2⁴ × 3 × 7 × 11² × 19 × 53

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 11^2 × 19 × 53

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 240

Divisor Sum (σ) 142,490,880

Proper Divisor Sum 101,550,288

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #40940569 ← → #40940593

Radix Representation

Decimal	40940592
Binary	10011100001011010000110000 (26 bits)
Octal	0o234132060
Hexadecimal	0x270B430

Divisor Catalog (60 of 240)

1 2 3 4 6 7 8 11 12 14 16 19 21 22 24 28 33 38 42 44 48 53 56 57 66 76 77 84 88 106 112 114 121 132 133 152 154 159 168 176 209 212 228 231 242 264 266 304 308 318 336 363 371 399 418 424 456 462 484 528

Collatz Trajectory (191 steps to reach 1)

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

40,940,592 20,470,296 10,235,148 5,117,574 2,558,787 7,676,362 3,838,181 11,514,544 5,757,272 2,878,636 1,439,318 719,659 2,158,978 1,079,489 3,238,468 1,619,234 809,617 2,428,852 1,214,426 607,213 1,821,640 910,820 455,410 227,705 683,116 341,558 170,779 512,338 256,169 768,508 384,254 192,127 576,382 288,191 864,574 432,287 1,296,862 648,431 1,945,294 972,647 2,917,942 1,458,971 4,376,914 2,188,457 6,565,372 3,282,686 1,641,343 4,924,030 2,462,015 7,386,046 3,693,023 11,079,070 5,539,535 16,618,606 8,309,303 24,927,910 12,463,955 37,391,866 18,695,933 56,087,800

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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