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Ratio Atlas
Atlas › Integer Profiles › Node 726,975
726,975
34 × 52 × 359
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^4 × 5^2 × 359
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 1,350,360
Proper Divisor Sum 623,385
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #726953 ← → #726983

Radix Representation

Decimal 726975
Binary 10110001011110111111 (20 bits)
Octal 0o2613677
Hexadecimal 0xB17BF

Divisor Catalog (30)

1 3 5 9 15 25 27 45 75 81 135 225 359 405 675 1,077 1,795 2,025 3,231 5,385 8,975 9,693 16,155 26,925 29,079 48,465 80,775 145,395 242,325 726,975

Collatz Trajectory (273 steps to reach 1)

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

726,975 2,180,926 1,090,463 3,271,390 1,635,695 4,907,086 2,453,543 7,360,630 3,680,315 11,040,946 5,520,473 16,561,420 8,280,710 4,140,355 12,421,066 6,210,533 18,631,600 9,315,800 4,657,900 2,328,950 1,164,475 3,493,426 1,746,713 5,240,140 2,620,070 1,310,035 3,930,106 1,965,053 5,895,160 2,947,580 1,473,790 736,895 2,210,686 1,105,343 3,316,030 1,658,015 4,974,046 2,487,023 7,461,070 3,730,535 11,191,606 5,595,803 16,787,410 8,393,705 25,181,116 12,590,558 6,295,279 18,885,838 9,442,919 28,328,758 14,164,379 42,493,138 21,246,569 63,739,708 31,869,854 15,934,927 47,804,782 23,902,391 71,707,174 35,853,587

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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