λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,706,770
9,706,770
2 × 33 × 5 × 35951
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 35951
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 25,885,440
Proper Divisor Sum 16,178,670
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9706721 ← → #9706771

Radix Representation

Decimal 9706770
Binary 100101000001110100010010 (24 bits)
Octal 0o45016422
Hexadecimal 0x941D12

Divisor Catalog (32)

1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 35,951 71,902 107,853 179,755 215,706 323,559 359,510 539,265 647,118 970,677 1,078,530 1,617,795 1,941,354 3,235,590 4,853,385 9,706,770

Collatz Trajectory (207 steps to reach 1)

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

9,706,770 4,853,385 14,560,156 7,280,078 3,640,039 10,920,118 5,460,059 16,380,178 8,190,089 24,570,268 12,285,134 6,142,567 18,427,702 9,213,851 27,641,554 13,820,777 41,462,332 20,731,166 10,365,583 31,096,750 15,548,375 46,645,126 23,322,563 69,967,690 34,983,845 104,951,536 52,475,768 26,237,884 13,118,942 6,559,471 19,678,414 9,839,207 29,517,622 14,758,811 44,276,434 22,138,217 66,414,652 33,207,326 16,603,663 49,810,990 24,905,495 74,716,486 37,358,243 112,074,730 56,037,365 168,112,096 84,056,048 42,028,024 21,014,012 10,507,006 5,253,503 15,760,510 7,880,255 23,640,766 11,820,383 35,461,150 17,730,575 53,191,726 26,595,863 79,787,590

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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