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Ratio Atlas
Atlas › Integer Profiles › Node 10,073,481
10,073,481
3 × 11 × 31 × 43 × 229
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 11 × 31 × 43 × 229
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,544,320
Proper Divisor Sum 5,470,839
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #10073467 ← → #10073501

Radix Representation

Decimal 10073481
Binary 100110011011010110001001 (24 bits)
Octal 0o46332611
Hexadecimal 0x99B589

Divisor Catalog (32)

1 3 11 31 33 43 93 129 229 341 473 687 1,023 1,333 1,419 2,519 3,999 7,099 7,557 9,847 14,663 21,297 29,541 43,989 78,089 108,317 234,267 305,257 324,951 915,771 3,357,827 10,073,481

Collatz Trajectory (220 steps to reach 1)

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

10,073,481 30,220,444 15,110,222 7,555,111 22,665,334 11,332,667 33,998,002 16,999,001 50,997,004 25,498,502 12,749,251 38,247,754 19,123,877 57,371,632 28,685,816 14,342,908 7,171,454 3,585,727 10,757,182 5,378,591 16,135,774 8,067,887 24,203,662 12,101,831 36,305,494 18,152,747 54,458,242 27,229,121 81,687,364 40,843,682 20,421,841 61,265,524 30,632,762 15,316,381 45,949,144 22,974,572 11,487,286 5,743,643 17,230,930 8,615,465 25,846,396 12,923,198 6,461,599 19,384,798 9,692,399 29,077,198 14,538,599 43,615,798 21,807,899 65,423,698 32,711,849 98,135,548 49,067,774 24,533,887 73,601,662 36,800,831 110,402,494 55,201,247 165,603,742 82,801,871

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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