2⁵ × 3² × 5 × 73 × 79

Prime Factor Structure

Factorization String 2^5 × 3^2 × 5 × 73 × 79

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 29,090,880

Proper Divisor Sum 20,786,400

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8304467 ← → #8304481

Radix Representation

Decimal	8304480
Binary	11111101011011101100000 (23 bits)
Octal	0o37533540
Hexadecimal	0x7EB760

Divisor Catalog (60 of 144)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 73 79 80 90 96 120 144 146 158 160 180 219 237 240 288 292 316 360 365 395 438 474 480 584 632 657 711 720 730 790 876 948 1,095 1,168 1,185 1,264 1,314

Collatz Trajectory (80 steps to reach 1)

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

8,304,480 4,152,240 2,076,120 1,038,060 519,030 259,515 778,546 389,273 1,167,820 583,910 291,955 875,866 437,933 1,313,800 656,900 328,450 164,225 492,676 246,338 123,169 369,508 184,754 92,377 277,132 138,566 69,283 207,850 103,925 311,776 155,888 77,944 38,972 19,486 9,743 29,230 14,615 43,846 21,923 65,770 32,885 98,656 49,328 24,664 12,332 6,166 3,083 9,250 4,625 13,876 6,938 3,469 10,408 5,204 2,602 1,301 3,904 1,952 976 488 244

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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