λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,306,080
9,306,080
25 × 5 × 72 × 1187
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 5 × 7^2 × 1187
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 25,596,648
Proper Divisor Sum 16,290,568
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #9306079 ← → #9306097

Radix Representation

Decimal 9306080
Binary 100011011111111111100000 (24 bits)
Octal 0o43377740
Hexadecimal 0x8DFFE0

Divisor Catalog (60 of 72)

1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1,120 1,187 1,568 1,960 2,374 3,920 4,748 5,935 7,840 8,309 9,496 11,870 16,618 18,992 23,740 33,236 37,984 41,545 47,480 58,163 66,472 83,090 94,960 116,326 132,944 166,180 189,920 232,652 265,888

Collatz Trajectory (300 steps to reach 1)

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

9,306,080 4,653,040 2,326,520 1,163,260 581,630 290,815 872,446 436,223 1,308,670 654,335 1,963,006 981,503 2,944,510 1,472,255 4,416,766 2,208,383 6,625,150 3,312,575 9,937,726 4,968,863 14,906,590 7,453,295 22,359,886 11,179,943 33,539,830 16,769,915 50,309,746 25,154,873 75,464,620 37,732,310 18,866,155 56,598,466 28,299,233 84,897,700 42,448,850 21,224,425 63,673,276 31,836,638 15,918,319 47,754,958 23,877,479 71,632,438 35,816,219 107,448,658 53,724,329 161,172,988 80,586,494 40,293,247 120,879,742 60,439,871 181,319,614 90,659,807 271,979,422 135,989,711 407,969,134 203,984,567 611,953,702 305,976,851 917,930,554 458,965,277

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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