λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,563,192
4,563,192
23 × 3 × 19 × 10007
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 19 × 10007
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,009,600
Proper Divisor Sum 7,446,408
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4563151 ← → #4563197

Radix Representation

Decimal 4563192
Binary 10001011010000011111000 (23 bits)
Octal 0o21320370
Hexadecimal 0x45A0F8

Divisor Catalog (32)

1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 10,007 20,014 30,021 40,028 60,042 80,056 120,084 190,133 240,168 380,266 570,399 760,532 1,140,798 1,521,064 2,281,596 4,563,192

Collatz Trajectory (286 steps to reach 1)

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

4,563,192 2,281,596 1,140,798 570,399 1,711,198 855,599 2,566,798 1,283,399 3,850,198 1,925,099 5,775,298 2,887,649 8,662,948 4,331,474 2,165,737 6,497,212 3,248,606 1,624,303 4,872,910 2,436,455 7,309,366 3,654,683 10,964,050 5,482,025 16,446,076 8,223,038 4,111,519 12,334,558 6,167,279 18,501,838 9,250,919 27,752,758 13,876,379 41,629,138 20,814,569 62,443,708 31,221,854 15,610,927 46,832,782 23,416,391 70,249,174 35,124,587 105,373,762 52,686,881 158,060,644 79,030,322 39,515,161 118,545,484 59,272,742 29,636,371 88,909,114 44,454,557 133,363,672 66,681,836 33,340,918 16,670,459 50,011,378 25,005,689 75,017,068 37,508,534

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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