λ
Ratio Atlas
Atlas › Integer Profiles › Node 731,920
731,920
24 × 5 × 7 × 1307
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 1307
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 1,946,304
Proper Divisor Sum 1,214,384
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #731911 ← → #731921

Radix Representation

Decimal 731920
Binary 10110010101100010000 (20 bits)
Octal 0o2625420
Hexadecimal 0xB2B10

Divisor Catalog (40)

1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 1,307 2,614 5,228 6,535 9,149 10,456 13,070 18,298 20,912 26,140 36,596 45,745 52,280 73,192 91,490 104,560 146,384 182,980 365,960 731,920

Collatz Trajectory (74 steps to reach 1)

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

731,920 365,960 182,980 91,490 45,745 137,236 68,618 34,309 102,928 51,464 25,732 12,866 6,433 19,300 9,650 4,825 14,476 7,238 3,619 10,858 5,429 16,288 8,144 4,072 2,036 1,018 509 1,528 764 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22

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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