λ
Ratio Atlas
Atlas › Integer Profiles › Node 48,833,486
48,833,486
2 × 13 × 172 × 67 × 97
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 13 × 17^2 × 67 × 97
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 85,925,616
Proper Divisor Sum 37,092,130
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #48833479 ← → #48833539

Radix Representation

Decimal 48833486
Binary 10111010010010001111001110 (26 bits)
Octal 0o272221716
Hexadecimal 0x2E923CE

Divisor Catalog (48)

1 2 13 17 26 34 67 97 134 194 221 289 442 578 871 1,139 1,261 1,649 1,742 2,278 2,522 3,298 3,757 6,499 7,514 12,998 14,807 19,363 21,437 28,033 29,614 38,726 42,874 56,066 84,487 110,483 168,974 220,966 251,719 364,429 503,438 728,858 1,436,279 1,878,211 2,872,558 3,756,422 24,416,743 48,833,486

Collatz Trajectory (336 steps to reach 1)

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

48,833,486 24,416,743 73,250,230 36,625,115 109,875,346 54,937,673 164,813,020 82,406,510 41,203,255 123,609,766 61,804,883 185,414,650 92,707,325 278,121,976 139,060,988 69,530,494 34,765,247 104,295,742 52,147,871 156,443,614 78,221,807 234,665,422 117,332,711 351,998,134 175,999,067 527,997,202 263,998,601 791,995,804 395,997,902 197,998,951 593,996,854 296,998,427 890,995,282 445,497,641 1,336,492,924 668,246,462 334,123,231 1,002,369,694 501,184,847 1,503,554,542 751,777,271 2,255,331,814 1,127,665,907 3,382,997,722 1,691,498,861 5,074,496,584 2,537,248,292 1,268,624,146 634,312,073 1,902,936,220 951,468,110 475,734,055 1,427,202,166 713,601,083 2,140,803,250 1,070,401,625 3,211,204,876 1,605,602,438 802,801,219 2,408,403,658

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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