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Ratio Atlas
Atlas › Integer Profiles › Node 10,105,038
10,105,038
2 × 32 × 17 × 33023
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 17 × 33023
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 23,182,848
Proper Divisor Sum 13,077,810
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #10105037 ← → #10105057

Radix Representation

Decimal 10105038
Binary 100110100011000011001110 (24 bits)
Octal 0o46430316
Hexadecimal 0x9A30CE

Divisor Catalog (24)

1 2 3 6 9 17 18 34 51 102 153 306 33,023 66,046 99,069 198,138 297,207 561,391 594,414 1,122,782 1,684,173 3,368,346 5,052,519 10,105,038

Collatz Trajectory (114 steps to reach 1)

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

10,105,038 5,052,519 15,157,558 7,578,779 22,736,338 11,368,169 34,104,508 17,052,254 8,526,127 25,578,382 12,789,191 38,367,574 19,183,787 57,551,362 28,775,681 86,327,044 43,163,522 21,581,761 64,745,284 32,372,642 16,186,321 48,558,964 24,279,482 12,139,741 36,419,224 18,209,612 9,104,806 4,552,403 13,657,210 6,828,605 20,485,816 10,242,908 5,121,454 2,560,727 7,682,182 3,841,091 11,523,274 5,761,637 17,284,912 8,642,456 4,321,228 2,160,614 1,080,307 3,240,922 1,620,461 4,861,384 2,430,692 1,215,346 607,673 1,823,020 911,510 455,755 1,367,266 683,633 2,050,900 1,025,450 512,725 1,538,176 769,088 384,544

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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