λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,757,770
9,757,770
2 × 3 × 5 × 11 × 29569
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 11 × 29569
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 25,548,480
Proper Divisor Sum 15,790,710
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9757763 ← → #9757793

Radix Representation

Decimal 9757770
Binary 100101001110010001001010 (24 bits)
Octal 0o45162112
Hexadecimal 0x94E44A

Divisor Catalog (32)

1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 29,569 59,138 88,707 147,845 177,414 295,690 325,259 443,535 650,518 887,070 975,777 1,626,295 1,951,554 3,252,590 4,878,885 9,757,770

Collatz Trajectory (145 steps to reach 1)

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

9,757,770 4,878,885 14,636,656 7,318,328 3,659,164 1,829,582 914,791 2,744,374 1,372,187 4,116,562 2,058,281 6,174,844 3,087,422 1,543,711 4,631,134 2,315,567 6,946,702 3,473,351 10,420,054 5,210,027 15,630,082 7,815,041 23,445,124 11,722,562 5,861,281 17,583,844 8,791,922 4,395,961 13,187,884 6,593,942 3,296,971 9,890,914 4,945,457 14,836,372 7,418,186 3,709,093 11,127,280 5,563,640 2,781,820 1,390,910 695,455 2,086,366 1,043,183 3,129,550 1,564,775 4,694,326 2,347,163 7,041,490 3,520,745 10,562,236 5,281,118 2,640,559 7,921,678 3,960,839 11,882,518 5,941,259 17,823,778 8,911,889 26,735,668 13,367,834

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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