2⁵ × 3³ × 11 × 53 × 71

Prime Factor Structure

Factorization String 2^5 × 3^3 × 11 × 53 × 71

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 117,573,120

Proper Divisor Sum 81,809,568

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #35763527 ← → #35763587

Radix Representation

Decimal	35763552
Binary	10001000011011010101100000 (26 bits)
Octal	0o210332540
Hexadecimal	0x221B560

Divisor Catalog (60 of 192)

1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 53 54 66 71 72 88 96 99 106 108 132 142 144 159 176 198 212 213 216 264 284 288 297 318 352 396 424 426 432 477 528 568 583 594 636 639 781 792 848 852 864

Collatz Trajectory (165 steps to reach 1)

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

35,763,552 17,881,776 8,940,888 4,470,444 2,235,222 1,117,611 3,352,834 1,676,417 5,029,252 2,514,626 1,257,313 3,771,940 1,885,970 942,985 2,828,956 1,414,478 707,239 2,121,718 1,060,859 3,182,578 1,591,289 4,773,868 2,386,934 1,193,467 3,580,402 1,790,201 5,370,604 2,685,302 1,342,651 4,027,954 2,013,977 6,041,932 3,020,966 1,510,483 4,531,450 2,265,725 6,797,176 3,398,588 1,699,294 849,647 2,548,942 1,274,471 3,823,414 1,911,707 5,735,122 2,867,561 8,602,684 4,301,342 2,150,671 6,452,014 3,226,007 9,678,022 4,839,011 14,517,034 7,258,517 21,775,552 10,887,776 5,443,888 2,721,944 1,360,972

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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