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Ratio Atlas
Atlas › Integer Profiles › Node 9,750,375
9,750,375
36 × 53 × 107
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^6 × 5^3 × 107
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 18,414,864
Proper Divisor Sum 8,664,489
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9750373 ← → #9750383

Radix Representation

Decimal 9750375
Binary 100101001100011101100111 (24 bits)
Octal 0o45143547
Hexadecimal 0x94C767

Divisor Catalog (56)

1 3 5 9 15 25 27 45 75 81 107 125 135 225 243 321 375 405 535 675 729 963 1,125 1,215 1,605 2,025 2,675 2,889 3,375 3,645 4,815 6,075 8,025 8,667 10,125 13,375 14,445 18,225 24,075 26,001 30,375 40,125 43,335 72,225 78,003 91,125 120,375 130,005 216,675 361,125 390,015 650,025 1,083,375 1,950,075 3,250,125 9,750,375

Collatz Trajectory (251 steps to reach 1)

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

9,750,375 29,251,126 14,625,563 43,876,690 21,938,345 65,815,036 32,907,518 16,453,759 49,361,278 24,680,639 74,041,918 37,020,959 111,062,878 55,531,439 166,594,318 83,297,159 249,891,478 124,945,739 374,837,218 187,418,609 562,255,828 281,127,914 140,563,957 421,691,872 210,845,936 105,422,968 52,711,484 26,355,742 13,177,871 39,533,614 19,766,807 59,300,422 29,650,211 88,950,634 44,475,317 133,425,952 66,712,976 33,356,488 16,678,244 8,339,122 4,169,561 12,508,684 6,254,342 3,127,171 9,381,514 4,690,757 14,072,272 7,036,136 3,518,068 1,759,034 879,517 2,638,552 1,319,276 659,638 329,819 989,458 494,729 1,484,188 742,094 371,047

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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