2² × 3² × 5 × 13² × 167

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 13^2 × 167

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 16,786,224

Proper Divisor Sum 11,706,084

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #5080139 ← → #5080151

Radix Representation

Decimal	5080140
Binary	10011011000010001001100 (23 bits)
Octal	0o23302114
Hexadecimal	0x4D844C

Divisor Catalog (60 of 108)

1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 167 169 180 195 234 260 334 338 390 468 501 507 585 668 676 780 835 845 1,002 1,014 1,170 1,503 1,521 1,670 1,690 2,004 2,028 2,171 2,340 2,505 2,535 3,006 3,042 3,340

Collatz Trajectory (157 steps to reach 1)

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

5,080,140 2,540,070 1,270,035 3,810,106 1,905,053 5,715,160 2,857,580 1,428,790 714,395 2,143,186 1,071,593 3,214,780 1,607,390 803,695 2,411,086 1,205,543 3,616,630 1,808,315 5,424,946 2,712,473 8,137,420 4,068,710 2,034,355 6,103,066 3,051,533 9,154,600 4,577,300 2,288,650 1,144,325 3,432,976 1,716,488 858,244 429,122 214,561 643,684 321,842 160,921 482,764 241,382 120,691 362,074 181,037 543,112 271,556 135,778 67,889 203,668 101,834 50,917 152,752 76,376 38,188 19,094 9,547 28,642 14,321 42,964 21,482 10,741 32,224

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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