λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,625,842
9,625,842
2 × 32 × 17 × 83 × 379
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 17 × 83 × 379
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 22,407,840
Proper Divisor Sum 12,781,998
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9625831 ← → #9625843

Radix Representation

Decimal 9625842
Binary 100100101110000011110010 (24 bits)
Octal 0o44560362
Hexadecimal 0x92E0F2

Divisor Catalog (48)

1 2 3 6 9 17 18 34 51 83 102 153 166 249 306 379 498 747 758 1,137 1,411 1,494 2,274 2,822 3,411 4,233 6,443 6,822 8,466 12,699 12,886 19,329 25,398 31,457 38,658 57,987 62,914 94,371 115,974 188,742 283,113 534,769 566,226 1,069,538 1,604,307 3,208,614 4,812,921 9,625,842

Collatz Trajectory (251 steps to reach 1)

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

9,625,842 4,812,921 14,438,764 7,219,382 3,609,691 10,829,074 5,414,537 16,243,612 8,121,806 4,060,903 12,182,710 6,091,355 18,274,066 9,137,033 27,411,100 13,705,550 6,852,775 20,558,326 10,279,163 30,837,490 15,418,745 46,256,236 23,128,118 11,564,059 34,692,178 17,346,089 52,038,268 26,019,134 13,009,567 39,028,702 19,514,351 58,543,054 29,271,527 87,814,582 43,907,291 131,721,874 65,860,937 197,582,812 98,791,406 49,395,703 148,187,110 74,093,555 222,280,666 111,140,333 333,421,000 166,710,500 83,355,250 41,677,625 125,032,876 62,516,438 31,258,219 93,774,658 46,887,329 140,661,988 70,330,994 35,165,497 105,496,492 52,748,246 26,374,123 79,122,370

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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