λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,706,830
9,706,830
2 × 3 × 5 × 7 × 17 × 2719
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7 × 17 × 2719
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 28,200,960
Proper Divisor Sum 18,494,130
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9706799 ← → #9706831

Radix Representation

Decimal 9706830
Binary 100101000001110101001110 (24 bits)
Octal 0o45016516
Hexadecimal 0x941D4E

Divisor Catalog (60 of 64)

1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 119 170 210 238 255 357 510 595 714 1,190 1,785 2,719 3,570 5,438 8,157 13,595 16,314 19,033 27,190 38,066 40,785 46,223 57,099 81,570 92,446 95,165 114,198 138,669 190,330 231,115 277,338 285,495 323,561 462,230 570,990 647,122 693,345 970,683 1,386,690 1,617,805

Collatz Trajectory (238 steps to reach 1)

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

9,706,830 4,853,415 14,560,246 7,280,123 21,840,370 10,920,185 32,760,556 16,380,278 8,190,139 24,570,418 12,285,209 36,855,628 18,427,814 9,213,907 27,641,722 13,820,861 41,462,584 20,731,292 10,365,646 5,182,823 15,548,470 7,774,235 23,322,706 11,661,353 34,984,060 17,492,030 8,746,015 26,238,046 13,119,023 39,357,070 19,678,535 59,035,606 29,517,803 88,553,410 44,276,705 132,830,116 66,415,058 33,207,529 99,622,588 49,811,294 24,905,647 74,716,942 37,358,471 112,075,414 56,037,707 168,113,122 84,056,561 252,169,684 126,084,842 63,042,421 189,127,264 94,563,632 47,281,816 23,640,908 11,820,454 5,910,227 17,730,682 8,865,341 26,596,024 13,298,012

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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