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Ratio Atlas
Atlas › Integer Profiles › Node 9,759,735
9,759,735
32 × 5 × 73 × 2971
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 73 × 2971
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 17,154,384
Proper Divisor Sum 7,394,649
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9759727 ← → #9759769

Radix Representation

Decimal 9759735
Binary 100101001110101111110111 (24 bits)
Octal 0o45165767
Hexadecimal 0x94EBF7

Divisor Catalog (24)

1 3 5 9 15 45 73 219 365 657 1,095 2,971 3,285 8,913 14,855 26,739 44,565 133,695 216,883 650,649 1,084,415 1,951,947 3,253,245 9,759,735

Collatz Trajectory (251 steps to reach 1)

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

9,759,735 29,279,206 14,639,603 43,918,810 21,959,405 65,878,216 32,939,108 16,469,554 8,234,777 24,704,332 12,352,166 6,176,083 18,528,250 9,264,125 27,792,376 13,896,188 6,948,094 3,474,047 10,422,142 5,211,071 15,633,214 7,816,607 23,449,822 11,724,911 35,174,734 17,587,367 52,762,102 26,381,051 79,143,154 39,571,577 118,714,732 59,357,366 29,678,683 89,036,050 44,518,025 133,554,076 66,777,038 33,388,519 100,165,558 50,082,779 150,248,338 75,124,169 225,372,508 112,686,254 56,343,127 169,029,382 84,514,691 253,544,074 126,772,037 380,316,112 190,158,056 95,079,028 47,539,514 23,769,757 71,309,272 35,654,636 17,827,318 8,913,659 26,740,978 13,370,489

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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