2⁶ × 3 × 5 × 13²

Prime Factor Structure

Factorization String 2^6 × 3 × 5 × 13^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 557,784

Proper Divisor Sum 395,544

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #162229 ← → #162251

Radix Representation

Decimal	162240
Binary	100111100111000000 (18 bits)
Octal	0o474700
Hexadecimal	0x279C0

Divisor Catalog (60 of 84)

1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 169 192 195 208 240 260 312 320 338 390 416 480 507 520 624 676 780 832 845 960 1,014 1,040 1,248 1,352 1,560 1,690 2,028 2,080

Collatz Trajectory (90 steps to reach 1)

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

162,240 81,120 40,560 20,280 10,140 5,070 2,535 7,606 3,803 11,410 5,705 17,116 8,558 4,279 12,838 6,419 19,258 9,629 28,888 14,444 7,222 3,611 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720 30,860 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172

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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