λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,708,024
9,708,024
23 × 3 × 23 × 43 × 409
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 23 × 43 × 409
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 25,977,600
Proper Divisor Sum 16,269,576
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9707989 ← → #9708113

Radix Representation

Decimal 9708024
Binary 100101000010000111111000 (24 bits)
Octal 0o45020770
Hexadecimal 0x9421F8

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 23 24 43 46 69 86 92 129 138 172 184 258 276 344 409 516 552 818 989 1,032 1,227 1,636 1,978 2,454 2,967 3,272 3,956 4,908 5,934 7,912 9,407 9,816 11,868 17,587 18,814 23,736 28,221 35,174 37,628 52,761 56,442 70,348 75,256 105,522 112,884 140,696 211,044 225,768 404,501 422,088 809,002 1,213,503 1,618,004

Collatz Trajectory (114 steps to reach 1)

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

9,708,024 4,854,012 2,427,006 1,213,503 3,640,510 1,820,255 5,460,766 2,730,383 8,191,150 4,095,575 12,286,726 6,143,363 18,430,090 9,215,045 27,645,136 13,822,568 6,911,284 3,455,642 1,727,821 5,183,464 2,591,732 1,295,866 647,933 1,943,800 971,900 485,950 242,975 728,926 364,463 1,093,390 546,695 1,640,086 820,043 2,460,130 1,230,065 3,690,196 1,845,098 922,549 2,767,648 1,383,824 691,912 345,956 172,978 86,489 259,468 129,734 64,867 194,602 97,301 291,904 145,952 72,976 36,488 18,244 9,122 4,561 13,684 6,842 3,421 10,264

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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