λ
Ratio Atlas
Atlas › Integer Profiles › Node 48,522,110
48,522,110
2 × 5 × 7 × 13 × 71 × 751
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 7 × 13 × 71 × 751
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 109,154,304
Proper Divisor Sum 60,632,194
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #48522109 ← → #48522119

Radix Representation

Decimal 48522110
Binary 10111001000110001101111110 (26 bits)
Octal 0o271061576
Hexadecimal 0x2E4637E

Divisor Catalog (60 of 64)

1 2 5 7 10 13 14 26 35 65 70 71 91 130 142 182 355 455 497 710 751 910 923 994 1,502 1,846 2,485 3,755 4,615 4,970 5,257 6,461 7,510 9,230 9,763 10,514 12,922 19,526 26,285 32,305 48,815 52,570 53,321 64,610 68,341 97,630 106,642 136,682 266,605 341,705 373,247 533,210 683,410 693,173 746,494 1,386,346 1,866,235 3,465,865 3,732,470 4,852,211

Collatz Trajectory (292 steps to reach 1)

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

48,522,110 24,261,055 72,783,166 36,391,583 109,174,750 54,587,375 163,762,126 81,881,063 245,643,190 122,821,595 368,464,786 184,232,393 552,697,180 276,348,590 138,174,295 414,522,886 207,261,443 621,784,330 310,892,165 932,676,496 466,338,248 233,169,124 116,584,562 58,292,281 174,876,844 87,438,422 43,719,211 131,157,634 65,578,817 196,736,452 98,368,226 49,184,113 147,552,340 73,776,170 36,888,085 110,664,256 55,332,128 27,666,064 13,833,032 6,916,516 3,458,258 1,729,129 5,187,388 2,593,694 1,296,847 3,890,542 1,945,271 5,835,814 2,917,907 8,753,722 4,376,861 13,130,584 6,565,292 3,282,646 1,641,323 4,923,970 2,461,985 7,385,956 3,692,978 1,846,489

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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