λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,507,135
9,507,135
3 × 5 × 11 × 157 × 367
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 11 × 157 × 367
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,745,472
Proper Divisor Sum 7,238,337
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9507133 ← → #9507139

Radix Representation

Decimal 9507135
Binary 100100010001000100111111 (24 bits)
Octal 0o44210477
Hexadecimal 0x91113F

Divisor Catalog (32)

1 3 5 11 15 33 55 157 165 367 471 785 1,101 1,727 1,835 2,355 4,037 5,181 5,505 8,635 12,111 20,185 25,905 57,619 60,555 172,857 288,095 633,809 864,285 1,901,427 3,169,045 9,507,135

Collatz Trajectory (150 steps to reach 1)

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

9,507,135 28,521,406 14,260,703 42,782,110 21,391,055 64,173,166 32,086,583 96,259,750 48,129,875 144,389,626 72,194,813 216,584,440 108,292,220 54,146,110 27,073,055 81,219,166 40,609,583 121,828,750 60,914,375 182,743,126 91,371,563 274,114,690 137,057,345 411,172,036 205,586,018 102,793,009 308,379,028 154,189,514 77,094,757 231,284,272 115,642,136 57,821,068 28,910,534 14,455,267 43,365,802 21,682,901 65,048,704 32,524,352 16,262,176 8,131,088 4,065,544 2,032,772 1,016,386 508,193 1,524,580 762,290 381,145 1,143,436 571,718 285,859 857,578 428,789 1,286,368 643,184 321,592 160,796 80,398 40,199 120,598 60,299

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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