2⁵ × 3³ × 5 × 17

Prime Factor Structure

Factorization String 2^5 × 3^3 × 5 × 17

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 272,160

Proper Divisor Sum 198,720

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #73433 ← → #73453

Radix Representation

Decimal	73440
Binary	10001111011100000 (17 bits)
Octal	0o217340
Hexadecimal	0x11EE0

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 32 34 36 40 45 48 51 54 60 68 72 80 85 90 96 102 108 120 135 136 144 153 160 170 180 204 216 240 255 270 272 288 306 340 360 408 432 459 480 510 540 544

Collatz Trajectory (63 steps to reach 1)

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

73,440 36,720 18,360 9,180 4,590 2,295 6,886 3,443 10,330 5,165 15,496 7,748 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16

Active Feeder Network

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

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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