λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,757,572
9,757,572
22 × 3 × 11 × 29 × 2549
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 29 × 2549
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 25,704,000
Proper Divisor Sum 15,946,428
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9757523 ← → #9757613

Radix Representation

Decimal 9757572
Binary 100101001110001110000100 (24 bits)
Octal 0o45161604
Hexadecimal 0x94E384

Divisor Catalog (48)

1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 957 1,276 1,914 2,549 3,828 5,098 7,647 10,196 15,294 28,039 30,588 56,078 73,921 84,117 112,156 147,842 168,234 221,763 295,684 336,468 443,526 813,131 887,052 1,626,262 2,439,393 3,252,524 4,878,786 9,757,572

Collatz Trajectory (145 steps to reach 1)

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

9,757,572 4,878,786 2,439,393 7,318,180 3,659,090 1,829,545 5,488,636 2,744,318 1,372,159 4,116,478 2,058,239 6,174,718 3,087,359 9,262,078 4,631,039 13,893,118 6,946,559 20,839,678 10,419,839 31,259,518 15,629,759 46,889,278 23,444,639 70,333,918 35,166,959 105,500,878 52,750,439 158,251,318 79,125,659 237,376,978 118,688,489 356,065,468 178,032,734 89,016,367 267,049,102 133,524,551 400,573,654 200,286,827 600,860,482 300,430,241 901,290,724 450,645,362 225,322,681 675,968,044 337,984,022 168,992,011 506,976,034 253,488,017 760,464,052 380,232,026 190,116,013 570,348,040 285,174,020 142,587,010 71,293,505 213,880,516 106,940,258 53,470,129 160,410,388 80,205,194

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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