2⁴ × 3⁴ × 5 × 37

Prime Factor Structure

Factorization String 2^4 × 3^4 × 5 × 37

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 100

Divisor Sum (σ) 855,228

Proper Divisor Sum 615,468

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #239753 ← → #239779

Radix Representation

Decimal	239760
Binary	111010100010010000 (18 bits)
Octal	0o724220
Hexadecimal	0x3A890

Divisor Catalog (60 of 100)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 37 40 45 48 54 60 72 74 80 81 90 108 111 120 135 144 148 162 180 185 216 222 240 270 296 324 333 360 370 405 432 444 540 555 592 648 666 720 740 810 888 999

Collatz Trajectory (67 steps to reach 1)

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

239,760 119,880 59,940 29,970 14,985 44,956 22,478 11,239 33,718 16,859 50,578 25,289 75,868 37,934 18,967 56,902 28,451 85,354 42,677 128,032 64,016 32,008 16,004 8,002 4,001 12,004 6,002 3,001 9,004 4,502 2,251 6,754 3,377 10,132 5,066 2,533 7,600 3,800 1,900 950 475 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256

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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