λ
Ratio Atlas
Atlas › Integer Profiles › Node 72,040,104
72,040,104
23 × 34 × 107 × 1039
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^4 × 107 × 1039
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 203,860,800
Proper Divisor Sum 131,820,696
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #72040103 ← → #72040127

Radix Representation

Decimal 72040104
Binary 100010010110011111010101000 (27 bits)
Octal 0o422637250
Hexadecimal 0x44B3EA8

Divisor Catalog (60 of 80)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 107 108 162 214 216 321 324 428 642 648 856 963 1,039 1,284 1,926 2,078 2,568 2,889 3,117 3,852 4,156 5,778 6,234 7,704 8,312 8,667 9,351 11,556 12,468 17,334 18,702 23,112 24,936 28,053 34,668 37,404 56,106 69,336 74,808 84,159 111,173 112,212 168,318 222,346 224,424

Collatz Trajectory (91 steps to reach 1)

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

72,040,104 36,020,052 18,010,026 9,005,013 27,015,040 13,507,520 6,753,760 3,376,880 1,688,440 844,220 422,110 211,055 633,166 316,583 949,750 474,875 1,424,626 712,313 2,136,940 1,068,470 534,235 1,602,706 801,353 2,404,060 1,202,030 601,015 1,803,046 901,523 2,704,570 1,352,285 4,056,856 2,028,428 1,014,214 507,107 1,521,322 760,661 2,281,984 1,140,992 570,496 285,248 142,624 71,312 35,656 17,828 8,914 4,457 13,372 6,686 3,343 10,030 5,015 15,046 7,523 22,570 11,285 33,856 16,928 8,464 4,232 2,116

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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