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Ratio Atlas
Atlas › Integer Profiles › Node 727,017
727,017
3 × 67 × 3617
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 67 × 3617
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 984,096
Proper Divisor Sum 257,079
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #727009 ← → #727019

Radix Representation

Decimal 727017
Binary 10110001011111101001 (20 bits)
Octal 0o2613751
Hexadecimal 0xB17E9

Divisor Catalog (8)

1 3 67 201 3,617 10,851 242,339 727,017

Collatz Trajectory (149 steps to reach 1)

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

727,017 2,181,052 1,090,526 545,263 1,635,790 817,895 2,453,686 1,226,843 3,680,530 1,840,265 5,520,796 2,760,398 1,380,199 4,140,598 2,070,299 6,210,898 3,105,449 9,316,348 4,658,174 2,329,087 6,987,262 3,493,631 10,480,894 5,240,447 15,721,342 7,860,671 23,582,014 11,791,007 35,373,022 17,686,511 53,059,534 26,529,767 79,589,302 39,794,651 119,383,954 59,691,977 179,075,932 89,537,966 44,768,983 134,306,950 67,153,475 201,460,426 100,730,213 302,190,640 151,095,320 75,547,660 37,773,830 18,886,915 56,660,746 28,330,373 84,991,120 42,495,560 21,247,780 10,623,890 5,311,945 15,935,836 7,967,918 3,983,959 11,951,878 5,975,939

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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