λ
Ratio Atlas
Atlas › Integer Profiles › Node 81,780
81,780
22 × 3 × 5 × 29 × 47
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 29 × 47
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 241,920
Proper Divisor Sum 160,140
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #81773 ← → #81799

Radix Representation

Decimal 81780
Binary 10011111101110100 (17 bits)
Octal 0o237564
Hexadecimal 0x13F74

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 29 30 47 58 60 87 94 116 141 145 174 188 235 282 290 348 435 470 564 580 705 870 940 1,363 1,410 1,740 2,726 2,820 4,089 5,452 6,815 8,178 13,630 16,356 20,445 27,260 40,890 81,780

Collatz Trajectory (63 steps to reach 1)

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

81,780 40,890 20,445 61,336 30,668 15,334 7,667 23,002 11,501 34,504 17,252 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16

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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