λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,537,231
9,537,231
3 × 11 × 37 × 73 × 107
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 11 × 37 × 73 × 107
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,577,408
Proper Divisor Sum 5,040,177
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9537211 ← → #9537239

Radix Representation

Decimal 9537231
Binary 100100011000011011001111 (24 bits)
Octal 0o44303317
Hexadecimal 0x9186CF

Divisor Catalog (32)

1 3 11 33 37 73 107 111 219 321 407 803 1,177 1,221 2,409 2,701 3,531 3,959 7,811 8,103 11,877 23,433 29,711 43,549 85,921 89,133 130,647 257,763 289,007 867,021 3,179,077 9,537,231

Collatz Trajectory (238 steps to reach 1)

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

9,537,231 28,611,694 14,305,847 42,917,542 21,458,771 64,376,314 32,188,157 96,564,472 48,282,236 24,141,118 12,070,559 36,211,678 18,105,839 54,317,518 27,158,759 81,476,278 40,738,139 122,214,418 61,107,209 183,321,628 91,660,814 45,830,407 137,491,222 68,745,611 206,236,834 103,118,417 309,355,252 154,677,626 77,338,813 232,016,440 116,008,220 58,004,110 29,002,055 87,006,166 43,503,083 130,509,250 65,254,625 195,763,876 97,881,938 48,940,969 146,822,908 73,411,454 36,705,727 110,117,182 55,058,591 165,175,774 82,587,887 247,763,662 123,881,831 371,645,494 185,822,747 557,468,242 278,734,121 836,202,364 418,101,182 209,050,591 627,151,774 313,575,887 940,727,662 470,363,831

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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