 61,108 30,554 15,277 45,832 22,916 11,458 5,729 17,188 8,594 4,297 12,892 6,446 3,223 9,670 4,835 14,506 7,253 21,760 10,880 5,440 2,720 1,360 680 340 170 85 256 128 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 #3,913,373 Feeder #8,365,252 Feeder #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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