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Ratio Atlas
Atlas › Integer Profiles › Node 10,446,751
10,446,751
74 × 19 × 229
Deficient Odd Composite

Prime Factor Structure

Factorization String 7^4 × 19 × 229
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 12,884,600
Proper Divisor Sum 2,437,849
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #10446749 ← → #10446763

Radix Representation

Decimal 10446751
Binary 100111110110011110011111 (24 bits)
Octal 0o47663637
Hexadecimal 0x9F679F

Divisor Catalog (20)

1 7 19 49 133 229 343 931 1,603 2,401 4,351 6,517 11,221 30,457 45,619 78,547 213,199 549,829 1,492,393 10,446,751

Collatz Trajectory (158 steps to reach 1)

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

10,446,751 31,340,254 15,670,127 47,010,382 23,505,191 70,515,574 35,257,787 105,773,362 52,886,681 158,660,044 79,330,022 39,665,011 118,995,034 59,497,517 178,492,552 89,246,276 44,623,138 22,311,569 66,934,708 33,467,354 16,733,677 50,201,032 25,100,516 12,550,258 6,275,129 18,825,388 9,412,694 4,706,347 14,119,042 7,059,521 21,178,564 10,589,282 5,294,641 15,883,924 7,941,962 3,970,981 11,912,944 5,956,472 2,978,236 1,489,118 744,559 2,233,678 1,116,839 3,350,518 1,675,259 5,025,778 2,512,889 7,538,668 3,769,334 1,884,667 5,654,002 2,827,001 8,481,004 4,240,502 2,120,251 6,360,754 3,180,377 9,541,132 4,770,566 2,385,283

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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