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Ratio Atlas
Atlas › Integer Profiles › Node 81,844
81,844
22 × 7 × 37 × 79
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7 × 37 × 79
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 170,240
Proper Divisor Sum 88,396
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #81839 ← → #81847

Radix Representation

Decimal 81844
Binary 10011111110110100 (17 bits)
Octal 0o237664
Hexadecimal 0x13FB4

Divisor Catalog (24)

1 2 4 7 14 28 37 74 79 148 158 259 316 518 553 1,036 1,106 2,212 2,923 5,846 11,692 20,461 40,922 81,844

Collatz Trajectory (63 steps to reach 1)

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

81,844 40,922 20,461 61,384 30,692 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 #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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