λ
Ratio Atlas
Atlas › Integer Profiles › Node 73,733,192
73,733,192
23 × 13 × 97 × 7309
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 13 × 97 × 7309
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 150,439,800
Proper Divisor Sum 76,706,608
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #73733183 ← → #73733237

Radix Representation

Decimal 73733192
Binary 100011001010001010001001000 (27 bits)
Octal 0o431212110
Hexadecimal 0x4651448

Divisor Catalog (32)

1 2 4 8 13 26 52 97 104 194 388 776 1,261 2,522 5,044 7,309 10,088 14,618 29,236 58,472 95,017 190,034 380,068 708,973 760,136 1,417,946 2,835,892 5,671,784 9,216,649 18,433,298 36,866,596 73,733,192

Collatz Trajectory (109 steps to reach 1)

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

73,733,192 36,866,596 18,433,298 9,216,649 27,649,948 13,824,974 6,912,487 20,737,462 10,368,731 31,106,194 15,553,097 46,659,292 23,329,646 11,664,823 34,994,470 17,497,235 52,491,706 26,245,853 78,737,560 39,368,780 19,684,390 9,842,195 29,526,586 14,763,293 44,289,880 22,144,940 11,072,470 5,536,235 16,608,706 8,304,353 24,913,060 12,456,530 6,228,265 18,684,796 9,342,398 4,671,199 14,013,598 7,006,799 21,020,398 10,510,199 31,530,598 15,765,299 47,295,898 23,647,949 70,943,848 35,471,924 17,735,962 8,867,981 26,603,944 13,301,972 6,650,986 3,325,493 9,976,480 4,988,240 2,494,120 1,247,060 623,530 311,765 935,296 467,648

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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