2³ × 3³ × 11 × 13 × 17 × 47

Prime Factor Structure

Factorization String 2^3 × 3^3 × 11 × 13 × 17 × 47

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 256

Divisor Sum (σ) 87,091,200

Proper Divisor Sum 62,411,688

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #24679507 ← → #24679513

Radix Representation

Decimal	24679512
Binary	1011110001001010001011000 (25 bits)
Octal	0o136112130
Hexadecimal	0x1789458

Divisor Catalog (60 of 256)

1 2 3 4 6 8 9 11 12 13 17 18 22 24 26 27 33 34 36 39 44 47 51 52 54 66 68 72 78 88 94 99 102 104 108 117 132 136 141 143 153 156 187 188 198 204 216 221 234 264 282 286 297 306 312 351 374 376 396 408

Collatz Trajectory (141 steps to reach 1)

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

24,679,512 12,339,756 6,169,878 3,084,939 9,254,818 4,627,409 13,882,228 6,941,114 3,470,557 10,411,672 5,205,836 2,602,918 1,301,459 3,904,378 1,952,189 5,856,568 2,928,284 1,464,142 732,071 2,196,214 1,098,107 3,294,322 1,647,161 4,941,484 2,470,742 1,235,371 3,706,114 1,853,057 5,559,172 2,779,586 1,389,793 4,169,380 2,084,690 1,042,345 3,127,036 1,563,518 781,759 2,345,278 1,172,639 3,517,918 1,758,959 5,276,878 2,638,439 7,915,318 3,957,659 11,872,978 5,936,489 17,809,468 8,904,734 4,452,367 13,357,102 6,678,551 20,035,654 10,017,827 30,053,482 15,026,741 45,080,224 22,540,112 11,270,056 5,635,028

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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