2⁶ × 3² × 5 × 37 × 347

Prime Factor Structure

Factorization String 2^6 × 3^2 × 5 × 37 × 347

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 168

Divisor Sum (σ) 130,996,944

Proper Divisor Sum 94,020,624

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #36976319 ← → #36976321

Radix Representation

Decimal	36976320
Binary	10001101000011011011000000 (26 bits)
Octal	0o215033300
Hexadecimal	0x23436C0

Divisor Catalog (60 of 168)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 37 40 45 48 60 64 72 74 80 90 96 111 120 144 148 160 180 185 192 222 240 288 296 320 333 347 360 370 444 480 555 576 592 666 694 720 740 888 960 1,041 1,110 1,184

Collatz Trajectory (152 steps to reach 1)

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

36,976,320 18,488,160 9,244,080 4,622,040 2,311,020 1,155,510 577,755 1,733,266 866,633 2,599,900 1,299,950 649,975 1,949,926 974,963 2,924,890 1,462,445 4,387,336 2,193,668 1,096,834 548,417 1,645,252 822,626 411,313 1,233,940 616,970 308,485 925,456 462,728 231,364 115,682 57,841 173,524 86,762 43,381 130,144 65,072 32,536 16,268 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456 728 364 182

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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