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Ratio Atlas
Atlas › Integer Profiles › Node 10,169,332
10,169,332
22 × 172 × 19 × 463
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 17^2 × 19 × 463
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 19,942,720
Proper Divisor Sum 9,773,388
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #10169323 ← → #10169347

Radix Representation

Decimal 10169332
Binary 100110110010101111110100 (24 bits)
Octal 0o46625764
Hexadecimal 0x9B2BF4

Divisor Catalog (36)

1 2 4 17 19 34 38 68 76 289 323 463 578 646 926 1,156 1,292 1,852 5,491 7,871 8,797 10,982 15,742 17,594 21,964 31,484 35,188 133,807 149,549 267,614 299,098 535,228 598,196 2,542,333 5,084,666 10,169,332

Collatz Trajectory (158 steps to reach 1)

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

10,169,332 5,084,666 2,542,333 7,627,000 3,813,500 1,906,750 953,375 2,860,126 1,430,063 4,290,190 2,145,095 6,435,286 3,217,643 9,652,930 4,826,465 14,479,396 7,239,698 3,619,849 10,859,548 5,429,774 2,714,887 8,144,662 4,072,331 12,216,994 6,108,497 18,325,492 9,162,746 4,581,373 13,744,120 6,872,060 3,436,030 1,718,015 5,154,046 2,577,023 7,731,070 3,865,535 11,596,606 5,798,303 17,394,910 8,697,455 26,092,366 13,046,183 39,138,550 19,569,275 58,707,826 29,353,913 88,061,740 44,030,870 22,015,435 66,046,306 33,023,153 99,069,460 49,534,730 24,767,365 74,302,096 37,151,048 18,575,524 9,287,762 4,643,881 13,931,644

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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