2⁶ × 3² × 13 × 19

Prime Factor Structure

Factorization String 2^6 × 3^2 × 13 × 19

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 462,280

Proper Divisor Sum 320,008

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #142271 ← → #142297

Radix Representation

Decimal	142272
Binary	100010101111000000 (18 bits)
Octal	0o425700
Hexadecimal	0x22BC0

Divisor Catalog (60 of 84)

1 2 3 4 6 8 9 12 13 16 18 19 24 26 32 36 38 39 48 52 57 64 72 76 78 96 104 114 117 144 152 156 171 192 208 228 234 247 288 304 312 342 416 456 468 494 576 608 624 684 741 832 912 936 988 1,216 1,248 1,368 1,482 1,824

Collatz Trajectory (188 steps to reach 1)

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

142,272 71,136 35,568 17,784 8,892 4,446 2,223 6,670 3,335 10,006 5,003 15,010 7,505 22,516 11,258 5,629 16,888 8,444 4,222 2,111 6,334 3,167 9,502 4,751 14,254 7,127 21,382 10,691 32,074 16,037 48,112 24,056 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394 25,697 77,092 38,546 19,273 57,820 28,910 14,455 43,366 21,683 65,050 32,525

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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