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Ratio Atlas
Atlas › Integer Profiles › Node 10,072,403
10,072,403
112 × 83243
Deficient Odd Composite

Prime Factor Structure

Factorization String 11^2 × 83243
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 11,071,452
Proper Divisor Sum 999,049
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #10072393 ← → #10072409

Radix Representation

Decimal 10072403
Binary 100110011011000101010011 (24 bits)
Octal 0o46330523
Hexadecimal 0x99B153

Divisor Catalog (6)

1 11 121 83,243 915,673 10,072,403

Collatz Trajectory (251 steps to reach 1)

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

10,072,403 30,217,210 15,108,605 45,325,816 22,662,908 11,331,454 5,665,727 16,997,182 8,498,591 25,495,774 12,747,887 38,243,662 19,121,831 57,365,494 28,682,747 86,048,242 43,024,121 129,072,364 64,536,182 32,268,091 96,804,274 48,402,137 145,206,412 72,603,206 36,301,603 108,904,810 54,452,405 163,357,216 81,678,608 40,839,304 20,419,652 10,209,826 5,104,913 15,314,740 7,657,370 3,828,685 11,486,056 5,743,028 2,871,514 1,435,757 4,307,272 2,153,636 1,076,818 538,409 1,615,228 807,614 403,807 1,211,422 605,711 1,817,134 908,567 2,725,702 1,362,851 4,088,554 2,044,277 6,132,832 3,066,416 1,533,208 766,604 383,302

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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