λ
Ratio Atlas
Atlas › Integer Profiles › Node 56,280
56,280
23 × 3 × 5 × 7 × 67
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 7 × 67
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 195,840
Proper Divisor Sum 139,560
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #56269 ← → #56299

Radix Representation

Decimal 56280
Binary 1101101111011000 (16 bits)
Octal 0o155730
Hexadecimal 0xDBD8

Divisor Catalog (60 of 64)

1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 67 70 84 105 120 134 140 168 201 210 268 280 335 402 420 469 536 670 804 840 938 1,005 1,340 1,407 1,608 1,876 2,010 2,345 2,680 2,814 3,752 4,020 4,690 5,628 7,035 8,040 9,380 11,256

Collatz Trajectory (109 steps to reach 1)

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

56,280 28,140 14,070 7,035 21,106 10,553 31,660 15,830 7,915 23,746 11,873 35,620 17,810 8,905 26,716 13,358 6,679 20,038 10,019 30,058 15,029 45,088 22,544 11,272 5,636 2,818 1,409 4,228 2,114 1,057 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719 2,158

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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