2⁴ × 3 × 7 × 13 × 23

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 13 × 23

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 333,312

Proper Divisor Sum 232,848

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #100459 ← → #100469

Radix Representation

Decimal	100464
Binary	11000100001110000 (17 bits)
Octal	0o304160
Hexadecimal	0x18870

Divisor Catalog (60 of 80)

1 2 3 4 6 7 8 12 13 14 16 21 23 24 26 28 39 42 46 48 52 56 69 78 84 91 92 104 112 138 156 161 168 182 184 208 273 276 299 312 322 336 364 368 483 546 552 598 624 644 728 897 966 1,092 1,104 1,196 1,288 1,456 1,794 1,932

Collatz Trajectory (110 steps to reach 1)

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

100,464 50,232 25,116 12,558 6,279 18,838 9,419 28,258 14,129 42,388 21,194 10,597 31,792 15,896 7,948 3,974 1,987 5,962 2,981 8,944 4,472 2,236 1,118 559 1,678 839 2,518 1,259 3,778 1,889 5,668 2,834 1,417 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282 641

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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