2⁴ × 5 × 7² × 13 × 157

Prime Factor Structure

Factorization String 2^4 × 5 × 7^2 × 13 × 157

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 23,451,624

Proper Divisor Sum 15,450,904

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #8000719 ← → #8000747

Radix Representation

Decimal	8000720
Binary	11110100001010011010000 (23 bits)
Octal	0o36412320
Hexadecimal	0x7A14D0

Divisor Catalog (60 of 120)

1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 49 52 56 65 70 80 91 98 104 112 130 140 157 182 196 208 245 260 280 314 364 392 455 490 520 560 628 637 728 784 785 910 980 1,040 1,099 1,256 1,274 1,456 1,570 1,820 1,960 2,041 2,198 2,512 2,548

Collatz Trajectory (142 steps to reach 1)

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

8,000,720 4,000,360 2,000,180 1,000,090 500,045 1,500,136 750,068 375,034 187,517 562,552 281,276 140,638 70,319 210,958 105,479 316,438 158,219 474,658 237,329 711,988 355,994 177,997 533,992 266,996 133,498 66,749 200,248 100,124 50,062 25,031 75,094 37,547 112,642 56,321 168,964 84,482 42,241 126,724 63,362 31,681 95,044 47,522 23,761 71,284 35,642 17,821 53,464 26,732 13,366 6,683 20,050 10,025 30,076 15,038 7,519 22,558 11,279 33,838 16,919 50,758

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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