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Ratio Atlas
Atlas › Integer Profiles › Node 10,219,833
10,219,833
32 × 13 × 113 × 773
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 13 × 113 × 773
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,058,952
Proper Divisor Sum 5,839,119
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #10219819 ← → #10219841

Radix Representation

Decimal 10219833
Binary 100110111111000100111001 (24 bits)
Octal 0o46770471
Hexadecimal 0x9BF139

Divisor Catalog (24)

1 3 9 13 39 113 117 339 773 1,017 1,469 2,319 4,407 6,957 10,049 13,221 30,147 87,349 90,441 262,047 786,141 1,135,537 3,406,611 10,219,833

Collatz Trajectory (132 steps to reach 1)

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

10,219,833 30,659,500 15,329,750 7,664,875 22,994,626 11,497,313 34,491,940 17,245,970 8,622,985 25,868,956 12,934,478 6,467,239 19,401,718 9,700,859 29,102,578 14,551,289 43,653,868 21,826,934 10,913,467 32,740,402 16,370,201 49,110,604 24,555,302 12,277,651 36,832,954 18,416,477 55,249,432 27,624,716 13,812,358 6,906,179 20,718,538 10,359,269 31,077,808 15,538,904 7,769,452 3,884,726 1,942,363 5,827,090 2,913,545 8,740,636 4,370,318 2,185,159 6,555,478 3,277,739 9,833,218 4,916,609 14,749,828 7,374,914 3,687,457 11,062,372 5,531,186 2,765,593 8,296,780 4,148,390 2,074,195 6,222,586 3,111,293 9,333,880 4,666,940 2,333,470

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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