λ
Ratio Atlas
Atlas › Integer Profiles › Node 40,920
40,920
23 × 3 × 5 × 11 × 31
Abundant Even Composite

Prime Factor Structure

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

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 138,240
Proper Divisor Sum 97,320
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #40903 ← → #40927

Radix Representation

Decimal 40920
Binary 1001111111011000 (16 bits)
Octal 0o117730
Hexadecimal 0x9FD8

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 31 33 40 44 55 60 62 66 88 93 110 120 124 132 155 165 186 220 248 264 310 330 341 372 440 465 620 660 682 744 930 1,023 1,240 1,320 1,364 1,705 1,860 2,046 2,728 3,410 3,720 4,092 5,115 6,820 8,184

Collatz Trajectory (62 steps to reach 1)

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

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 8

Active Feeder Network

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

Feeder #8,365,252 Feeder #1,448,561 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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