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Ratio Atlas
Atlas › Integer Profiles › Node 10,057,727
10,057,727
17 × 79 × 7489
Deficient Odd Composite

Prime Factor Structure

Factorization String 17 × 79 × 7489
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,785,600
Proper Divisor Sum 727,873
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #10057711 ← → #10057759

Radix Representation

Decimal 10057727
Binary 100110010111011111111111 (24 bits)
Octal 0o46273777
Hexadecimal 0x9977FF

Divisor Catalog (8)

1 17 79 1,343 7,489 127,313 591,631 10,057,727

Collatz Trajectory (238 steps to reach 1)

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

10,057,727 30,173,182 15,086,591 45,259,774 22,629,887 67,889,662 33,944,831 101,834,494 50,917,247 152,751,742 76,375,871 229,127,614 114,563,807 343,691,422 171,845,711 515,537,134 257,768,567 773,305,702 386,652,851 1,159,958,554 579,979,277 1,739,937,832 869,968,916 434,984,458 217,492,229 652,476,688 326,238,344 163,119,172 81,559,586 40,779,793 122,339,380 61,169,690 30,584,845 91,754,536 45,877,268 22,938,634 11,469,317 34,407,952 17,203,976 8,601,988 4,300,994 2,150,497 6,451,492 3,225,746 1,612,873 4,838,620 2,419,310 1,209,655 3,628,966 1,814,483 5,443,450 2,721,725 8,165,176 4,082,588 2,041,294 1,020,647 3,061,942 1,530,971 4,592,914 2,296,457

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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