2⁷ × 3 × 7 × 71 × 79

Prime Factor Structure

Factorization String 2^7 × 3 × 7 × 71 × 79

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 47,001,600

Proper Divisor Sum 31,924,608

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #15076981 ← → #15076993

Radix Representation

Decimal	15076992
Binary	111001100000111010000000 (24 bits)
Octal	0o71407200
Hexadecimal	0xE60E80

Divisor Catalog (60 of 128)

1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 71 79 84 96 112 128 142 158 168 192 213 224 237 284 316 336 384 426 448 474 497 553 568 632 672 852 896 948 994 1,106 1,136 1,264 1,344 1,491 1,659 1,704 1,896 1,988 2,212 2,272 2,528 2,688

Collatz Trajectory (112 steps to reach 1)

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

15,076,992 7,538,496 3,769,248 1,884,624 942,312 471,156 235,578 117,789 353,368 176,684 88,342 44,171 132,514 66,257 198,772 99,386 49,693 149,080 74,540 37,270 18,635 55,906 27,953 83,860 41,930 20,965 62,896 31,448 15,724 7,862 3,931 11,794 5,897 17,692 8,846 4,423 13,270 6,635 19,906 9,953 29,860 14,930 7,465 22,396 11,198 5,599 16,798 8,399 25,198 12,599 37,798 18,899 56,698 28,349 85,048 42,524 21,262 10,631 31,894 15,947

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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