2 × 3³ × 5 × 7³ × 167

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 7^3 × 167

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 48,384,000

Proper Divisor Sum 32,918,130

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #15465839 ← → #15465871

Radix Representation

Decimal	15465870
Binary	111010111111110110001110 (24 bits)
Octal	0o72776616
Hexadecimal	0xEBFD8E

Divisor Catalog (60 of 128)

1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 90 98 105 126 135 147 167 189 210 245 270 294 315 334 343 378 441 490 501 630 686 735 835 882 945 1,002 1,029 1,169 1,323 1,470 1,503 1,670 1,715 1,890 2,058 2,205 2,338 2,505 2,646

Collatz Trajectory (218 steps to reach 1)

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

15,465,870 7,732,935 23,198,806 11,599,403 34,798,210 17,399,105 52,197,316 26,098,658 13,049,329 39,147,988 19,573,994 9,786,997 29,360,992 14,680,496 7,340,248 3,670,124 1,835,062 917,531 2,752,594 1,376,297 4,128,892 2,064,446 1,032,223 3,096,670 1,548,335 4,645,006 2,322,503 6,967,510 3,483,755 10,451,266 5,225,633 15,676,900 7,838,450 3,919,225 11,757,676 5,878,838 2,939,419 8,818,258 4,409,129 13,227,388 6,613,694 3,306,847 9,920,542 4,960,271 14,880,814 7,440,407 22,321,222 11,160,611 33,481,834 16,740,917 50,222,752 25,111,376 12,555,688 6,277,844 3,138,922 1,569,461 4,708,384 2,354,192 1,177,096 588,548

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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