λ
Ratio Atlas
Atlas › Integer Profiles › Node 49,892,004
49,892,004
22 × 33 × 47 × 9829
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^3 × 47 × 9829
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 132,115,200
Proper Divisor Sum 82,223,196
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #49891987 ← → #49892009

Radix Representation

Decimal 49892004
Binary 10111110010100101010100100 (26 bits)
Octal 0o276245244
Hexadecimal 0x2F94AA4

Divisor Catalog (48)

1 2 3 4 6 9 12 18 27 36 47 54 94 108 141 188 282 423 564 846 1,269 1,692 2,538 5,076 9,829 19,658 29,487 39,316 58,974 88,461 117,948 176,922 265,383 353,844 461,963 530,766 923,926 1,061,532 1,385,889 1,847,852 2,771,778 4,157,667 5,543,556 8,315,334 12,473,001 16,630,668 24,946,002 49,892,004

Collatz Trajectory (305 steps to reach 1)

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

49,892,004 24,946,002 12,473,001 37,419,004 18,709,502 9,354,751 28,064,254 14,032,127 42,096,382 21,048,191 63,144,574 31,572,287 94,716,862 47,358,431 142,075,294 71,037,647 213,112,942 106,556,471 319,669,414 159,834,707 479,504,122 239,752,061 719,256,184 359,628,092 179,814,046 89,907,023 269,721,070 134,860,535 404,581,606 202,290,803 606,872,410 303,436,205 910,308,616 455,154,308 227,577,154 113,788,577 341,365,732 170,682,866 85,341,433 256,024,300 128,012,150 64,006,075 192,018,226 96,009,113 288,027,340 144,013,670 72,006,835 216,020,506 108,010,253 324,030,760 162,015,380 81,007,690 40,503,845 121,511,536 60,755,768 30,377,884 15,188,942 7,594,471 22,783,414 11,391,707

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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