λ
Ratio Atlas
Atlas › Integer Profiles › Node 81,840
81,840
24 × 3 × 5 × 11 × 31
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 11 × 31
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 285,696
Proper Divisor Sum 203,856
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #81839 ← → #81847

Radix Representation

Decimal 81840
Binary 10011111110110000 (17 bits)
Octal 0o237660
Hexadecimal 0x13FB0

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 31 33 40 44 48 55 60 62 66 80 88 93 110 120 124 132 155 165 176 186 220 240 248 264 310 330 341 372 440 465 496 528 620 660 682 744 880 930 1,023 1,240 1,320 1,364 1,488 1,705

Collatz Trajectory (63 steps to reach 1)

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

81,840 40,920 20,460 10,230 5,115 15,346 7,673 23,020 11,510 5,755 17,266 8,633 25,900 12,950 6,475 19,426 9,713 29,140 14,570 7,285 21,856 10,928 5,464 2,732 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 #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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