2⁶ × 3 × 5 × 17 × 23 × 31

Prime Factor Structure

Factorization String 2^6 × 3 × 5 × 17 × 23 × 31

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 224

Divisor Sum (σ) 42,135,552

Proper Divisor Sum 30,499,392

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #11636159 ← → #11636173

Radix Representation

Decimal	11636160
Binary	101100011000110111000000 (24 bits)
Octal	0o54306700
Hexadecimal	0xB18DC0

Divisor Catalog (60 of 224)

1 2 3 4 5 6 8 10 12 15 16 17 20 23 24 30 31 32 34 40 46 48 51 60 62 64 68 69 80 85 92 93 96 102 115 120 124 136 138 155 160 170 184 186 192 204 230 240 248 255 272 276 310 320 340 345 368 372 391 408

Collatz Trajectory (215 steps to reach 1)

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

11,636,160 5,818,080 2,909,040 1,454,520 727,260 363,630 181,815 545,446 272,723 818,170 409,085 1,227,256 613,628 306,814 153,407 460,222 230,111 690,334 345,167 1,035,502 517,751 1,553,254 776,627 2,329,882 1,164,941 3,494,824 1,747,412 873,706 436,853 1,310,560 655,280 327,640 163,820 81,910 40,955 122,866 61,433 184,300 92,150 46,075 138,226 69,113 207,340 103,670 51,835 155,506 77,753 233,260 116,630 58,315 174,946 87,473 262,420 131,210 65,605 196,816 98,408 49,204 24,602 12,301

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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