λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,747,324
9,747,324
22 × 33 × 17 × 5309
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^3 × 17 × 5309
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 26,762,400
Proper Divisor Sum 17,015,076
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9747301 ← → #9747337

Radix Representation

Decimal 9747324
Binary 100101001011101101111100 (24 bits)
Octal 0o45135574
Hexadecimal 0x94BB7C

Divisor Catalog (48)

1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1,836 5,309 10,618 15,927 21,236 31,854 47,781 63,708 90,253 95,562 143,343 180,506 191,124 270,759 286,686 361,012 541,518 573,372 812,277 1,083,036 1,624,554 2,436,831 3,249,108 4,873,662 9,747,324

Collatz Trajectory (150 steps to reach 1)

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

9,747,324 4,873,662 2,436,831 7,310,494 3,655,247 10,965,742 5,482,871 16,448,614 8,224,307 24,672,922 12,336,461 37,009,384 18,504,692 9,252,346 4,626,173 13,878,520 6,939,260 3,469,630 1,734,815 5,204,446 2,602,223 7,806,670 3,903,335 11,710,006 5,855,003 17,565,010 8,782,505 26,347,516 13,173,758 6,586,879 19,760,638 9,880,319 29,640,958 14,820,479 44,461,438 22,230,719 66,692,158 33,346,079 100,038,238 50,019,119 150,057,358 75,028,679 225,086,038 112,543,019 337,629,058 168,814,529 506,443,588 253,221,794 126,610,897 379,832,692 189,916,346 94,958,173 284,874,520 142,437,260 71,218,630 35,609,315 106,827,946 53,413,973 160,241,920 80,120,960

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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