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Ratio Atlas
Atlas › Integer Profiles › Node 723,945
723,945
3 × 5 × 172 × 167
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 17^2 × 167
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,237,824
Proper Divisor Sum 513,879
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #723923 ← → #723949

Radix Representation

Decimal 723945
Binary 10110000101111101001 (20 bits)
Octal 0o2605751
Hexadecimal 0xB0BE9

Divisor Catalog (24)

1 3 5 15 17 51 85 167 255 289 501 835 867 1,445 2,505 2,839 4,335 8,517 14,195 42,585 48,263 144,789 241,315 723,945

Collatz Trajectory (273 steps to reach 1)

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

723,945 2,171,836 1,085,918 542,959 1,628,878 814,439 2,443,318 1,221,659 3,664,978 1,832,489 5,497,468 2,748,734 1,374,367 4,123,102 2,061,551 6,184,654 3,092,327 9,276,982 4,638,491 13,915,474 6,957,737 20,873,212 10,436,606 5,218,303 15,654,910 7,827,455 23,482,366 11,741,183 35,223,550 17,611,775 52,835,326 26,417,663 79,252,990 39,626,495 118,879,486 59,439,743 178,319,230 89,159,615 267,478,846 133,739,423 401,218,270 200,609,135 601,827,406 300,913,703 902,741,110 451,370,555 1,354,111,666 677,055,833 2,031,167,500 1,015,583,750 507,791,875 1,523,375,626 761,687,813 2,285,063,440 1,142,531,720 571,265,860 285,632,930 142,816,465 428,449,396 214,224,698

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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